---
_id: '16450'
abstract:
- lang: eng
  text: "In this paper, we solve the local gathering problem of a swarm of $n$\r\nindistinguishable,
    point-shaped robots on a two dimensional grid in\r\nasymptotically optimal time
    $\\mathcal{O}(n)$ in the fully synchronous\r\n$\\mathcal{FSYNC}$ time model. Given
    an arbitrarily distributed (yet connected)\r\nswarm of robots, the gathering problem
    on the grid is to locate all robots\r\nwithin a $2\\times 2$-sized area that is
    not known beforehand. Two robots are\r\nconnected if they are vertical or horizontal
    neighbors on the grid. The\r\nlocality constraint means that no global control,
    no compass, no global\r\ncommunication and only local vision is available; hence,
    a robot can only see\r\nits grid neighbors up to a constant $L_1$-distance, which
    also limits its\r\nmovements. A robot can move to one of its eight neighboring
    grid cells and if\r\ntwo or more robots move to the same location they are \\emph{merged}
    to be only\r\none robot. The locality constraint is the significant challenging
    issue here,\r\nsince robot movements must not harm the (only globally checkable)
    swarm\r\nconnectivity. For solving the gathering problem, we provide a synchronous\r\nalgorithm
    -- executed by every robot -- which ensures that robots merge without\r\nbreaking
    the swarm connectivity. In our model, robots can obtain a special\r\nstate, which
    marks such a robot to be performing specific connectivity\r\npreserving movements
    in order to allow later merge operations of the swarm.\r\nCompared to the grid,
    for gathering in the Euclidean plane for the same robot\r\nand time model the
    best known upper bound is $\\mathcal{O}(n^2)$."
author:
- first_name: 'Andreas '
  full_name: 'Cord-Landwehr, Andreas '
  last_name: Cord-Landwehr
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: Cord-Landwehr A, Fischer M, Jung D, Meyer auf der Heide F. Asymptotically Optimal
    Gathering on a Grid. <i>arXiv:160203303</i>. 2016.
  apa: Cord-Landwehr, A., Fischer, M., Jung, D., &#38; Meyer auf der Heide, F. (2016).
    Asymptotically Optimal Gathering on a Grid. <i>ArXiv:1602.03303</i>.
  bibtex: '@article{Cord-Landwehr_Fischer_Jung_Meyer auf der Heide_2016, title={Asymptotically
    Optimal Gathering on a Grid}, journal={arXiv:1602.03303}, author={Cord-Landwehr,
    Andreas  and Fischer, Matthias and Jung, Daniel and Meyer auf der Heide, Friedhelm},
    year={2016} }'
  chicago: Cord-Landwehr, Andreas , Matthias Fischer, Daniel Jung, and Friedhelm Meyer
    auf der Heide. “Asymptotically Optimal Gathering on a Grid.” <i>ArXiv:1602.03303</i>,
    2016.
  ieee: A. Cord-Landwehr, M. Fischer, D. Jung, and F. Meyer auf der Heide, “Asymptotically
    Optimal Gathering on a Grid,” <i>arXiv:1602.03303</i>. 2016.
  mla: Cord-Landwehr, Andreas, et al. “Asymptotically Optimal Gathering on a Grid.”
    <i>ArXiv:1602.03303</i>, 2016.
  short: A. Cord-Landwehr, M. Fischer, D. Jung, F. Meyer auf der Heide, ArXiv:1602.03303
    (2016).
date_created: 2020-04-07T07:20:47Z
date_updated: 2022-01-06T06:52:50Z
department:
- _id: '63'
external_id:
  arxiv:
  - '1602.03303'
language:
- iso: eng
publication: arXiv:1602.03303
status: public
title: Asymptotically Optimal Gathering on a Grid
type: preprint
user_id: '15415'
year: '2016'
...
---
_id: '157'
abstract:
- lang: eng
  text: Consider a scheduling problem in which a set of jobs with interjob communication,
    canonically represented by a weighted tree, needs to be scheduled on m parallel
    processors interconnected by a shared communication channel. In each time step,
    we may allow any processed job to use a certain capacity of the channel in order
    to satisfy (parts of) its communication demands to adjacent jobs processed in
    parallel. The goal is to find a schedule that minimizes the makespan and in which
    communication demands of all jobs are satisfied.We show that this problem is NP-hard
    in the strong sense even if the number of processors and the maximum degree of
    the underlying tree is constant.Consequently, we design and analyze simple approximation
    algorithms with asymptotic approximation ratio 2-2/m in case of paths and a ratio
    of 5/2 in case of arbitrary trees.
author:
- first_name: Jürgen
  full_name: König, Jürgen
  last_name: König
- first_name: Alexander
  full_name: Mäcker, Alexander
  id: '13536'
  last_name: Mäcker
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Sören
  full_name: Riechers, Sören
  last_name: Riechers
citation:
  ama: 'König J, Mäcker A, Meyer auf der Heide F, Riechers S. Scheduling with Interjob
    Communication on Parallel Processors. In: <i>Proceedings of the 10th Annual International
    Conference on Combinatorial Optimization and Applications (COCOA)</i>. LNCS. ;
    2016:563--577. doi:<a href="https://doi.org/10.1007/978-3-319-48749-6_41">10.1007/978-3-319-48749-6_41</a>'
  apa: König, J., Mäcker, A., Meyer auf der Heide, F., &#38; Riechers, S. (2016).
    Scheduling with Interjob Communication on Parallel Processors. In <i>Proceedings
    of the 10th Annual International Conference on Combinatorial Optimization and
    Applications (COCOA)</i> (pp. 563--577). <a href="https://doi.org/10.1007/978-3-319-48749-6_41">https://doi.org/10.1007/978-3-319-48749-6_41</a>
  bibtex: '@inproceedings{König_Mäcker_Meyer auf der Heide_Riechers_2016, series={LNCS},
    title={Scheduling with Interjob Communication on Parallel Processors}, DOI={<a
    href="https://doi.org/10.1007/978-3-319-48749-6_41">10.1007/978-3-319-48749-6_41</a>},
    booktitle={Proceedings of the 10th Annual International Conference on Combinatorial
    Optimization and Applications (COCOA)}, author={König, Jürgen and Mäcker, Alexander
    and Meyer auf der Heide, Friedhelm and Riechers, Sören}, year={2016}, pages={563--577},
    collection={LNCS} }'
  chicago: König, Jürgen, Alexander Mäcker, Friedhelm Meyer auf der Heide, and Sören
    Riechers. “Scheduling with Interjob Communication on Parallel Processors.” In
    <i>Proceedings of the 10th Annual International Conference on Combinatorial Optimization
    and Applications (COCOA)</i>, 563--577. LNCS, 2016. <a href="https://doi.org/10.1007/978-3-319-48749-6_41">https://doi.org/10.1007/978-3-319-48749-6_41</a>.
  ieee: J. König, A. Mäcker, F. Meyer auf der Heide, and S. Riechers, “Scheduling
    with Interjob Communication on Parallel Processors,” in <i>Proceedings of the
    10th Annual International Conference on Combinatorial Optimization and Applications
    (COCOA)</i>, 2016, pp. 563--577.
  mla: König, Jürgen, et al. “Scheduling with Interjob Communication on Parallel Processors.”
    <i>Proceedings of the 10th Annual International Conference on Combinatorial Optimization
    and Applications (COCOA)</i>, 2016, pp. 563--577, doi:<a href="https://doi.org/10.1007/978-3-319-48749-6_41">10.1007/978-3-319-48749-6_41</a>.
  short: 'J. König, A. Mäcker, F. Meyer auf der Heide, S. Riechers, in: Proceedings
    of the 10th Annual International Conference on Combinatorial Optimization and
    Applications (COCOA), 2016, pp. 563--577.'
date_created: 2017-10-17T12:41:22Z
date_updated: 2022-01-06T06:52:32Z
ddc:
- '040'
department:
- _id: '63'
doi: 10.1007/978-3-319-48749-6_41
file:
- access_level: closed
  content_type: application/pdf
  creator: florida
  date_created: 2018-03-21T12:50:29Z
  date_updated: 2018-03-21T12:50:29Z
  file_id: '1549'
  file_name: 157-chp_3A10.1007_2F978-3-319-48749-6_41.pdf
  file_size: 753147
  relation: main_file
  success: 1
file_date_updated: 2018-03-21T12:50:29Z
has_accepted_license: '1'
page: 563--577
project:
- _id: '1'
  name: SFB 901
- _id: '16'
  name: SFB 901 - Subprojekt C4
- _id: '4'
  name: SFB 901 - Project Area C
publication: Proceedings of the 10th Annual International Conference on Combinatorial
  Optimization and Applications (COCOA)
series_title: LNCS
status: public
title: Scheduling with Interjob Communication on Parallel Processors
type: conference
user_id: '15504'
year: '2016'
...
---
_id: '163'
citation:
  ama: Dressler F, Meyer auf der Heide F, eds. <i>Proceedings of the 17th ACM International
    Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc)</i>. ACM; 2016.
    doi:<a href="https://doi.org/10.1145/2942358">10.1145/2942358</a>
  apa: 'Dressler, F., &#38; Meyer auf der Heide, F. (Eds.). (2016). <i>Proceedings
    of the 17th ACM International Symposium on Mobile Ad Hoc Networking and Computing
    (MobiHoc)</i>. Presented at the MobiHoc, Paderborn, Germany: ACM. <a href="https://doi.org/10.1145/2942358">https://doi.org/10.1145/2942358</a>'
  bibtex: '@book{Dressler_Meyer auf der Heide_2016, title={Proceedings of the 17th
    ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc)},
    DOI={<a href="https://doi.org/10.1145/2942358">10.1145/2942358</a>}, publisher={ACM},
    year={2016} }'
  chicago: Dressler, Falko, and Friedhelm Meyer auf der Heide, eds. <i>Proceedings
    of the 17th ACM International Symposium on Mobile Ad Hoc Networking and Computing
    (MobiHoc)</i>. ACM, 2016. <a href="https://doi.org/10.1145/2942358">https://doi.org/10.1145/2942358</a>.
  ieee: F. Dressler and F. Meyer auf der Heide, Eds., <i>Proceedings of the 17th ACM
    International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc)</i>.
    ACM, 2016.
  mla: Dressler, Falko, and Friedhelm Meyer auf der Heide, editors. <i>Proceedings
    of the 17th ACM International Symposium on Mobile Ad Hoc Networking and Computing
    (MobiHoc)</i>. ACM, 2016, doi:<a href="https://doi.org/10.1145/2942358">10.1145/2942358</a>.
  short: F. Dressler, F. Meyer auf der Heide, eds., Proceedings of the 17th ACM International
    Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc), ACM, 2016.
conference:
  end_date: 2016-07-08
  location: Paderborn, Germany
  name: MobiHoc
  start_date: 2016-07-04
date_created: 2017-10-17T12:41:23Z
date_updated: 2022-01-06T06:52:48Z
department:
- _id: '63'
doi: 10.1145/2942358
editor:
- first_name: Falko
  full_name: Dressler, Falko
  last_name: Dressler
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
project:
- _id: '1'
  name: SFB 901
- _id: '16'
  name: SFB 901 - Subprojekt C4
- _id: '4'
  name: SFB 901 - Project Area C
publisher: ACM
status: public
title: Proceedings of the 17th ACM International Symposium on Mobile Ad Hoc Networking
  and Computing (MobiHoc)
type: conference_editor
user_id: '15504'
year: '2016'
...
---
_id: '16351'
abstract:
- lang: eng
  text: "Defining, measuring, and comparing the quality and efficiency of rendering
    algorithms in computer graphics is a demanding challenge: quality measures are
    often application specific and efficiency is strongly influenced by properties
    of the rendered scene and the used hardware. We survey the currently employed
    evaluation methods for AQ1 the development process of rendering algorithms. Then,
    we present our PADrend framework, which supports systematic and flexible development,
    evaluation, adaptation, and comparison of rendering algorithms, and provides a
    comfortable and easy-to-use platform for developers of rendering algorithms. The
    system includes a new evaluation method to improve the objectivity of experimental
    evaluations of rendering algorithms.\r\n"
author:
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Claudius
  full_name: Jähn, Claudius
  last_name: Jähn
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Ralf
  full_name: Petring, Ralf
  last_name: Petring
citation:
  ama: 'Fischer M, Jähn C, Meyer auf der Heide F, Petring R. Algorithm Engineering
    Aspects of Real-Time Rendering Algorithms. In: Kliemann L, Sanders P, eds. <i>Algorithm
    Engineering</i>. Vol 9220. LNCS. Springer; 2016:226-244. doi:<a href="https://doi.org/10.1007/978-3-319-49487-6_7
    ">10.1007/978-3-319-49487-6_7 </a>'
  apa: Fischer, M., Jähn, C., Meyer auf der Heide, F., &#38; Petring, R. (2016). Algorithm
    Engineering Aspects of Real-Time Rendering Algorithms. In L. Kliemann &#38; P.
    Sanders (Eds.), <i>Algorithm Engineering</i> (Vol. 9220, pp. 226–244). Springer.
    <a href="https://doi.org/10.1007/978-3-319-49487-6_7 ">https://doi.org/10.1007/978-3-319-49487-6_7
    </a>
  bibtex: '@inproceedings{Fischer_Jähn_Meyer auf der Heide_Petring_2016, series={LNCS},
    title={Algorithm Engineering Aspects of Real-Time Rendering Algorithms}, volume={9220},
    DOI={<a href="https://doi.org/10.1007/978-3-319-49487-6_7 ">10.1007/978-3-319-49487-6_7
    </a>}, booktitle={Algorithm Engineering}, publisher={Springer}, author={Fischer,
    Matthias and Jähn, Claudius and Meyer auf der Heide, Friedhelm and Petring, Ralf},
    editor={Kliemann, Lasse and Sanders, PeterEditors}, year={2016}, pages={226–244},
    collection={LNCS} }'
  chicago: Fischer, Matthias, Claudius Jähn, Friedhelm Meyer auf der Heide, and Ralf
    Petring. “Algorithm Engineering Aspects of Real-Time Rendering Algorithms.” In
    <i>Algorithm Engineering</i>, edited by Lasse Kliemann and Peter Sanders, 9220:226–44.
    LNCS. Springer, 2016. <a href="https://doi.org/10.1007/978-3-319-49487-6_7 ">https://doi.org/10.1007/978-3-319-49487-6_7
    </a>.
  ieee: M. Fischer, C. Jähn, F. Meyer auf der Heide, and R. Petring, “Algorithm Engineering
    Aspects of Real-Time Rendering Algorithms,” in <i>Algorithm Engineering</i>, 2016,
    vol. 9220, pp. 226–244.
  mla: Fischer, Matthias, et al. “Algorithm Engineering Aspects of Real-Time Rendering
    Algorithms.” <i>Algorithm Engineering</i>, edited by Lasse Kliemann and Peter
    Sanders, vol. 9220, Springer, 2016, pp. 226–44, doi:<a href="https://doi.org/10.1007/978-3-319-49487-6_7
    ">10.1007/978-3-319-49487-6_7 </a>.
  short: 'M. Fischer, C. Jähn, F. Meyer auf der Heide, R. Petring, in: L. Kliemann,
    P. Sanders (Eds.), Algorithm Engineering, Springer, 2016, pp. 226–244.'
date_created: 2020-03-30T10:21:53Z
date_updated: 2022-01-06T06:52:49Z
department:
- _id: '63'
doi: '10.1007/978-3-319-49487-6_7 '
editor:
- first_name: Lasse
  full_name: Kliemann, Lasse
  last_name: Kliemann
- first_name: Peter
  full_name: Sanders, Peter
  last_name: Sanders
intvolume: '      9220'
language:
- iso: eng
page: 226-244
publication: Algorithm Engineering
publisher: Springer
series_title: LNCS
status: public
title: Algorithm Engineering Aspects of Real-Time Rendering Algorithms
type: conference
user_id: '15415'
volume: 9220
year: '2016'
...
---
_id: '16358'
author:
- first_name: Shouwei
  full_name: Li, Shouwei
  last_name: Li
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Pavel
  full_name: Podlipyan, Pavel
  last_name: Podlipyan
citation:
  ama: 'Li S, Meyer auf der Heide F, Podlipyan P. The impact of the Gabriel subgraph
    of the visibility graph on the gathering of mobile autonomous robots. In: <i>Algorithms
    for Sensor Systems, Proceedings of the 12th International Symposium on Algorithms
    and Experiments for Wireless Sensor Networks (ALGOSENSORS)</i>. Springer; 2016.
    doi:<a href="https://doi.org/10.1007/978-3-319-53058-1_5 ">10.1007/978-3-319-53058-1_5
    </a>'
  apa: Li, S., Meyer auf der Heide, F., &#38; Podlipyan, P. (2016). The impact of
    the Gabriel subgraph of the visibility graph on the gathering of mobile autonomous
    robots. In <i>Algorithms for Sensor Systems, Proceedings of the 12th International
    Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS)</i>.
    Springer. <a href="https://doi.org/10.1007/978-3-319-53058-1_5 ">https://doi.org/10.1007/978-3-319-53058-1_5
    </a>
  bibtex: '@inproceedings{Li_Meyer auf der Heide_Podlipyan_2016, title={The impact
    of the Gabriel subgraph of the visibility graph on the gathering of mobile autonomous
    robots}, DOI={<a href="https://doi.org/10.1007/978-3-319-53058-1_5 ">10.1007/978-3-319-53058-1_5
    </a>}, booktitle={Algorithms for Sensor Systems, Proceedings of the 12th International
    Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS)},
    publisher={Springer}, author={Li, Shouwei and Meyer auf der Heide, Friedhelm and
    Podlipyan, Pavel}, year={2016} }'
  chicago: Li, Shouwei, Friedhelm Meyer auf der Heide, and Pavel Podlipyan. “The Impact
    of the Gabriel Subgraph of the Visibility Graph on the Gathering of Mobile Autonomous
    Robots.” In <i>Algorithms for Sensor Systems, Proceedings of the 12th International
    Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS)</i>.
    Springer, 2016. <a href="https://doi.org/10.1007/978-3-319-53058-1_5 ">https://doi.org/10.1007/978-3-319-53058-1_5
    </a>.
  ieee: S. Li, F. Meyer auf der Heide, and P. Podlipyan, “The impact of the Gabriel
    subgraph of the visibility graph on the gathering of mobile autonomous robots,”
    in <i>Algorithms for Sensor Systems, Proceedings of the 12th International Symposium
    on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS)</i>,
    2016.
  mla: Li, Shouwei, et al. “The Impact of the Gabriel Subgraph of the Visibility Graph
    on the Gathering of Mobile Autonomous Robots.” <i>Algorithms for Sensor Systems,
    Proceedings of the 12th International Symposium on Algorithms and Experiments
    for Wireless Sensor Networks (ALGOSENSORS)</i>, Springer, 2016, doi:<a href="https://doi.org/10.1007/978-3-319-53058-1_5
    ">10.1007/978-3-319-53058-1_5 </a>.
  short: 'S. Li, F. Meyer auf der Heide, P. Podlipyan, in: Algorithms for Sensor Systems,
    Proceedings of the 12th International Symposium on Algorithms and Experiments
    for Wireless Sensor Networks (ALGOSENSORS), Springer, 2016.'
date_created: 2020-04-01T12:28:09Z
date_updated: 2022-01-06T06:52:49Z
department:
- _id: '63'
doi: '10.1007/978-3-319-53058-1_5 '
language:
- iso: eng
publication: Algorithms for Sensor Systems, Proceedings of the 12th International
  Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS)
publisher: Springer
status: public
title: The impact of the Gabriel subgraph of the visibility graph on the gathering
  of mobile autonomous robots
type: conference
user_id: '15415'
year: '2016'
...
---
_id: '16359'
abstract:
- lang: eng
  text: In this paper, we solve the local gathering problem of a swarm of n indistinguishable,
    point-shaped robots on a two dimensional grid in asymptotically optimal time O(n)
    in the fully synchronous FSYNC time model. Given an arbitrarily distributed (yet
    connected) swarm of robots, the gathering problem on the grid is to locate all
    robots within a 2x2- sized area that is not known beforehand. Two robots are connected
    if they are vertical or horizontal neighbors on the grid. The locality constraint
    means that no global control, no compass, no global communication and only local
    vision is available; hence, a robot can only see its grid neighbors up to a constant
    L1-distance, which also limits its movements. A robot can move to one of its eight
    neighboring grid cells and if two or more robots move to the same location they
    are merged to be only one robot. The locality constraint is the significant challenging
    issue here, since robot move- ments must not harm the (only globally checkable)
    swarm connectivity. For solving the gathering problem, we provide a synchronous
    algorithm { executed by every robot { which ensures that robots merge without
    breaking the swarm con- nectivity. In our model, robots can obtain a special state,
    which marks such a robot to be performing specific connec- tivity preserving movements
    in order to allow later merge operations of the swarm. Compared to the grid, for
    gath- ering in the Euclidean plane for the same robot and time model the best
    known upper bound is O(n^2).
author:
- first_name: Andreas
  full_name: Cord-Landwehr, Andreas
  last_name: Cord-Landwehr
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Cord-Landwehr A, Fischer M, Jung D, Meyer auf der Heide F. Asymptotically
    Optimal Gathering on a Grid. In: <i>Proceedings of the 28th ACM Symposium on Parallelism
    in Algorithms and Architectures (SPAA)</i>. ACM; 2016:301-312. doi:<a href="https://doi.org/10.1145/2935764.2935789">10.1145/2935764.2935789</a>'
  apa: Cord-Landwehr, A., Fischer, M., Jung, D., &#38; Meyer auf der Heide, F. (2016).
    Asymptotically Optimal Gathering on a Grid. In <i>Proceedings of the 28th ACM
    Symposium on Parallelism in Algorithms and Architectures (SPAA)</i> (pp. 301–312).
    ACM. <a href="https://doi.org/10.1145/2935764.2935789">https://doi.org/10.1145/2935764.2935789</a>
  bibtex: '@inproceedings{Cord-Landwehr_Fischer_Jung_Meyer auf der Heide_2016, title={Asymptotically
    Optimal Gathering on a Grid}, DOI={<a href="https://doi.org/10.1145/2935764.2935789">10.1145/2935764.2935789</a>},
    booktitle={Proceedings of the 28th ACM Symposium on Parallelism in Algorithms
    and Architectures (SPAA)}, publisher={ACM}, author={Cord-Landwehr, Andreas and
    Fischer, Matthias and Jung, Daniel and Meyer auf der Heide, Friedhelm}, year={2016},
    pages={301–312} }'
  chicago: Cord-Landwehr, Andreas, Matthias Fischer, Daniel Jung, and Friedhelm Meyer
    auf der Heide. “Asymptotically Optimal Gathering on a Grid.” In <i>Proceedings
    of the 28th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA)</i>,
    301–12. ACM, 2016. <a href="https://doi.org/10.1145/2935764.2935789">https://doi.org/10.1145/2935764.2935789</a>.
  ieee: A. Cord-Landwehr, M. Fischer, D. Jung, and F. Meyer auf der Heide, “Asymptotically
    Optimal Gathering on a Grid,” in <i>Proceedings of the 28th ACM Symposium on Parallelism
    in Algorithms and Architectures (SPAA)</i>, 2016, pp. 301–312.
  mla: Cord-Landwehr, Andreas, et al. “Asymptotically Optimal Gathering on a Grid.”
    <i>Proceedings of the 28th ACM Symposium on Parallelism in Algorithms and Architectures
    (SPAA)</i>, ACM, 2016, pp. 301–12, doi:<a href="https://doi.org/10.1145/2935764.2935789">10.1145/2935764.2935789</a>.
  short: 'A. Cord-Landwehr, M. Fischer, D. Jung, F. Meyer auf der Heide, in: Proceedings
    of the 28th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA),
    ACM, 2016, pp. 301–312.'
date_created: 2020-04-01T12:46:35Z
date_updated: 2022-01-06T06:52:49Z
department:
- _id: '63'
doi: 10.1145/2935764.2935789
language:
- iso: eng
page: 301-312
publication: Proceedings of the 28th ACM Symposium on Parallelism in Algorithms and
  Architectures (SPAA)
publisher: ACM
status: public
title: Asymptotically Optimal Gathering on a Grid
type: conference
user_id: '15415'
year: '2016'
...
---
_id: '16360'
abstract:
- lang: eng
  text: 'We consider the following variant of the two dimensional gathering problem
    for swarms of robots: Given a swarm of n indistinguishable, point shaped robots
    on a two dimensional grid. Initially, the robots form a closed chain on the grid
    and must keep this connectivity during the whole process of their gathering. Connectivity
    means, that neighboring robots of the chain need to be positioned at the same
    or neighboring points of the grid. In our model, gathering means to keep shortening
    the chain until the robots are located inside a 2*2 subgrid. Our model is completely
    local (no global control, no global coordinates, no compass, no global communication
    or vision, ...). Each robot can only see its next constant number of left and
    right neighbors on the chain. This fixed constant is called the viewing path length.
    All its operations and detections are restricted to this constant number of robots.
    Other robots, even if located at neighboring or the same grid point cannot be
    detected. Only based on the relative positions of its detectable chain neighbors,
    a robot can decide to obtain a certain state. Based on this state and their local
    knowledge, the robots do local modifications to the chain by moving to neighboring
    grid points without breaking the chain. These modifications are performed without
    the knowledge whether they lead to a global progress or not. We assume the fully
    synchronous FSYNC model. For this problem, we present a gathering algorithm which
    needs linear time. This result generalizes a result, where an open chain with
    specified distinguishable (and fixed) endpoints is considered. '
author:
- first_name: Sebastian
  full_name: Abshoff, Sebastian
  last_name: Abshoff
- first_name: Andreas
  full_name: Cord-Landwehr, Andreas
  last_name: Cord-Landwehr
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Abshoff S, Cord-Landwehr A, Fischer M, Jung D, Meyer auf der Heide F. Gathering
    a Closed Chain of Robots on a Grid. In: <i>Proceedings of the 30th International
    Parallel and Distributed Processing Symposium (IPDPS)</i>. IEEE; 2016:689-699.
    doi:<a href="https://doi.org/10.1109/IPDPS.2016.51">10.1109/IPDPS.2016.51</a>'
  apa: Abshoff, S., Cord-Landwehr, A., Fischer, M., Jung, D., &#38; Meyer auf der
    Heide, F. (2016). Gathering a Closed Chain of Robots on a Grid. In <i>Proceedings
    of the 30th International Parallel and Distributed Processing Symposium (IPDPS)</i>
    (pp. 689–699). IEEE. <a href="https://doi.org/10.1109/IPDPS.2016.51">https://doi.org/10.1109/IPDPS.2016.51</a>
  bibtex: '@inproceedings{Abshoff_Cord-Landwehr_Fischer_Jung_Meyer auf der Heide_2016,
    title={Gathering a Closed Chain of Robots on a Grid}, DOI={<a href="https://doi.org/10.1109/IPDPS.2016.51">10.1109/IPDPS.2016.51</a>},
    booktitle={Proceedings of the 30th International Parallel and Distributed Processing
    Symposium (IPDPS)}, publisher={IEEE}, author={Abshoff, Sebastian and Cord-Landwehr,
    Andreas and Fischer, Matthias and Jung, Daniel and Meyer auf der Heide, Friedhelm},
    year={2016}, pages={689–699} }'
  chicago: Abshoff, Sebastian, Andreas Cord-Landwehr, Matthias Fischer, Daniel Jung,
    and Friedhelm Meyer auf der Heide. “Gathering a Closed Chain of Robots on a Grid.”
    In <i>Proceedings of the 30th International Parallel and Distributed Processing
    Symposium (IPDPS)</i>, 689–99. IEEE, 2016. <a href="https://doi.org/10.1109/IPDPS.2016.51">https://doi.org/10.1109/IPDPS.2016.51</a>.
  ieee: S. Abshoff, A. Cord-Landwehr, M. Fischer, D. Jung, and F. Meyer auf der Heide,
    “Gathering a Closed Chain of Robots on a Grid,” in <i>Proceedings of the 30th
    International Parallel and Distributed Processing Symposium (IPDPS)</i>, 2016,
    pp. 689–699.
  mla: Abshoff, Sebastian, et al. “Gathering a Closed Chain of Robots on a Grid.”
    <i>Proceedings of the 30th International Parallel and Distributed Processing Symposium
    (IPDPS)</i>, IEEE, 2016, pp. 689–99, doi:<a href="https://doi.org/10.1109/IPDPS.2016.51">10.1109/IPDPS.2016.51</a>.
  short: 'S. Abshoff, A. Cord-Landwehr, M. Fischer, D. Jung, F. Meyer auf der Heide,
    in: Proceedings of the 30th International Parallel and Distributed Processing
    Symposium (IPDPS), IEEE, 2016, pp. 689–699.'
date_created: 2020-04-01T12:56:43Z
date_updated: 2022-01-06T06:52:49Z
department:
- _id: '63'
doi: 10.1109/IPDPS.2016.51
language:
- iso: eng
page: 689-699
publication: Proceedings of the 30th International Parallel and Distributed Processing
  Symposium (IPDPS)
publisher: IEEE
status: public
title: Gathering a Closed Chain of Robots on a Grid
type: conference
user_id: '15415'
year: '2016'
...
---
_id: '16364'
author:
- first_name: Alexander
  full_name: Macker, Alexander
  last_name: Macker
- first_name: Manuel
  full_name: Malatyali, Manuel
  last_name: Malatyali
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Macker A, Malatyali M, Meyer auf der Heide F. On Competitive Algorithms for
    Approximations of Top-k-Position Monitoring of Distributed Streams. In: <i>2016
    IEEE International Parallel and Distributed Processing Symposium (IPDPS)</i>.
    ; 2016. doi:<a href="https://doi.org/10.1109/ipdps.2016.91">10.1109/ipdps.2016.91</a>'
  apa: Macker, A., Malatyali, M., &#38; Meyer auf der Heide, F. (2016). On Competitive
    Algorithms for Approximations of Top-k-Position Monitoring of Distributed Streams.
    In <i>2016 IEEE International Parallel and Distributed Processing Symposium (IPDPS)</i>.
    <a href="https://doi.org/10.1109/ipdps.2016.91">https://doi.org/10.1109/ipdps.2016.91</a>
  bibtex: '@inproceedings{Macker_Malatyali_Meyer auf der Heide_2016, title={On Competitive
    Algorithms for Approximations of Top-k-Position Monitoring of Distributed Streams},
    DOI={<a href="https://doi.org/10.1109/ipdps.2016.91">10.1109/ipdps.2016.91</a>},
    booktitle={2016 IEEE International Parallel and Distributed Processing Symposium
    (IPDPS)}, author={Macker, Alexander and Malatyali, Manuel and Meyer auf der Heide,
    Friedhelm}, year={2016} }'
  chicago: Macker, Alexander, Manuel Malatyali, and Friedhelm Meyer auf der Heide.
    “On Competitive Algorithms for Approximations of Top-k-Position Monitoring of
    Distributed Streams.” In <i>2016 IEEE International Parallel and Distributed Processing
    Symposium (IPDPS)</i>, 2016. <a href="https://doi.org/10.1109/ipdps.2016.91">https://doi.org/10.1109/ipdps.2016.91</a>.
  ieee: A. Macker, M. Malatyali, and F. Meyer auf der Heide, “On Competitive Algorithms
    for Approximations of Top-k-Position Monitoring of Distributed Streams,” in <i>2016
    IEEE International Parallel and Distributed Processing Symposium (IPDPS)</i>,
    2016.
  mla: Macker, Alexander, et al. “On Competitive Algorithms for Approximations of
    Top-k-Position Monitoring of Distributed Streams.” <i>2016 IEEE International
    Parallel and Distributed Processing Symposium (IPDPS)</i>, 2016, doi:<a href="https://doi.org/10.1109/ipdps.2016.91">10.1109/ipdps.2016.91</a>.
  short: 'A. Macker, M. Malatyali, F. Meyer auf der Heide, in: 2016 IEEE International
    Parallel and Distributed Processing Symposium (IPDPS), 2016.'
date_created: 2020-04-02T10:14:25Z
date_updated: 2022-01-06T06:52:49Z
department:
- _id: '63'
doi: 10.1109/ipdps.2016.91
language:
- iso: eng
publication: 2016 IEEE International Parallel and Distributed Processing Symposium
  (IPDPS)
publication_identifier:
  isbn:
  - '9781509021406'
publication_status: published
status: public
title: On Competitive Algorithms for Approximations of Top-k-Position Monitoring of
  Distributed Streams
type: conference
user_id: '15415'
year: '2016'
...
---
_id: '16396'
abstract:
- lang: eng
  text: "We consider a scheduling problem where machines need to be rented from the\r\ncloud
    in order to process jobs. There are two types of machines available which\r\ncan
    be rented for machine-type dependent prices and for arbitrary durations.\r\nHowever,
    a machine-type dependent setup time is required before a machine is\r\navailable
    for processing. Jobs arrive online over time, have machine-type\r\ndependent sizes
    and have individual deadlines. The objective is to rent\r\nmachines and schedule
    jobs so as to meet all deadlines while minimizing the\r\nrental cost.\r\n  Since
    we observe the slack of jobs to have a fundamental influence on the\r\ncompetitiveness,
    we study the model when instances are parameterized by their\r\n(minimum) slack.
    An instance is called to have a slack of $\\beta$ if, for all\r\njobs, the difference
    between the job's release time and the latest point in\r\ntime at which it needs
    to be started is at least $\\beta$. While for $\\beta < s$\r\nno finite competitiveness
    is possible, our main result is an\r\n$O(\\frac{c}{\\varepsilon} + \\frac{1}{\\varepsilon^3})$-competitive
    online\r\nalgorithm for $\\beta = (1+\\varepsilon)s$ with $\\frac{1}{s} \\leq
    \\varepsilon\r\n\\leq 1$, where $s$ and $c$ denotes the largest setup time and
    the cost ratio of\r\nthe machine-types, respectively. It is complemented by a
    lower bound of\r\n$\\Omega(\\frac{c}{\\varepsilon})$."
author:
- first_name: Alexander
  full_name: Mäcker, Alexander
  id: '13536'
  last_name: Mäcker
- first_name: Manuel
  full_name: Malatyali, Manuel
  last_name: Malatyali
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Sören
  full_name: Riechers, Sören
  last_name: Riechers
citation:
  ama: Mäcker A, Malatyali M, Meyer auf der Heide F, Riechers S. Cost-efficient Scheduling
    on Machines from the Cloud. <i>arXiv:160901184</i>. 2016.
  apa: Mäcker, A., Malatyali, M., Meyer auf der Heide, F., &#38; Riechers, S. (2016).
    Cost-efficient Scheduling on Machines from the Cloud. <i>ArXiv:1609.01184</i>.
  bibtex: '@article{Mäcker_Malatyali_Meyer auf der Heide_Riechers_2016, title={Cost-efficient
    Scheduling on Machines from the Cloud}, journal={arXiv:1609.01184}, author={Mäcker,
    Alexander and Malatyali, Manuel and Meyer auf der Heide, Friedhelm and Riechers,
    Sören}, year={2016} }'
  chicago: Mäcker, Alexander, Manuel Malatyali, Friedhelm Meyer auf der Heide, and
    Sören Riechers. “Cost-Efficient Scheduling on Machines from the Cloud.” <i>ArXiv:1609.01184</i>,
    2016.
  ieee: A. Mäcker, M. Malatyali, F. Meyer auf der Heide, and S. Riechers, “Cost-efficient
    Scheduling on Machines from the Cloud,” <i>arXiv:1609.01184</i>. 2016.
  mla: Mäcker, Alexander, et al. “Cost-Efficient Scheduling on Machines from the Cloud.”
    <i>ArXiv:1609.01184</i>, 2016.
  short: A. Mäcker, M. Malatyali, F. Meyer auf der Heide, S. Riechers, ArXiv:1609.01184
    (2016).
date_created: 2020-04-03T09:24:28Z
date_updated: 2022-01-06T06:52:50Z
department:
- _id: '63'
external_id:
  arxiv:
  - '1609.01184'
language:
- iso: eng
publication: arXiv:1609.01184
status: public
title: Cost-efficient Scheduling on Machines from the Cloud
type: preprint
user_id: '15415'
year: '2016'
...
---
_id: '139'
abstract:
- lang: eng
  text: 'We consider online optimization problems in which certain goods have to be
    acquired in order to provide a service or infrastructure. Classically, decisions
    for such problems are considered as final: one buys the goods. However, in many
    real world applications, there is a shift away from the idea of buying goods.
    Instead, leasing is often a more flexible and lucrative business model. Research
    has realized this shift and recently initiated the theoretical study of leasing
    models (Anthony and Gupta in Proceedings of the integer programming and combinatorial
    optimization: 12th International IPCO Conference, Ithaca, NY, USA, June 25–27,
    2007; Meyerson in Proceedings of the 46th Annual IEEE Symposium on Foundations
    of Computer Science (FOCS 2005), 23–25 Oct 2005, Pittsburgh, PA, USA, 2005; Nagarajan
    and Williamson in Discret Optim 10(4):361–370, 2013) We extend this line of work
    and suggest a more systematic study of leasing aspects for a class of online optimization
    problems. We provide two major technical results. We introduce the leasing variant
    of online set multicover and give an O(log(mK)logn)-competitive algorithm (with
    n, m, and K being the number of elements, sets, and leases, respectively). Our
    results also imply improvements for the non-leasing variant of online set cover.
    Moreover, we extend results for the leasing variant of online facility location.
    Nagarajan and Williamson (Discret Optim 10(4):361–370, 2013) gave an O(Klogn)-competitive
    algorithm for this problem (with n and K being the number of clients and leases,
    respectively). We remove the dependency on n (and, thereby, on time). In general,
    this leads to a bound of O(lmaxloglmax) (with the maximal lease length lmax).
    For many natural problem instances, the bound improves to O(K2).'
author:
- first_name: Sebastian
  full_name: Abshoff, Sebastian
  last_name: Abshoff
- first_name: Peter
  full_name: Kling, Peter
  last_name: Kling
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: 'Peter '
  full_name: 'Pietrzyk, Peter '
  last_name: Pietrzyk
citation:
  ama: Abshoff S, Kling P, Markarian C, Meyer auf der Heide F, Pietrzyk P. Towards
    the price of leasing online. <i>Journal of Combinatorial Optimization</i>. 2016;(4):1197--1216.
    doi:<a href="https://doi.org/10.1007/s10878-015-9915-5">10.1007/s10878-015-9915-5</a>
  apa: Abshoff, S., Kling, P., Markarian, C., Meyer auf der Heide, F., &#38; Pietrzyk,
    P. (2016). Towards the price of leasing online. <i>Journal of Combinatorial Optimization</i>,
    (4), 1197--1216. <a href="https://doi.org/10.1007/s10878-015-9915-5">https://doi.org/10.1007/s10878-015-9915-5</a>
  bibtex: '@article{Abshoff_Kling_Markarian_Meyer auf der Heide_Pietrzyk_2016, title={Towards
    the price of leasing online}, DOI={<a href="https://doi.org/10.1007/s10878-015-9915-5">10.1007/s10878-015-9915-5</a>},
    number={4}, journal={Journal of Combinatorial Optimization}, publisher={Springer},
    author={Abshoff, Sebastian and Kling, Peter and Markarian, Christine and Meyer
    auf der Heide, Friedhelm and Pietrzyk, Peter }, year={2016}, pages={1197--1216}
    }'
  chicago: 'Abshoff, Sebastian, Peter Kling, Christine Markarian, Friedhelm Meyer
    auf der Heide, and Peter  Pietrzyk. “Towards the Price of Leasing Online.” <i>Journal
    of Combinatorial Optimization</i>, no. 4 (2016): 1197--1216. <a href="https://doi.org/10.1007/s10878-015-9915-5">https://doi.org/10.1007/s10878-015-9915-5</a>.'
  ieee: S. Abshoff, P. Kling, C. Markarian, F. Meyer auf der Heide, and P. Pietrzyk,
    “Towards the price of leasing online,” <i>Journal of Combinatorial Optimization</i>,
    no. 4, pp. 1197--1216, 2016.
  mla: Abshoff, Sebastian, et al. “Towards the Price of Leasing Online.” <i>Journal
    of Combinatorial Optimization</i>, no. 4, Springer, 2016, pp. 1197--1216, doi:<a
    href="https://doi.org/10.1007/s10878-015-9915-5">10.1007/s10878-015-9915-5</a>.
  short: S. Abshoff, P. Kling, C. Markarian, F. Meyer auf der Heide, P. Pietrzyk,
    Journal of Combinatorial Optimization (2016) 1197--1216.
date_created: 2017-10-17T12:41:18Z
date_updated: 2022-01-06T06:51:46Z
ddc:
- '000'
department:
- _id: '63'
doi: 10.1007/s10878-015-9915-5
file:
- access_level: closed
  content_type: application/pdf
  creator: ups
  date_created: 2018-11-02T15:57:25Z
  date_updated: 2018-11-02T15:57:25Z
  file_id: '5318'
  file_name: Abshoff-TowardsThePriceOfLeasingOnline.pdf
  file_size: 654903
  relation: main_file
  success: 1
file_date_updated: 2018-11-02T15:57:25Z
has_accepted_license: '1'
issue: '4'
language:
- iso: eng
page: ' 1197--1216'
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '16'
  name: SFB 901 - Subprojekt C4
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '4'
  name: SFB 901 - Project Area C
publication: Journal of Combinatorial Optimization
publisher: Springer
status: public
title: Towards the price of leasing online
type: journal_article
user_id: '477'
year: '2016'
...
---
_id: '143'
abstract:
- lang: eng
  text: 'We present an efficient parallel algorithm for the general Monotone Circuit
    Value Problem (MCVP) with n gates and an underlying graph of bounded genus k.
    Our algorithm generalizes a recent result by Limaye et al. who showed that MCVP
    with toroidal embedding (genus 1) is in NC when the input contains a toroidal
    embedding of the circuit. In addition to extending this result from genus 1 to
    any bounded genus k, and unlike the work reported by Limaye et al., we do not
    require a precomputed embedding to be given. Most importantly, our results imply
    that given a P-complete problem, it is possible to find an algorithm that makes
    the problem fall into NC by fixing one or more parameters. Hence, we deduce the
    interesting analogy: Fixed Parameter Parallelizable (FPP) is with respect to P-complete
    what Fixed Parameter Tractable (FPT) is with respect to NP-complete. Similar work
    that uses treewidth as parameter was also presented by Elberfeld et al. in [6].'
author:
- first_name: 'Faisal N. '
  full_name: 'Abu-Khzam, Faisal N. '
  last_name: Abu-Khzam
- first_name: Shouwei
  full_name: Li, Shouwei
  last_name: Li
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Pavel
  full_name: Podlipyan, Pavel
  last_name: Podlipyan
citation:
  ama: 'Abu-Khzam FN, Li S, Markarian C, Meyer auf der Heide F, Podlipyan P. The Monotone
    Circuit Value Problem with Bounded Genus Is in NC. In: <i>Proceedings of the 22nd
    International Conference on Computing and Combinatorics (COCOON)</i>. LNCS. ;
    2016:92-102. doi:<a href="https://doi.org/10.1007/978-3-319-42634-1_8">10.1007/978-3-319-42634-1_8</a>'
  apa: Abu-Khzam, F. N., Li, S., Markarian, C., Meyer auf der Heide, F., &#38; Podlipyan,
    P. (2016). The Monotone Circuit Value Problem with Bounded Genus Is in NC. In
    <i>Proceedings of the 22nd International Conference on Computing and Combinatorics
    (COCOON)</i> (pp. 92–102). <a href="https://doi.org/10.1007/978-3-319-42634-1_8">https://doi.org/10.1007/978-3-319-42634-1_8</a>
  bibtex: '@inproceedings{Abu-Khzam_Li_Markarian_Meyer auf der Heide_Podlipyan_2016,
    series={LNCS}, title={The Monotone Circuit Value Problem with Bounded Genus Is
    in NC}, DOI={<a href="https://doi.org/10.1007/978-3-319-42634-1_8">10.1007/978-3-319-42634-1_8</a>},
    booktitle={Proceedings of the 22nd International Conference on Computing and Combinatorics
    (COCOON)}, author={Abu-Khzam, Faisal N.  and Li, Shouwei and Markarian, Christine
    and Meyer auf der Heide, Friedhelm and Podlipyan, Pavel}, year={2016}, pages={92–102},
    collection={LNCS} }'
  chicago: Abu-Khzam, Faisal N. , Shouwei Li, Christine Markarian, Friedhelm Meyer
    auf der Heide, and Pavel Podlipyan. “The Monotone Circuit Value Problem with Bounded
    Genus Is in NC.” In <i>Proceedings of the 22nd International Conference on Computing
    and Combinatorics (COCOON)</i>, 92–102. LNCS, 2016. <a href="https://doi.org/10.1007/978-3-319-42634-1_8">https://doi.org/10.1007/978-3-319-42634-1_8</a>.
  ieee: F. N. Abu-Khzam, S. Li, C. Markarian, F. Meyer auf der Heide, and P. Podlipyan,
    “The Monotone Circuit Value Problem with Bounded Genus Is in NC,” in <i>Proceedings
    of the 22nd International Conference on Computing and Combinatorics (COCOON)</i>,
    2016, pp. 92–102.
  mla: Abu-Khzam, Faisal N., et al. “The Monotone Circuit Value Problem with Bounded
    Genus Is in NC.” <i>Proceedings of the 22nd International Conference on Computing
    and Combinatorics (COCOON)</i>, 2016, pp. 92–102, doi:<a href="https://doi.org/10.1007/978-3-319-42634-1_8">10.1007/978-3-319-42634-1_8</a>.
  short: 'F.N. Abu-Khzam, S. Li, C. Markarian, F. Meyer auf der Heide, P. Podlipyan,
    in: Proceedings of the 22nd International Conference on Computing and Combinatorics
    (COCOON), 2016, pp. 92–102.'
date_created: 2017-10-17T12:41:19Z
date_updated: 2022-01-06T06:51:57Z
ddc:
- '000'
department:
- _id: '63'
doi: 10.1007/978-3-319-42634-1_8
file:
- access_level: closed
  content_type: application/pdf
  creator: ups
  date_created: 2018-11-02T14:20:45Z
  date_updated: 2018-11-02T14:20:45Z
  file_id: '5269'
  file_name: TheMonotoneCircuitValueProblem.pdf
  file_size: 234587
  relation: main_file
  success: 1
file_date_updated: 2018-11-02T14:20:45Z
has_accepted_license: '1'
language:
- iso: eng
page: 92-102
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '2'
  name: SFB 901 - Project Area A
publication: Proceedings of the 22nd International Conference on Computing and Combinatorics
  (COCOON)
series_title: LNCS
status: public
title: The Monotone Circuit Value Problem with Bounded Genus Is in NC
type: conference
user_id: '477'
year: '2016'
...
---
_id: '28325'
citation:
  ama: 'Gausemeier J, Grafe M, Meyer auf der Heide F, eds. <i>Augmented &#38; Virtual
    Reality in der Produktentstehung: Grundlagen, Methoden und Werkzeuge; Interaktions-
    und Visualisierungstechniken, Virtual Prototyping intelligenter technischer Systeme
    mit AR/VR</i>. Vol Band 342. Verlagsschriftenreihe des Heinz Nixdorf Instituts;
    , 12. Paderborner Workshop Augmented &#38; Virtual Reality in der Produktentstehung;
    2015.'
  apa: 'Gausemeier, J., Grafe, M., &#38; Meyer auf der Heide, F. (Eds.). (2015). <i>Augmented
    &#38; Virtual Reality in der Produktentstehung: Grundlagen, Methoden und Werkzeuge;
    Interaktions- und Visualisierungstechniken, Virtual Prototyping intelligenter
    technischer Systeme mit AR/VR: Vol. Band 342</i>. Verlagsschriftenreihe des Heinz
    Nixdorf Instituts; , 12. Paderborner Workshop Augmented &#38; Virtual Reality
    in der Produktentstehung.'
  bibtex: '@book{Gausemeier_Grafe_Meyer auf der Heide_2015, place={Paderborn}, series={Band
    342 }, title={Augmented &#38; Virtual Reality in der Produktentstehung: Grundlagen,
    Methoden und Werkzeuge; Interaktions- und Visualisierungstechniken, Virtual Prototyping
    intelligenter technischer Systeme mit AR/VR}, volume={Band 342}, publisher={Verlagsschriftenreihe
    des Heinz Nixdorf Instituts; , 12. Paderborner Workshop Augmented &#38; Virtual
    Reality in der Produktentstehung}, year={2015}, collection={Band 342 } }'
  chicago: 'Gausemeier, Jürgen, Michael Grafe, and Friedhelm Meyer auf der Heide,
    eds. <i>Augmented &#38; Virtual Reality in der Produktentstehung: Grundlagen,
    Methoden und Werkzeuge; Interaktions- und Visualisierungstechniken, Virtual Prototyping
    intelligenter technischer Systeme mit AR/VR</i>. Vol. Band 342. Band 342 . Paderborn:
    Verlagsschriftenreihe des Heinz Nixdorf Instituts; , 12. Paderborner Workshop
    Augmented &#38; Virtual Reality in der Produktentstehung, 2015.'
  ieee: 'J. Gausemeier, M. Grafe, and F. Meyer auf der Heide, Eds., <i>Augmented &#38;
    Virtual Reality in der Produktentstehung: Grundlagen, Methoden und Werkzeuge;
    Interaktions- und Visualisierungstechniken, Virtual Prototyping intelligenter
    technischer Systeme mit AR/VR</i>, vol. Band 342. Paderborn: Verlagsschriftenreihe
    des Heinz Nixdorf Instituts; , 12. Paderborner Workshop Augmented &#38; Virtual
    Reality in der Produktentstehung, 2015.'
  mla: 'Gausemeier, Jürgen, et al., editors. <i>Augmented &#38; Virtual Reality in
    der Produktentstehung: Grundlagen, Methoden und Werkzeuge; Interaktions- und Visualisierungstechniken,
    Virtual Prototyping intelligenter technischer Systeme mit AR/VR</i>. Verlagsschriftenreihe
    des Heinz Nixdorf Instituts; , 12. Paderborner Workshop Augmented &#38; Virtual
    Reality in der Produktentstehung, 2015.'
  short: 'J. Gausemeier, M. Grafe, F. Meyer auf der Heide, eds., Augmented &#38; Virtual
    Reality in der Produktentstehung: Grundlagen, Methoden und Werkzeuge; Interaktions-
    und Visualisierungstechniken, Virtual Prototyping intelligenter technischer Systeme
    mit AR/VR, Verlagsschriftenreihe des Heinz Nixdorf Instituts; , 12. Paderborner
    Workshop Augmented &#38; Virtual Reality in der Produktentstehung, Paderborn,
    2015.'
date_created: 2021-12-06T10:37:33Z
date_updated: 2022-01-06T06:58:01Z
department:
- _id: '676'
editor:
- first_name: Jürgen
  full_name: Gausemeier, Jürgen
  last_name: Gausemeier
- first_name: Michael
  full_name: Grafe, Michael
  last_name: Grafe
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
language:
- iso: ger
place: Paderborn
publisher: Verlagsschriftenreihe des Heinz Nixdorf Instituts; , 12. Paderborner Workshop
  Augmented & Virtual Reality in der Produktentstehung
series_title: 'Band 342 '
status: public
title: 'Augmented & Virtual Reality in der Produktentstehung: Grundlagen, Methoden
  und Werkzeuge; Interaktions- und Visualisierungstechniken, Virtual Prototyping intelligenter
  technischer Systeme mit AR/VR'
type: book_editor
user_id: '21240'
volume: 'Band 342 '
year: '2015'
...
---
_id: '26229'
author:
- first_name: Jürgen
  full_name: Gausemeier, Jürgen
  last_name: Gausemeier
- first_name: Michael
  full_name: Grafe, Michael
  last_name: Grafe
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Gausemeier J, Grafe M, Meyer auf der Heide F. <i>Augmented &#38; Virtual Reality
    in der Produktentstehung: Grundlagen, Methoden und Werkzeuge; Interaktions- und
    Visualisierungstechniken, Virtual Prototyping intelligenter technischer Systeme
    mit AR/VR </i>. Vol 342. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn;
    2015.'
  apa: 'Gausemeier, J., Grafe, M., &#38; Meyer auf der Heide, F. (2015). <i>Augmented
    &#38; Virtual Reality in der Produktentstehung: Grundlagen, Methoden und Werkzeuge;
    Interaktions- und Visualisierungstechniken, Virtual Prototyping intelligenter
    technischer Systeme mit AR/VR </i> (Vol. 342). Verlagsschriftenreihe des Heinz
    Nixdorf Instituts, Paderborn.'
  bibtex: '@book{Gausemeier_Grafe_Meyer auf der Heide_2015, series={Verlagsschriftenreihe
    des Heinz Nixdorf Instituts, Paderborn}, title={Augmented &#38; Virtual Reality
    in der Produktentstehung: Grundlagen, Methoden und Werkzeuge; Interaktions- und
    Visualisierungstechniken, Virtual Prototyping intelligenter technischer Systeme
    mit AR/VR }, volume={342}, publisher={Verlagsschriftenreihe des Heinz Nixdorf
    Instituts, Paderborn}, author={Gausemeier, Jürgen and Grafe, Michael and Meyer
    auf der Heide, Friedhelm}, year={2015}, collection={Verlagsschriftenreihe des
    Heinz Nixdorf Instituts, Paderborn} }'
  chicago: 'Gausemeier, Jürgen, Michael Grafe, and Friedhelm Meyer auf der Heide.
    <i>Augmented &#38; Virtual Reality in der Produktentstehung: Grundlagen, Methoden
    und Werkzeuge; Interaktions- und Visualisierungstechniken, Virtual Prototyping
    intelligenter technischer Systeme mit AR/VR </i>. Vol. 342. Verlagsschriftenreihe
    des Heinz Nixdorf Instituts, Paderborn. Verlagsschriftenreihe des Heinz Nixdorf
    Instituts, Paderborn, 2015.'
  ieee: 'J. Gausemeier, M. Grafe, and F. Meyer auf der Heide, <i>Augmented &#38; Virtual
    Reality in der Produktentstehung: Grundlagen, Methoden und Werkzeuge; Interaktions-
    und Visualisierungstechniken, Virtual Prototyping intelligenter technischer Systeme
    mit AR/VR </i>, vol. 342. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn,
    2015.'
  mla: 'Gausemeier, Jürgen, et al. <i>Augmented &#38; Virtual Reality in der Produktentstehung:
    Grundlagen, Methoden und Werkzeuge; Interaktions- und Visualisierungstechniken,
    Virtual Prototyping intelligenter technischer Systeme mit AR/VR </i>. Verlagsschriftenreihe
    des Heinz Nixdorf Instituts, Paderborn, 2015.'
  short: 'J. Gausemeier, M. Grafe, F. Meyer auf der Heide, Augmented &#38; Virtual
    Reality in der Produktentstehung: Grundlagen, Methoden und Werkzeuge; Interaktions-
    und Visualisierungstechniken, Virtual Prototyping intelligenter technischer Systeme
    mit AR/VR , Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2015.'
date_created: 2021-10-15T09:28:48Z
date_updated: 2022-01-06T06:57:18Z
department:
- _id: '26'
intvolume: '       342'
language:
- iso: ger
publisher: Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn
series_title: Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn
status: public
title: 'Augmented & Virtual Reality in der Produktentstehung: Grundlagen, Methoden
  und Werkzeuge; Interaktions- und Visualisierungstechniken, Virtual Prototyping intelligenter
  technischer Systeme mit AR/VR '
type: book
user_id: '60046'
volume: 342
year: '2015'
...
---
_id: '266'
abstract:
- lang: eng
  text: 'Many markets have seen a shift from the idea of buying and moved to leasing
    instead. Arguably, the latter has been the major catalyst for their success. Ten
    years ago, research realized this shift and initiated the study of "online leasing
    problems" by introducing leasing to online optimization problems. Resources required
    to provide a service in an "online leasing problem" are no more bought but leased
    for different durations. In this paper, we provide an overview of results that
    contribute to the understanding of "online resource leasing problems". '
author:
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Markarian C, Meyer auf der Heide F. Online Resource Leasing. In: <i>Proceedings
    of the 2015 ACM Symposium on Principles of Distributed Computing (PODC)</i>. ;
    2015:343-344. doi:<a href="https://doi.org/10.1145/2767386.2767454">10.1145/2767386.2767454</a>'
  apa: Markarian, C., &#38; Meyer auf der Heide, F. (2015). Online Resource Leasing.
    In <i>Proceedings of the 2015 ACM Symposium on Principles of Distributed Computing
    (PODC)</i> (pp. 343–344). <a href="https://doi.org/10.1145/2767386.2767454">https://doi.org/10.1145/2767386.2767454</a>
  bibtex: '@inproceedings{Markarian_Meyer auf der Heide_2015, title={Online Resource
    Leasing}, DOI={<a href="https://doi.org/10.1145/2767386.2767454">10.1145/2767386.2767454</a>},
    booktitle={Proceedings of the 2015 ACM Symposium on Principles of Distributed
    Computing (PODC)}, author={Markarian, Christine and Meyer auf der Heide, Friedhelm},
    year={2015}, pages={343–344} }'
  chicago: Markarian, Christine, and Friedhelm Meyer auf der Heide. “Online Resource
    Leasing.” In <i>Proceedings of the 2015 ACM Symposium on Principles of Distributed
    Computing (PODC)</i>, 343–44, 2015. <a href="https://doi.org/10.1145/2767386.2767454">https://doi.org/10.1145/2767386.2767454</a>.
  ieee: C. Markarian and F. Meyer auf der Heide, “Online Resource Leasing,” in <i>Proceedings
    of the 2015 ACM Symposium on Principles of Distributed Computing (PODC)</i>, 2015,
    pp. 343–344.
  mla: Markarian, Christine, and Friedhelm Meyer auf der Heide. “Online Resource Leasing.”
    <i>Proceedings of the 2015 ACM Symposium on Principles of Distributed Computing
    (PODC)</i>, 2015, pp. 343–44, doi:<a href="https://doi.org/10.1145/2767386.2767454">10.1145/2767386.2767454</a>.
  short: 'C. Markarian, F. Meyer auf der Heide, in: Proceedings of the 2015 ACM Symposium
    on Principles of Distributed Computing (PODC), 2015, pp. 343–344.'
date_created: 2017-10-17T12:41:44Z
date_updated: 2022-01-06T06:57:22Z
ddc:
- '040'
department:
- _id: '63'
doi: 10.1145/2767386.2767454
file:
- access_level: closed
  content_type: application/pdf
  creator: florida
  date_created: 2018-03-21T09:33:11Z
  date_updated: 2018-03-21T09:33:11Z
  file_id: '1478'
  file_name: 266-p343-markarian.pdf
  file_size: 679580
  relation: main_file
  success: 1
file_date_updated: 2018-03-21T09:33:11Z
has_accepted_license: '1'
page: 343-344
project:
- _id: '1'
  name: SFB 901
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '16'
  name: SFB 901 - Subprojekt C4
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '4'
  name: SFB 901 - Project Area C
publication: Proceedings of the 2015 ACM Symposium on Principles of Distributed Computing
  (PODC)
status: public
title: Online Resource Leasing
type: conference
user_id: '15504'
year: '2015'
...
---
_id: '274'
abstract:
- lang: eng
  text: Consider the problem in which n jobs that are classified into k types are
    to be scheduled on m identical machines without preemption. A machine requires
    a proper setup taking s time units before processing jobs of a given type. The
    objective is to minimize the makespan of the resulting schedule. We design and
    analyze an approximation algorithm that runs in time polynomial in n,m and k and
    computes a solution with an approximation factor that can be made arbitrarily
    close to 3/2.
author:
- first_name: Alexander
  full_name: Mäcker, Alexander
  id: '13536'
  last_name: Mäcker
- first_name: Manuel
  full_name: Malatyali, Manuel
  last_name: Malatyali
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Sören
  full_name: Riechers, Sören
  last_name: Riechers
citation:
  ama: 'Mäcker A, Malatyali M, Meyer auf der Heide F, Riechers S. Non-preemptive Scheduling
    on Machines with Setup Times. In: Dehne F, Sack JR, Stege U, eds. <i>Algorithms
    and Data Structures: 14th International Symposium, WADS 2015, Victoria, BC, Canada,
    August 5-7, 2015. Proceedings</i>. Lecture Notes in Computer Science. ; 2015:542--553.
    doi:<a href="https://doi.org/10.1007/978-3-319-21840-3_45">10.1007/978-3-319-21840-3_45</a>'
  apa: 'Mäcker, A., Malatyali, M., Meyer auf der Heide, F., &#38; Riechers, S. (2015).
    Non-preemptive Scheduling on Machines with Setup Times. In F. Dehne, J. R. Sack,
    &#38; U. Stege (Eds.), <i>Algorithms and Data Structures: 14th International Symposium,
    WADS 2015, Victoria, BC, Canada, August 5-7, 2015. Proceedings</i> (pp. 542--553).
    <a href="https://doi.org/10.1007/978-3-319-21840-3_45">https://doi.org/10.1007/978-3-319-21840-3_45</a>'
  bibtex: '@inproceedings{Mäcker_Malatyali_Meyer auf der Heide_Riechers_2015, series={Lecture
    Notes in Computer Science}, title={Non-preemptive Scheduling on Machines with
    Setup Times}, DOI={<a href="https://doi.org/10.1007/978-3-319-21840-3_45">10.1007/978-3-319-21840-3_45</a>},
    booktitle={Algorithms and Data Structures: 14th International Symposium, WADS
    2015, Victoria, BC, Canada, August 5-7, 2015. Proceedings}, author={Mäcker, Alexander
    and Malatyali, Manuel and Meyer auf der Heide, Friedhelm and Riechers, Sören},
    editor={Dehne, Frank and Sack, Jörg Rüdiger and Stege, UlrikeEditors}, year={2015},
    pages={542--553}, collection={Lecture Notes in Computer Science} }'
  chicago: 'Mäcker, Alexander, Manuel Malatyali, Friedhelm Meyer auf der Heide, and
    Sören Riechers. “Non-Preemptive Scheduling on Machines with Setup Times.” In <i>Algorithms
    and Data Structures: 14th International Symposium, WADS 2015, Victoria, BC, Canada,
    August 5-7, 2015. Proceedings</i>, edited by Frank Dehne, Jörg Rüdiger Sack, and
    Ulrike Stege, 542--553. Lecture Notes in Computer Science, 2015. <a href="https://doi.org/10.1007/978-3-319-21840-3_45">https://doi.org/10.1007/978-3-319-21840-3_45</a>.'
  ieee: 'A. Mäcker, M. Malatyali, F. Meyer auf der Heide, and S. Riechers, “Non-preemptive
    Scheduling on Machines with Setup Times,” in <i>Algorithms and Data Structures:
    14th International Symposium, WADS 2015, Victoria, BC, Canada, August 5-7, 2015.
    Proceedings</i>, 2015, pp. 542--553.'
  mla: 'Mäcker, Alexander, et al. “Non-Preemptive Scheduling on Machines with Setup
    Times.” <i>Algorithms and Data Structures: 14th International Symposium, WADS
    2015, Victoria, BC, Canada, August 5-7, 2015. Proceedings</i>, edited by Frank
    Dehne et al., 2015, pp. 542--553, doi:<a href="https://doi.org/10.1007/978-3-319-21840-3_45">10.1007/978-3-319-21840-3_45</a>.'
  short: 'A. Mäcker, M. Malatyali, F. Meyer auf der Heide, S. Riechers, in: F. Dehne,
    J.R. Sack, U. Stege (Eds.), Algorithms and Data Structures: 14th International
    Symposium, WADS 2015, Victoria, BC, Canada, August 5-7, 2015. Proceedings, 2015,
    pp. 542--553.'
date_created: 2017-10-17T12:41:45Z
date_updated: 2022-01-06T06:57:39Z
ddc:
- '040'
department:
- _id: '63'
doi: 10.1007/978-3-319-21840-3_45
editor:
- first_name: Frank
  full_name: Dehne, Frank
  last_name: Dehne
- first_name: Jörg Rüdiger
  full_name: Sack, Jörg Rüdiger
  last_name: Sack
- first_name: Ulrike
  full_name: Stege, Ulrike
  last_name: Stege
file:
- access_level: closed
  content_type: application/pdf
  creator: florida
  date_created: 2018-03-21T09:28:34Z
  date_updated: 2018-03-21T09:28:34Z
  file_id: '1473'
  file_name: 274-chp_3A10.1007_2F978-3-319-21840-3_45.pdf
  file_size: 215498
  relation: main_file
  success: 1
file_date_updated: 2018-03-21T09:28:34Z
has_accepted_license: '1'
page: 542--553
project:
- _id: '1'
  name: SFB 901
- _id: '16'
  name: SFB 901 - Subprojekt C4
- _id: '4'
  name: SFB 901 - Project Area C
publication: 'Algorithms and Data Structures: 14th International Symposium, WADS 2015,
  Victoria, BC, Canada, August 5-7, 2015. Proceedings'
series_title: Lecture Notes in Computer Science
status: public
title: Non-preemptive Scheduling on Machines with Setup Times
type: conference
user_id: '15504'
year: '2015'
...
---
_id: '17431'
citation:
  ama: 'Gausemeier J, Grafe M, Meyer auf der Heide F, eds. <i>Augmented &#38; Virtual
    Reality in Der Produktentstehung: Grundlagen, Methoden Und Werkzeuge; Interaktions-
    Und Visualisierungstechniken, Virtual Prototyping Intelligenter Technischer Systeme
    Mit AR/VR</i>. Vol 342. 12. Paderborner Workshop Augmented &#38; Virtual Reality
    in der Produktentstehung. Verlagsschriftenreihe des Heinz Nixdorf Instituts; 2015.'
  apa: 'Gausemeier, J., Grafe, M., &#38; Meyer auf der Heide, F. (Eds.). (2015). <i>Augmented
    &#38; Virtual Reality in der Produktentstehung: Grundlagen, Methoden und Werkzeuge;
    Interaktions- und Visualisierungstechniken, Virtual Prototyping intelligenter
    technischer Systeme mit AR/VR</i> (12. Paderborner Workshop Augmented &#38; Virtual
    Reality in der Produktentstehung, Vol. 342). Verlagsschriftenreihe des Heinz Nixdorf
    Instituts.'
  bibtex: '@book{Gausemeier_Grafe_Meyer auf der Heide_2015, place={Paderborn}, edition={12.
    Paderborner Workshop Augmented &#38; Virtual Reality in der Produktentstehung},
    title={Augmented &#38; Virtual Reality in der Produktentstehung: Grundlagen, Methoden
    und Werkzeuge; Interaktions- und Visualisierungstechniken, Virtual Prototyping
    intelligenter technischer Systeme mit AR/VR}, volume={342}, publisher={Verlagsschriftenreihe
    des Heinz Nixdorf Instituts}, year={2015} }'
  chicago: 'Gausemeier, Jürgen, Michael Grafe, and Friedhelm Meyer auf der Heide,
    eds. <i>Augmented &#38; Virtual Reality in Der Produktentstehung: Grundlagen,
    Methoden Und Werkzeuge; Interaktions- Und Visualisierungstechniken, Virtual Prototyping
    Intelligenter Technischer Systeme Mit AR/VR</i>. 12. Paderborner Workshop Augmented
    &#38; Virtual Reality in der Produktentstehung. Vol. 342. Paderborn: Verlagsschriftenreihe
    des Heinz Nixdorf Instituts, 2015.'
  ieee: 'J. Gausemeier, M. Grafe, and F. Meyer auf der Heide, Eds., <i>Augmented &#38;
    Virtual Reality in der Produktentstehung: Grundlagen, Methoden und Werkzeuge;
    Interaktions- und Visualisierungstechniken, Virtual Prototyping intelligenter
    technischer Systeme mit AR/VR</i>, 12. Paderborner Workshop Augmented &#38; Virtual
    Reality in der Produktentstehung., vol. 342. Paderborn: Verlagsschriftenreihe
    des Heinz Nixdorf Instituts, 2015.'
  mla: 'Gausemeier, Jürgen, et al., editors. <i>Augmented &#38; Virtual Reality in
    Der Produktentstehung: Grundlagen, Methoden Und Werkzeuge; Interaktions- Und Visualisierungstechniken,
    Virtual Prototyping Intelligenter Technischer Systeme Mit AR/VR</i>. 12. Paderborner
    Workshop Augmented &#38; Virtual Reality in der Produktentstehung, vol. 342, Verlagsschriftenreihe
    des Heinz Nixdorf Instituts, 2015.'
  short: 'J. Gausemeier, M. Grafe, F. Meyer auf der Heide, eds., Augmented &#38; Virtual
    Reality in Der Produktentstehung: Grundlagen, Methoden Und Werkzeuge; Interaktions-
    Und Visualisierungstechniken, Virtual Prototyping Intelligenter Technischer Systeme
    Mit AR/VR, 12. Paderborner Workshop Augmented &#38; Virtual Reality in der Produktentstehung,
    Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2015.'
date_created: 2020-07-28T13:39:25Z
date_updated: 2022-01-06T06:53:12Z
department:
- _id: '63'
- _id: '26'
edition: 12. Paderborner Workshop Augmented & Virtual Reality in der Produktentstehung
editor:
- first_name: Jürgen
  full_name: Gausemeier, Jürgen
  last_name: Gausemeier
- first_name: Michael
  full_name: Grafe, Michael
  last_name: Grafe
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
intvolume: '       342'
language:
- iso: eng
place: Paderborn
publisher: Verlagsschriftenreihe des Heinz Nixdorf Instituts
status: public
title: 'Augmented & Virtual Reality in der Produktentstehung: Grundlagen, Methoden
  und Werkzeuge; Interaktions- und Visualisierungstechniken, Virtual Prototyping intelligenter
  technischer Systeme mit AR/VR'
type: book_editor
user_id: '15415'
volume: 342
year: '2015'
...
---
_id: '240'
abstract:
- lang: eng
  text: We consider online leasing problems in which demands arrive over time and
    need to be served by leasing resources. We introduce a new model for these problems
    such that a resource can be leased for K different durations each incurring a
    different cost (longer leases cost less per time unit). Each demand i can be served
    anytime between its arrival ai and its deadline ai+di by a leased resource. The
    objective is to meet all deadlines while minimizing the total leasing costs. This
    model is a natural generalization of Meyerson’s ParkingPermitProblem (FOCS 2005)
    in which di=0 for all i. We propose an online algorithm that is Θ(K+dmaxlmin)-competitive
    where dmax and lmin denote the largest di and the shortest available lease length,
    respectively. We also extend the SetCoverLeasing problem by deadlines and give
    a competitive online algorithm which also improves on existing solutions for the
    original SetCoverLeasing problem.
author:
- first_name: Shouwei
  full_name: Li, Shouwei
  last_name: Li
- first_name: Alexander
  full_name: Mäcker, Alexander
  id: '13536'
  last_name: Mäcker
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Sören
  full_name: Riechers, Sören
  last_name: Riechers
citation:
  ama: 'Li S, Mäcker A, Markarian C, Meyer auf der Heide F, Riechers S. Towards Flexible
    Demands in Online Leasing Problems. In: <i>Proceedings of the 21st Annual International
    Computing and Combinatorics Conference (COCOON)</i>. Lecture Notes in Computer
    Science. ; 2015:277--288. doi:<a href="https://doi.org/10.1007/978-3-319-21398-9_22">10.1007/978-3-319-21398-9_22</a>'
  apa: Li, S., Mäcker, A., Markarian, C., Meyer auf der Heide, F., &#38; Riechers,
    S. (2015). Towards Flexible Demands in Online Leasing Problems. In <i>Proceedings
    of the 21st Annual International Computing and Combinatorics Conference (COCOON)</i>
    (pp. 277--288). <a href="https://doi.org/10.1007/978-3-319-21398-9_22">https://doi.org/10.1007/978-3-319-21398-9_22</a>
  bibtex: '@inproceedings{Li_Mäcker_Markarian_Meyer auf der Heide_Riechers_2015, series={Lecture
    Notes in Computer Science}, title={Towards Flexible Demands in Online Leasing
    Problems}, DOI={<a href="https://doi.org/10.1007/978-3-319-21398-9_22">10.1007/978-3-319-21398-9_22</a>},
    booktitle={Proceedings of the 21st Annual International Computing and Combinatorics
    Conference (COCOON)}, author={Li, Shouwei and Mäcker, Alexander and Markarian,
    Christine and Meyer auf der Heide, Friedhelm and Riechers, Sören}, year={2015},
    pages={277--288}, collection={Lecture Notes in Computer Science} }'
  chicago: Li, Shouwei, Alexander Mäcker, Christine Markarian, Friedhelm Meyer auf
    der Heide, and Sören Riechers. “Towards Flexible Demands in Online Leasing Problems.”
    In <i>Proceedings of the 21st Annual International Computing and Combinatorics
    Conference (COCOON)</i>, 277--288. Lecture Notes in Computer Science, 2015. <a
    href="https://doi.org/10.1007/978-3-319-21398-9_22">https://doi.org/10.1007/978-3-319-21398-9_22</a>.
  ieee: S. Li, A. Mäcker, C. Markarian, F. Meyer auf der Heide, and S. Riechers, “Towards
    Flexible Demands in Online Leasing Problems,” in <i>Proceedings of the 21st Annual
    International Computing and Combinatorics Conference (COCOON)</i>, 2015, pp. 277--288.
  mla: Li, Shouwei, et al. “Towards Flexible Demands in Online Leasing Problems.”
    <i>Proceedings of the 21st Annual International Computing and Combinatorics Conference
    (COCOON)</i>, 2015, pp. 277--288, doi:<a href="https://doi.org/10.1007/978-3-319-21398-9_22">10.1007/978-3-319-21398-9_22</a>.
  short: 'S. Li, A. Mäcker, C. Markarian, F. Meyer auf der Heide, S. Riechers, in:
    Proceedings of the 21st Annual International Computing and Combinatorics Conference
    (COCOON), 2015, pp. 277--288.'
date_created: 2017-10-17T12:41:38Z
date_updated: 2022-01-06T06:56:05Z
ddc:
- '040'
department:
- _id: '63'
doi: 10.1007/978-3-319-21398-9_22
file:
- access_level: closed
  content_type: application/pdf
  creator: florida
  date_created: 2018-03-21T10:28:50Z
  date_updated: 2018-03-21T10:28:50Z
  file_id: '1498'
  file_name: 240-chp_3A10.1007_2F978-3-319-21398-9_22.pdf
  file_size: 264482
  relation: main_file
  success: 1
file_date_updated: 2018-03-21T10:28:50Z
has_accepted_license: '1'
page: 277--288
project:
- _id: '1'
  name: SFB 901
- _id: '16'
  name: SFB 901 - Subprojekt C4
- _id: '5'
  name: SFB 901 - Subprojekt A1
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '4'
  name: SFB 901 - Project Area C
publication: Proceedings of the 21st Annual International Computing and Combinatorics
  Conference (COCOON)
series_title: Lecture Notes in Computer Science
status: public
title: Towards Flexible Demands in Online Leasing Problems
type: conference
user_id: '15504'
year: '2015'
...
---
_id: '16449'
abstract:
- lang: eng
  text: "We consider the following variant of the two dimensional gathering problem\r\nfor
    swarms of robots: Given a swarm of $n$ indistinguishable, point shaped\r\nrobots
    on a two dimensional grid. Initially, the robots form a closed chain on\r\nthe
    grid and must keep this connectivity during the whole process of their\r\ngathering.
    Connectivity means, that neighboring robots of the chain need to be\r\npositioned
    at the same or neighboring points of the grid. In our model,\r\ngathering means
    to keep shortening the chain until the robots are located\r\ninside a $2\\times
    2$ subgrid. Our model is completely local (no global control,\r\nno global coordinates,
    no compass, no global communication or vision, \\ldots).\r\nEach robot can only
    see its next constant number of left and right neighbors on\r\nthe chain. This
    fixed constant is called the \\emph{viewing path length}. All\r\nits operations
    and detections are restricted to this constant number of robots.\r\nOther robots,
    even if located at neighboring or the same grid point cannot be\r\ndetected. Only
    based on the relative positions of its detectable chain\r\nneighbors, a robot
    can decide to obtain a certain state. Based on this state\r\nand their local knowledge,
    the robots do local modifications to the chain by\r\nmoving to neighboring grid
    points without breaking the chain. These\r\nmodifications are performed without
    the knowledge whether they lead to a global\r\nprogress or not. We assume the
    fully synchronous $\\mathcal{FSYNC}$ model. For\r\nthis problem, we present a
    gathering algorithm which needs linear time. This\r\nresult generalizes the result
    from \\cite{hopper}, where an open chain with\r\nspecified distinguishable (and
    fixed) endpoints is considered."
author:
- first_name: Sebastian
  full_name: Abshoff, Sebastian
  last_name: Abshoff
- first_name: 'Andreas '
  full_name: 'Cord-Landwehr, Andreas '
  last_name: Cord-Landwehr
- first_name: Matthias
  full_name: Fischer, Matthias
  id: '146'
  last_name: Fischer
- first_name: Daniel
  full_name: Jung, Daniel
  id: '37827'
  last_name: Jung
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: Abshoff S, Cord-Landwehr A, Fischer M, Jung D, Meyer auf der Heide F. Gathering
    a Closed Chain of Robots on a Grid. <i>arXiv:151005454</i>. 2015.
  apa: Abshoff, S., Cord-Landwehr, A., Fischer, M., Jung, D., &#38; Meyer auf der
    Heide, F. (2015). Gathering a Closed Chain of Robots on a Grid. <i>ArXiv:1510.05454</i>.
  bibtex: '@article{Abshoff_Cord-Landwehr_Fischer_Jung_Meyer auf der Heide_2015, title={Gathering
    a Closed Chain of Robots on a Grid}, journal={arXiv:1510.05454}, author={Abshoff,
    Sebastian and Cord-Landwehr, Andreas  and Fischer, Matthias and Jung, Daniel and
    Meyer auf der Heide, Friedhelm}, year={2015} }'
  chicago: Abshoff, Sebastian, Andreas  Cord-Landwehr, Matthias Fischer, Daniel Jung,
    and Friedhelm Meyer auf der Heide. “Gathering a Closed Chain of Robots on a Grid.”
    <i>ArXiv:1510.05454</i>, 2015.
  ieee: S. Abshoff, A. Cord-Landwehr, M. Fischer, D. Jung, and F. Meyer auf der Heide,
    “Gathering a Closed Chain of Robots on a Grid,” <i>arXiv:1510.05454</i>. 2015.
  mla: Abshoff, Sebastian, et al. “Gathering a Closed Chain of Robots on a Grid.”
    <i>ArXiv:1510.05454</i>, 2015.
  short: S. Abshoff, A. Cord-Landwehr, M. Fischer, D. Jung, F. Meyer auf der Heide,
    ArXiv:1510.05454 (2015).
date_created: 2020-04-07T07:20:46Z
date_updated: 2022-01-06T06:52:50Z
department:
- _id: '63'
external_id:
  arxiv:
  - '1510.05454'
language:
- iso: eng
publication: arXiv:1510.05454
status: public
title: Gathering a Closed Chain of Robots on a Grid
type: preprint
user_id: '15415'
year: '2015'
...
---
_id: '16452'
abstract:
- lang: eng
  text: "We consider the problem of dominating set-based virtual backbone used for\r\nrouting
    in asymmetric wireless ad-hoc networks. These networks have non-uniform\r\ntransmission
    ranges and are modeled using the well-established disk graphs. The\r\ncorresponding
    graph theoretic problem seeks a strongly connected\r\ndominating-absorbent set
    of minimum cardinality in a digraph. A subset of nodes\r\nin a digraph is a strongly
    connected dominating-absorbent set if the subgraph\r\ninduced by these nodes is
    strongly connected and each node in the graph is\r\neither in the set or has both
    an in-neighbor and an out-neighbor in it.\r\nDistributed algorithms for this problem
    are of practical significance due to\r\nthe dynamic nature of ad-hoc networks.
    We present a first distributed\r\napproximation algorithm, with a constant approximation
    factor and O(Diam)\r\nrunning time, where Diam is the diameter of the graph. Moreover
    we present a\r\nsimple heuristic algorithm and conduct an extensive simulation
    study showing\r\nthat our heuristic outperforms previously known approaches for
    the problem."
author:
- first_name: 'Faisal N. '
  full_name: 'Abu-Khzam, Faisal N. '
  last_name: Abu-Khzam
- first_name: Christine
  full_name: Markarian, Christine
  id: '37612'
  last_name: Markarian
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Michael
  full_name: Schubert, Michael
  last_name: Schubert
citation:
  ama: Abu-Khzam FN, Markarian C, Meyer auf der Heide F, Schubert M. Approximation
    and Heuristic Algorithms for Computing Backbones in  Asymmetric Ad-Hoc Networks.
    <i>arXiv:151001866</i>. 2015.
  apa: Abu-Khzam, F. N., Markarian, C., Meyer auf der Heide, F., &#38; Schubert, M.
    (2015). Approximation and Heuristic Algorithms for Computing Backbones in  Asymmetric
    Ad-Hoc Networks. <i>ArXiv:1510.01866</i>.
  bibtex: '@article{Abu-Khzam_Markarian_Meyer auf der Heide_Schubert_2015, title={Approximation
    and Heuristic Algorithms for Computing Backbones in  Asymmetric Ad-Hoc Networks},
    journal={arXiv:1510.01866}, author={Abu-Khzam, Faisal N.  and Markarian, Christine
    and Meyer auf der Heide, Friedhelm and Schubert, Michael}, year={2015} }'
  chicago: Abu-Khzam, Faisal N. , Christine Markarian, Friedhelm Meyer auf der Heide,
    and Michael Schubert. “Approximation and Heuristic Algorithms for Computing Backbones
    in  Asymmetric Ad-Hoc Networks.” <i>ArXiv:1510.01866</i>, 2015.
  ieee: F. N. Abu-Khzam, C. Markarian, F. Meyer auf der Heide, and M. Schubert, “Approximation
    and Heuristic Algorithms for Computing Backbones in  Asymmetric Ad-Hoc Networks,”
    <i>arXiv:1510.01866</i>. 2015.
  mla: Abu-Khzam, Faisal N., et al. “Approximation and Heuristic Algorithms for Computing
    Backbones in  Asymmetric Ad-Hoc Networks.” <i>ArXiv:1510.01866</i>, 2015.
  short: F.N. Abu-Khzam, C. Markarian, F. Meyer auf der Heide, M. Schubert, ArXiv:1510.01866
    (2015).
date_created: 2020-04-07T12:22:48Z
date_updated: 2022-01-06T06:52:50Z
department:
- _id: '63'
external_id:
  arxiv:
  - '1510.01866'
language:
- iso: eng
publication: arXiv:1510.01866
status: public
title: Approximation and Heuristic Algorithms for Computing Backbones in  Asymmetric
  Ad-Hoc Networks
type: preprint
user_id: '15415'
year: '2015'
...
---
_id: '16460'
abstract:
- lang: eng
  text: "Consider n nodes connected to a single coordinator. Each node receives an\r\nindividual
    online data stream of numbers and, at any point in time, the\r\ncoordinator has
    to know the k nodes currently observing the largest values, for\r\na given k between
    1 and n. We design and analyze an algorithm that solves this\r\nproblem while
    bounding the amount of messages exchanged between the nodes and\r\nthe coordinator.
    Our algorithm employs the idea of using filters which,\r\nintuitively speaking,
    leads to few messages to be sent, if the new input is\r\n\"similar\" to the previous
    ones. The algorithm uses a number of messages that is\r\non expectation by a factor
    of O((log {\\Delta} + k) log n) larger than that of\r\nan offline algorithm that
    sets filters in an optimal way, where {\\Delta} is\r\nupper bounded by the largest
    value observed by any node."
author:
- first_name: Alexander
  full_name: Mäcker, Alexander
  last_name: Mäcker
- first_name: Manuel
  full_name: Malatyali, Manuel
  last_name: Malatyali
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
citation:
  ama: 'Mäcker A, Malatyali M, Meyer auf der Heide F. Online Top-k-Position Monitoring
    of Distributed Data Streams. In: <i>Proceedings of the 29th International Parallel
    and Distributed Processing Symposium (IPDPS)</i>. IEEE; 2015:357-364. doi:<a href="https://doi.org/10.1109/IPDPS.2015.40">10.1109/IPDPS.2015.40</a>'
  apa: Mäcker, A., Malatyali, M., &#38; Meyer auf der Heide, F. (2015). Online Top-k-Position
    Monitoring of Distributed Data Streams. In <i>Proceedings of the 29th International
    Parallel and Distributed Processing Symposium (IPDPS)</i> (pp. 357–364). IEEE.
    <a href="https://doi.org/10.1109/IPDPS.2015.40">https://doi.org/10.1109/IPDPS.2015.40</a>
  bibtex: '@inproceedings{Mäcker_Malatyali_Meyer auf der Heide_2015, title={Online
    Top-k-Position Monitoring of Distributed Data Streams}, DOI={<a href="https://doi.org/10.1109/IPDPS.2015.40">10.1109/IPDPS.2015.40</a>},
    booktitle={Proceedings of the 29th International Parallel and Distributed Processing
    Symposium (IPDPS)}, publisher={IEEE}, author={Mäcker, Alexander and Malatyali,
    Manuel and Meyer auf der Heide, Friedhelm}, year={2015}, pages={357–364} }'
  chicago: Mäcker, Alexander, Manuel Malatyali, and Friedhelm Meyer auf der Heide.
    “Online Top-k-Position Monitoring of Distributed Data Streams.” In <i>Proceedings
    of the 29th International Parallel and Distributed Processing Symposium (IPDPS)</i>,
    357–64. IEEE, 2015. <a href="https://doi.org/10.1109/IPDPS.2015.40">https://doi.org/10.1109/IPDPS.2015.40</a>.
  ieee: A. Mäcker, M. Malatyali, and F. Meyer auf der Heide, “Online Top-k-Position
    Monitoring of Distributed Data Streams,” in <i>Proceedings of the 29th International
    Parallel and Distributed Processing Symposium (IPDPS)</i>, 2015, pp. 357–364.
  mla: Mäcker, Alexander, et al. “Online Top-k-Position Monitoring of Distributed
    Data Streams.” <i>Proceedings of the 29th International Parallel and Distributed
    Processing Symposium (IPDPS)</i>, IEEE, 2015, pp. 357–64, doi:<a href="https://doi.org/10.1109/IPDPS.2015.40">10.1109/IPDPS.2015.40</a>.
  short: 'A. Mäcker, M. Malatyali, F. Meyer auf der Heide, in: Proceedings of the
    29th International Parallel and Distributed Processing Symposium (IPDPS), IEEE,
    2015, pp. 357–364.'
date_created: 2020-04-08T07:02:15Z
date_updated: 2022-01-06T06:52:50Z
department:
- _id: '63'
doi: 10.1109/IPDPS.2015.40
external_id:
  arxiv:
  - '1410.7912'
language:
- iso: eng
page: 357-364
publication: Proceedings of the 29th International Parallel and Distributed Processing
  Symposium (IPDPS)
publisher: IEEE
status: public
title: Online Top-k-Position Monitoring of Distributed Data Streams
type: conference
user_id: '15415'
year: '2015'
...
