---
_id: '50458'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>Consider a set of jobs connected
    to a directed acyclic task graph with a fixed source and sink. The edges of this
    graph model precedence constraints and the jobs have to be scheduled with respect
    to those. We introduce the server cloud scheduling problem, in which the jobs
    have to be processed either on a single local machine or on one of infinitely
    many cloud machines. For each job, processing times both on the server and in
    the cloud are given. Furthermore, for each edge in the task graph, a communication
    delay is included in the input and has to be taken into account if one of the
    two jobs is scheduled on the server and the other in the cloud. The server processes
    jobs sequentially, whereas the cloud can serve as many as needed in parallel,
    but induces costs. We consider both makespan and cost minimization. The main results
    are an FPTAS for the makespan objective for graphs with a constant source and
    sink dividing cut and strong hardness for the case with unit processing times
    and delays.</jats:p>
author:
- first_name: Marten
  full_name: Maack, Marten
  id: '88252'
  last_name: Maack
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Simon
  full_name: Pukrop, Simon
  id: '44428'
  last_name: Pukrop
citation:
  ama: Maack M, Meyer auf der Heide F, Pukrop S. Server Cloud Scheduling. <i>Algorithmica</i>.
    Published online 2023. doi:<a href="https://doi.org/10.1007/s00453-023-01189-x">10.1007/s00453-023-01189-x</a>
  apa: Maack, M., Meyer auf der Heide, F., &#38; Pukrop, S. (2023). Server Cloud Scheduling.
    <i>Algorithmica</i>. <a href="https://doi.org/10.1007/s00453-023-01189-x">https://doi.org/10.1007/s00453-023-01189-x</a>
  bibtex: '@article{Maack_Meyer auf der Heide_Pukrop_2023, title={Server Cloud Scheduling},
    DOI={<a href="https://doi.org/10.1007/s00453-023-01189-x">10.1007/s00453-023-01189-x</a>},
    journal={Algorithmica}, publisher={Springer Science and Business Media LLC}, author={Maack,
    Marten and Meyer auf der Heide, Friedhelm and Pukrop, Simon}, year={2023} }'
  chicago: Maack, Marten, Friedhelm Meyer auf der Heide, and Simon Pukrop. “Server
    Cloud Scheduling.” <i>Algorithmica</i>, 2023. <a href="https://doi.org/10.1007/s00453-023-01189-x">https://doi.org/10.1007/s00453-023-01189-x</a>.
  ieee: 'M. Maack, F. Meyer auf der Heide, and S. Pukrop, “Server Cloud Scheduling,”
    <i>Algorithmica</i>, 2023, doi: <a href="https://doi.org/10.1007/s00453-023-01189-x">10.1007/s00453-023-01189-x</a>.'
  mla: Maack, Marten, et al. “Server Cloud Scheduling.” <i>Algorithmica</i>, Springer
    Science and Business Media LLC, 2023, doi:<a href="https://doi.org/10.1007/s00453-023-01189-x">10.1007/s00453-023-01189-x</a>.
  short: M. Maack, F. Meyer auf der Heide, S. Pukrop, Algorithmica (2023).
date_created: 2024-01-11T11:10:53Z
date_updated: 2024-01-11T11:19:33Z
department:
- _id: '63'
doi: 10.1007/s00453-023-01189-x
extern: '1'
keyword:
- Applied Mathematics
- Computer Science Applications
- General Computer Science
language:
- iso: eng
project:
- _id: '1'
  grant_number: '160364472'
  name: 'SFB 901: SFB 901: On-The-Fly Computing - Individualisierte IT-Dienstleistungen
    in dynamischen Märkten '
- _id: '4'
  name: 'SFB 901 - C: SFB 901 - Project Area C'
- _id: '16'
  grant_number: '160364472'
  name: 'SFB 901 - C4: SFB 901 - On-The-Fly Compute Centers II: Ausführung komponierter
    Dienste in konfigurierbaren Rechenzentren (Subproject C4)'
publication: Algorithmica
publication_identifier:
  issn:
  - 0178-4617
  - 1432-0541
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Server Cloud Scheduling
type: journal_article
user_id: '44428'
year: '2023'
...
---
_id: '50460'
author:
- first_name: Max A.
  full_name: Deppert, Max A.
  last_name: Deppert
- first_name: Klaus
  full_name: Jansen, Klaus
  last_name: Jansen
- first_name: Marten
  full_name: Maack, Marten
  id: '88252'
  last_name: Maack
- first_name: Simon
  full_name: Pukrop, Simon
  id: '44428'
  last_name: Pukrop
- first_name: Malin
  full_name: Rau, Malin
  last_name: Rau
citation:
  ama: 'Deppert MA, Jansen K, Maack M, Pukrop S, Rau M. Scheduling with Many Shared
    Resources. In: <i>2023 IEEE International Parallel and Distributed Processing
    Symposium (IPDPS)</i>. IEEE; 2023. doi:<a href="https://doi.org/10.1109/ipdps54959.2023.00049">10.1109/ipdps54959.2023.00049</a>'
  apa: Deppert, M. A., Jansen, K., Maack, M., Pukrop, S., &#38; Rau, M. (2023). Scheduling
    with Many Shared Resources. <i>2023 IEEE International Parallel and Distributed
    Processing Symposium (IPDPS)</i>. <a href="https://doi.org/10.1109/ipdps54959.2023.00049">https://doi.org/10.1109/ipdps54959.2023.00049</a>
  bibtex: '@inproceedings{Deppert_Jansen_Maack_Pukrop_Rau_2023, title={Scheduling
    with Many Shared Resources}, DOI={<a href="https://doi.org/10.1109/ipdps54959.2023.00049">10.1109/ipdps54959.2023.00049</a>},
    booktitle={2023 IEEE International Parallel and Distributed Processing Symposium
    (IPDPS)}, publisher={IEEE}, author={Deppert, Max A. and Jansen, Klaus and Maack,
    Marten and Pukrop, Simon and Rau, Malin}, year={2023} }'
  chicago: Deppert, Max A., Klaus Jansen, Marten Maack, Simon Pukrop, and Malin Rau.
    “Scheduling with Many Shared Resources.” In <i>2023 IEEE International Parallel
    and Distributed Processing Symposium (IPDPS)</i>. IEEE, 2023. <a href="https://doi.org/10.1109/ipdps54959.2023.00049">https://doi.org/10.1109/ipdps54959.2023.00049</a>.
  ieee: 'M. A. Deppert, K. Jansen, M. Maack, S. Pukrop, and M. Rau, “Scheduling with
    Many Shared Resources,” 2023, doi: <a href="https://doi.org/10.1109/ipdps54959.2023.00049">10.1109/ipdps54959.2023.00049</a>.'
  mla: Deppert, Max A., et al. “Scheduling with Many Shared Resources.” <i>2023 IEEE
    International Parallel and Distributed Processing Symposium (IPDPS)</i>, IEEE,
    2023, doi:<a href="https://doi.org/10.1109/ipdps54959.2023.00049">10.1109/ipdps54959.2023.00049</a>.
  short: 'M.A. Deppert, K. Jansen, M. Maack, S. Pukrop, M. Rau, in: 2023 IEEE International
    Parallel and Distributed Processing Symposium (IPDPS), IEEE, 2023.'
date_created: 2024-01-11T11:30:14Z
date_updated: 2024-01-11T11:31:11Z
department:
- _id: '63'
doi: 10.1109/ipdps54959.2023.00049
language:
- iso: eng
project:
- _id: '1'
  grant_number: '160364472'
  name: 'SFB 901: SFB 901: On-The-Fly Computing - Individualisierte IT-Dienstleistungen
    in dynamischen Märkten '
- _id: '4'
  name: 'SFB 901 - C: SFB 901 - Project Area C'
- _id: '16'
  grant_number: '160364472'
  name: 'SFB 901 - C4: SFB 901 - On-The-Fly Compute Centers II: Ausführung komponierter
    Dienste in konfigurierbaren Rechenzentren (Subproject C4)'
publication: 2023 IEEE International Parallel and Distributed Processing Symposium
  (IPDPS)
publication_status: published
publisher: IEEE
status: public
title: Scheduling with Many Shared Resources
type: conference
user_id: '44428'
year: '2023'
...
---
_id: '45895'
author:
- first_name: Holger
  full_name: Karl, Holger
  id: '126'
  last_name: Karl
- first_name: Marten
  full_name: Maack, Marten
  id: '88252'
  last_name: Maack
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Simon
  full_name: Pukrop, Simon
  id: '44428'
  last_name: Pukrop
- first_name: Adrian
  full_name: Redder, Adrian
  id: '52265'
  last_name: Redder
  orcid: https://orcid.org/0000-0001-7391-4688
citation:
  ama: 'Karl H, Maack M, Meyer auf der Heide F, Pukrop S, Redder A. On-The-Fly Compute
    Centers II: Execution of Composed Services in Configurable Compute Centers. In:
    Haake C-J, Meyer auf der Heide F, Platzner M, Wachsmuth H, Wehrheim H, eds. <i>On-The-Fly
    Computing -- Individualized IT-Services in Dynamic Markets</i>. Vol 412. Verlagsschriftenreihe
    des Heinz Nixdorf Instituts. Heinz Nixdorf Institut, Universität Paderborn; 2023:183-202.
    doi:<a href="https://doi.org/10.5281/zenodo.8068664">10.5281/zenodo.8068664</a>'
  apa: 'Karl, H., Maack, M., Meyer auf der Heide, F., Pukrop, S., &#38; Redder, A.
    (2023). On-The-Fly Compute Centers II: Execution of Composed Services in Configurable
    Compute Centers. In C.-J. Haake, F. Meyer auf der Heide, M. Platzner, H. Wachsmuth,
    &#38; H. Wehrheim (Eds.), <i>On-The-Fly Computing -- Individualized IT-services
    in dynamic markets</i> (Vol. 412, pp. 183–202). Heinz Nixdorf Institut, Universität
    Paderborn. <a href="https://doi.org/10.5281/zenodo.8068664">https://doi.org/10.5281/zenodo.8068664</a>'
  bibtex: '@inbook{Karl_Maack_Meyer auf der Heide_Pukrop_Redder_2023, place={Paderborn},
    series={Verlagsschriftenreihe des Heinz Nixdorf Instituts}, title={On-The-Fly
    Compute Centers II: Execution of Composed Services in Configurable Compute Centers},
    volume={412}, DOI={<a href="https://doi.org/10.5281/zenodo.8068664">10.5281/zenodo.8068664</a>},
    booktitle={On-The-Fly Computing -- Individualized IT-services in dynamic markets},
    publisher={Heinz Nixdorf Institut, Universität Paderborn}, author={Karl, Holger
    and Maack, Marten and Meyer auf der Heide, Friedhelm and Pukrop, Simon and Redder,
    Adrian}, editor={Haake, Claus-Jochen and Meyer auf der Heide, Friedhelm and Platzner,
    Marco and Wachsmuth, Henning and Wehrheim, Heike}, year={2023}, pages={183–202},
    collection={Verlagsschriftenreihe des Heinz Nixdorf Instituts} }'
  chicago: 'Karl, Holger, Marten Maack, Friedhelm Meyer auf der Heide, Simon Pukrop,
    and Adrian Redder. “On-The-Fly Compute Centers II: Execution of Composed Services
    in Configurable Compute Centers.” In <i>On-The-Fly Computing -- Individualized
    IT-Services in Dynamic Markets</i>, edited by Claus-Jochen Haake, Friedhelm Meyer
    auf der Heide, Marco Platzner, Henning Wachsmuth, and Heike Wehrheim, 412:183–202.
    Verlagsschriftenreihe Des Heinz Nixdorf Instituts. Paderborn: Heinz Nixdorf Institut,
    Universität Paderborn, 2023. <a href="https://doi.org/10.5281/zenodo.8068664">https://doi.org/10.5281/zenodo.8068664</a>.'
  ieee: 'H. Karl, M. Maack, F. Meyer auf der Heide, S. Pukrop, and A. Redder, “On-The-Fly
    Compute Centers II: Execution of Composed Services in Configurable Compute Centers,”
    in <i>On-The-Fly Computing -- Individualized IT-services in dynamic markets</i>,
    vol. 412, C.-J. Haake, F. Meyer auf der Heide, M. Platzner, H. Wachsmuth, and
    H. Wehrheim, Eds. Paderborn: Heinz Nixdorf Institut, Universität Paderborn, 2023,
    pp. 183–202.'
  mla: 'Karl, Holger, et al. “On-The-Fly Compute Centers II: Execution of Composed
    Services in Configurable Compute Centers.” <i>On-The-Fly Computing -- Individualized
    IT-Services in Dynamic Markets</i>, edited by Claus-Jochen Haake et al., vol.
    412, Heinz Nixdorf Institut, Universität Paderborn, 2023, pp. 183–202, doi:<a
    href="https://doi.org/10.5281/zenodo.8068664">10.5281/zenodo.8068664</a>.'
  short: 'H. Karl, M. Maack, F. Meyer auf der Heide, S. Pukrop, A. Redder, in: C.-J.
    Haake, F. Meyer auf der Heide, M. Platzner, H. Wachsmuth, H. Wehrheim (Eds.),
    On-The-Fly Computing -- Individualized IT-Services in Dynamic Markets, Heinz Nixdorf
    Institut, Universität Paderborn, Paderborn, 2023, pp. 183–202.'
date_created: 2023-07-07T08:24:28Z
date_updated: 2023-07-07T11:16:53Z
ddc:
- '004'
department:
- _id: '7'
doi: 10.5281/zenodo.8068664
editor:
- first_name: Claus-Jochen
  full_name: Haake, Claus-Jochen
  last_name: Haake
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  last_name: Meyer auf der Heide
- first_name: Marco
  full_name: Platzner, Marco
  last_name: Platzner
- first_name: Henning
  full_name: Wachsmuth, Henning
  last_name: Wachsmuth
- first_name: Heike
  full_name: Wehrheim, Heike
  last_name: Wehrheim
file:
- access_level: open_access
  content_type: application/pdf
  creator: florida
  date_created: 2023-07-07T08:24:20Z
  date_updated: 2023-07-07T11:16:52Z
  file_id: '45896'
  file_name: C4-Chapter-SFB-Buch-Final.pdf
  file_size: 1803186
  relation: main_file
file_date_updated: 2023-07-07T11:16:52Z
has_accepted_license: '1'
intvolume: '       412'
language:
- iso: eng
oa: '1'
page: 183-202
place: Paderborn
project:
- _id: '1'
  grant_number: '160364472'
  name: 'SFB 901: SFB 901: On-The-Fly Computing - Individualisierte IT-Dienstleistungen
    in dynamischen Märkten '
- _id: '4'
  name: 'SFB 901 - C: SFB 901 - Project Area C'
- _id: '16'
  grant_number: '160364472'
  name: 'SFB 901 - C4: SFB 901 - On-The-Fly Compute Centers II: Ausführung komponierter
    Dienste in konfigurierbaren Rechenzentren (Subproject C4)'
publication: On-The-Fly Computing -- Individualized IT-services in dynamic markets
publisher: Heinz Nixdorf Institut, Universität Paderborn
series_title: Verlagsschriftenreihe des Heinz Nixdorf Instituts
status: public
title: 'On-The-Fly Compute Centers II: Execution of Composed Services in Configurable
  Compute Centers'
type: book_chapter
user_id: '477'
volume: 412
year: '2023'
...
---
_id: '45781'
author:
- first_name: Simon
  full_name: Pukrop, Simon
  id: '44428'
  last_name: Pukrop
citation:
  ama: Pukrop S. <i>On Cloud Assisted, Restricted, and Reosurce Constrained Scheduling</i>.;
    2023. doi:<a href="https://doi.org/10.17619/UNIPB/1-1768 ">10.17619/UNIPB/1-1768
    </a>
  apa: Pukrop, S. (2023). <i>On Cloud Assisted, Restricted, and Reosurce Constrained
    Scheduling</i>. <a href="https://doi.org/10.17619/UNIPB/1-1768 ">https://doi.org/10.17619/UNIPB/1-1768
    </a>
  bibtex: '@book{Pukrop_2023, title={On Cloud Assisted, Restricted, and Reosurce Constrained
    Scheduling}, DOI={<a href="https://doi.org/10.17619/UNIPB/1-1768 ">10.17619/UNIPB/1-1768
    </a>}, author={Pukrop, Simon}, year={2023} }'
  chicago: Pukrop, Simon. <i>On Cloud Assisted, Restricted, and Reosurce Constrained
    Scheduling</i>, 2023. <a href="https://doi.org/10.17619/UNIPB/1-1768 ">https://doi.org/10.17619/UNIPB/1-1768
    </a>.
  ieee: S. Pukrop, <i>On Cloud Assisted, Restricted, and Reosurce Constrained Scheduling</i>.
    2023.
  mla: Pukrop, Simon. <i>On Cloud Assisted, Restricted, and Reosurce Constrained Scheduling</i>.
    2023, doi:<a href="https://doi.org/10.17619/UNIPB/1-1768 ">10.17619/UNIPB/1-1768
    </a>.
  short: S. Pukrop, On Cloud Assisted, Restricted, and Reosurce Constrained Scheduling,
    2023.
date_created: 2023-06-27T05:24:19Z
date_updated: 2023-07-14T09:27:44Z
department:
- _id: '63'
doi: '10.17619/UNIPB/1-1768 '
language:
- iso: eng
project:
- _id: '1'
  grant_number: '160364472'
  name: 'SFB 901: SFB 901: On-The-Fly Computing - Individualisierte IT-Dienstleistungen
    in dynamischen Märkten '
- _id: '4'
  name: 'SFB 901 - C: SFB 901 - Project Area C'
- _id: '16'
  grant_number: '160364472'
  name: 'SFB 901 - C4: SFB 901 - On-The-Fly Compute Centers II: Ausführung komponierter
    Dienste in konfigurierbaren Rechenzentren (Subproject C4)'
status: public
supervisor:
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
title: On Cloud Assisted, Restricted, and Reosurce Constrained Scheduling
type: dissertation
user_id: '15504'
year: '2023'
...
---
_id: '33491'
author:
- first_name: Marten
  full_name: Maack, Marten
  id: '88252'
  last_name: Maack
- first_name: Simon
  full_name: Pukrop, Simon
  id: '44428'
  last_name: Pukrop
- first_name: Anna Rodriguez
  full_name: Rasmussen, Anna Rodriguez
  last_name: Rasmussen
citation:
  ama: 'Maack M, Pukrop S, Rasmussen AR. (In-)Approximability Results for Interval,
    Resource Restricted, and Low Rank Scheduling. In: Chechik S, Navarro G, Rotenberg
    E, Herman G, eds. <i>30th Annual European Symposium on Algorithms, ESA 2022, September
    5-9, 2022, Berlin/Potsdam, Germany</i>. Vol 244. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik; 2022:77:1–77:13. doi:<a href="https://doi.org/10.4230/LIPIcs.ESA.2022.77">10.4230/LIPIcs.ESA.2022.77</a>'
  apa: Maack, M., Pukrop, S., &#38; Rasmussen, A. R. (2022). (In-)Approximability
    Results for Interval, Resource Restricted, and Low Rank Scheduling. In S. Chechik,
    G. Navarro, E. Rotenberg, &#38; G. Herman (Eds.), <i>30th Annual European Symposium
    on Algorithms, ESA 2022, September 5-9, 2022, Berlin/Potsdam, Germany</i> (Vol.
    244, p. 77:1–77:13). Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.ESA.2022.77">https://doi.org/10.4230/LIPIcs.ESA.2022.77</a>
  bibtex: '@inproceedings{Maack_Pukrop_Rasmussen_2022, series={LIPIcs}, title={(In-)Approximability
    Results for Interval, Resource Restricted, and Low Rank Scheduling}, volume={244},
    DOI={<a href="https://doi.org/10.4230/LIPIcs.ESA.2022.77">10.4230/LIPIcs.ESA.2022.77</a>},
    booktitle={30th Annual European Symposium on Algorithms, ESA 2022, September 5-9,
    2022, Berlin/Potsdam, Germany}, publisher={Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik}, author={Maack, Marten and Pukrop, Simon and Rasmussen, Anna Rodriguez},
    editor={Chechik, Shiri and Navarro, Gonzalo and Rotenberg, Eva and Herman, Grzegorz},
    year={2022}, pages={77:1–77:13}, collection={LIPIcs} }'
  chicago: Maack, Marten, Simon Pukrop, and Anna Rodriguez Rasmussen. “(In-)Approximability
    Results for Interval, Resource Restricted, and Low Rank Scheduling.” In <i>30th
    Annual European Symposium on Algorithms, ESA 2022, September 5-9, 2022, Berlin/Potsdam,
    Germany</i>, edited by Shiri Chechik, Gonzalo Navarro, Eva Rotenberg, and Grzegorz
    Herman, 244:77:1–77:13. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2022. <a href="https://doi.org/10.4230/LIPIcs.ESA.2022.77">https://doi.org/10.4230/LIPIcs.ESA.2022.77</a>.
  ieee: 'M. Maack, S. Pukrop, and A. R. Rasmussen, “(In-)Approximability Results for
    Interval, Resource Restricted, and Low Rank Scheduling,” in <i>30th Annual European
    Symposium on Algorithms, ESA 2022, September 5-9, 2022, Berlin/Potsdam, Germany</i>,
    2022, vol. 244, p. 77:1–77:13, doi: <a href="https://doi.org/10.4230/LIPIcs.ESA.2022.77">10.4230/LIPIcs.ESA.2022.77</a>.'
  mla: Maack, Marten, et al. “(In-)Approximability Results for Interval, Resource
    Restricted, and Low Rank Scheduling.” <i>30th Annual European Symposium on Algorithms,
    ESA 2022, September 5-9, 2022, Berlin/Potsdam, Germany</i>, edited by Shiri Chechik
    et al., vol. 244, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, p.
    77:1–77:13, doi:<a href="https://doi.org/10.4230/LIPIcs.ESA.2022.77">10.4230/LIPIcs.ESA.2022.77</a>.
  short: 'M. Maack, S. Pukrop, A.R. Rasmussen, in: S. Chechik, G. Navarro, E. Rotenberg,
    G. Herman (Eds.), 30th Annual European Symposium on Algorithms, ESA 2022, September
    5-9, 2022, Berlin/Potsdam, Germany, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2022, p. 77:1–77:13.'
date_created: 2022-09-27T13:06:05Z
date_updated: 2022-11-18T10:14:14Z
department:
- _id: '63'
doi: 10.4230/LIPIcs.ESA.2022.77
editor:
- first_name: Shiri
  full_name: Chechik, Shiri
  last_name: Chechik
- first_name: Gonzalo
  full_name: Navarro, Gonzalo
  last_name: Navarro
- first_name: Eva
  full_name: Rotenberg, Eva
  last_name: Rotenberg
- first_name: Grzegorz
  full_name: Herman, Grzegorz
  last_name: Herman
intvolume: '       244'
language:
- iso: eng
page: 77:1–77:13
project:
- _id: '1'
  name: 'SFB 901: SFB 901'
- _id: '16'
  name: 'SFB 901 - C4: SFB 901 - Subproject C4'
- _id: '4'
  name: 'SFB 901 - C: SFB 901 - Project Area C'
publication: 30th Annual European Symposium on Algorithms, ESA 2022, September 5-9,
  2022, Berlin/Potsdam, Germany
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
series_title: LIPIcs
status: public
title: (In-)Approximability Results for Interval, Resource Restricted, and Low Rank
  Scheduling
type: conference
user_id: '477'
volume: 244
year: '2022'
...
---
_id: '29872'
author:
- first_name: Marten
  full_name: Maack, Marten
  id: '88252'
  last_name: Maack
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Simon
  full_name: Pukrop, Simon
  id: '44428'
  last_name: Pukrop
citation:
  ama: 'Maack M, Meyer auf der Heide F, Pukrop S. Server Cloud Scheduling. In: <i>Approximation
    and Online Algorithms</i>. Springer International Publishing; 2022. doi:<a href="https://doi.org/10.1007/978-3-030-92702-8_10">10.1007/978-3-030-92702-8_10</a>'
  apa: Maack, M., Meyer auf der Heide, F., &#38; Pukrop, S. (2022). Server Cloud Scheduling.
    In <i>Approximation and Online Algorithms</i>. Springer International Publishing.
    <a href="https://doi.org/10.1007/978-3-030-92702-8_10">https://doi.org/10.1007/978-3-030-92702-8_10</a>
  bibtex: '@inbook{Maack_Meyer auf der Heide_Pukrop_2022, place={Cham}, title={Server
    Cloud Scheduling}, DOI={<a href="https://doi.org/10.1007/978-3-030-92702-8_10">10.1007/978-3-030-92702-8_10</a>},
    booktitle={Approximation and Online Algorithms}, publisher={Springer International
    Publishing}, author={Maack, Marten and Meyer auf der Heide, Friedhelm and Pukrop,
    Simon}, year={2022} }'
  chicago: 'Maack, Marten, Friedhelm Meyer auf der Heide, and Simon Pukrop. “Server
    Cloud Scheduling.” In <i>Approximation and Online Algorithms</i>. Cham: Springer
    International Publishing, 2022. <a href="https://doi.org/10.1007/978-3-030-92702-8_10">https://doi.org/10.1007/978-3-030-92702-8_10</a>.'
  ieee: 'M. Maack, F. Meyer auf der Heide, and S. Pukrop, “Server Cloud Scheduling,”
    in <i>Approximation and Online Algorithms</i>, Cham: Springer International Publishing,
    2022.'
  mla: Maack, Marten, et al. “Server Cloud Scheduling.” <i>Approximation and Online
    Algorithms</i>, Springer International Publishing, 2022, doi:<a href="https://doi.org/10.1007/978-3-030-92702-8_10">10.1007/978-3-030-92702-8_10</a>.
  short: 'M. Maack, F. Meyer auf der Heide, S. Pukrop, in: Approximation and Online
    Algorithms, Springer International Publishing, Cham, 2022.'
date_created: 2022-02-18T09:31:54Z
date_updated: 2022-09-27T15:03:13Z
department:
- _id: '63'
doi: 10.1007/978-3-030-92702-8_10
language:
- iso: eng
place: Cham
project:
- _id: '1'
  name: 'SFB 901: SFB 901'
- _id: '4'
  name: 'SFB 901 - C: SFB 901 - Project Area C'
- _id: '16'
  name: 'SFB 901 - C4: SFB 901 - Subproject C4'
publication: Approximation and Online Algorithms
publication_identifier:
  isbn:
  - '9783030927011'
  - '9783030927028'
  issn:
  - 0302-9743
  - 1611-3349
publication_status: published
publisher: Springer International Publishing
status: public
title: Server Cloud Scheduling
type: book_chapter
user_id: '44428'
year: '2022'
...
---
_id: '27778'
abstract:
- lang: eng
  text: "Consider a set of jobs connected to a directed acyclic task graph with a\r\nfixed
    source and sink. The edges of this graph model precedence constraints and\r\nthe
    jobs have to be scheduled with respect to those. We introduce the Server\r\nCloud
    Scheduling problem, in which the jobs have to be processed either on a\r\nsingle
    local machine or on one of many cloud machines. Both the source and the\r\nsink
    have to be scheduled on the local machine. For each job, processing times\r\nboth
    on the server and in the cloud are given. Furthermore, for each edge in\r\nthe
    task graph, a communication delay is included in the input and has to be\r\ntaken
    into account if one of the two jobs is scheduled on the server, the other\r\nin
    the cloud. The server can process jobs sequentially, whereas the cloud can\r\nserve
    as many as needed in parallel, but induces costs. We consider both\r\nmakespan
    and cost minimization. The main results are an FPTAS with respect for\r\nthe makespan
    objective for a fairly general case and strong hardness for the\r\ncase with unit
    processing times and delays."
author:
- first_name: Marten
  full_name: Maack, Marten
  id: '88252'
  last_name: Maack
- first_name: Friedhelm
  full_name: Meyer auf der Heide, Friedhelm
  id: '15523'
  last_name: Meyer auf der Heide
- first_name: Simon
  full_name: Pukrop, Simon
  id: '44428'
  last_name: Pukrop
citation:
  ama: Maack M, Meyer auf der Heide F, Pukrop S. Full Version -- Server Cloud Scheduling.
    <i>arXiv:210802109</i>. Published online 2021.
  apa: Maack, M., Meyer auf der Heide, F., &#38; Pukrop, S. (2021). Full Version --
    Server Cloud Scheduling. In <i>arXiv:2108.02109</i>.
  bibtex: '@article{Maack_Meyer auf der Heide_Pukrop_2021, title={Full Version --
    Server Cloud Scheduling}, journal={arXiv:2108.02109}, author={Maack, Marten and
    Meyer auf der Heide, Friedhelm and Pukrop, Simon}, year={2021} }'
  chicago: Maack, Marten, Friedhelm Meyer auf der Heide, and Simon Pukrop. “Full Version
    -- Server Cloud Scheduling.” <i>ArXiv:2108.02109</i>, 2021.
  ieee: M. Maack, F. Meyer auf der Heide, and S. Pukrop, “Full Version -- Server Cloud
    Scheduling,” <i>arXiv:2108.02109</i>. 2021.
  mla: Maack, Marten, et al. “Full Version -- Server Cloud Scheduling.” <i>ArXiv:2108.02109</i>,
    2021.
  short: M. Maack, F. Meyer auf der Heide, S. Pukrop, ArXiv:2108.02109 (2021).
date_created: 2021-11-24T13:23:58Z
date_updated: 2022-09-27T15:03:19Z
department:
- _id: '63'
- _id: '26'
language:
- iso: eng
publication: arXiv:2108.02109
status: public
title: Full Version -- Server Cloud Scheduling
type: preprint
user_id: '44428'
year: '2021'
...
---
_id: '13868'
author:
- first_name: Simon
  full_name: Pukrop, Simon
  id: '44428'
  last_name: Pukrop
- 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
citation:
  ama: 'Pukrop S, Mäcker A, Meyer auf der Heide F. Approximating Weighted Completion
    Time for Order Scheduling with Setup Times. In: <i>Proceedings of the 46th International
    Conference on Current Trends in Theory and Practice of Computer Science (SOFSEM)</i>.
    ; 2020.'
  apa: Pukrop, S., Mäcker, A., &#38; Meyer auf der Heide, F. (2020). Approximating
    Weighted Completion Time for Order Scheduling with Setup Times. In <i>Proceedings
    of the 46th International Conference on Current Trends in Theory and Practice
    of Computer Science (SOFSEM)</i>.
  bibtex: '@inproceedings{Pukrop_Mäcker_Meyer auf der Heide_2020, title={Approximating
    Weighted Completion Time for Order Scheduling with Setup Times}, booktitle={Proceedings
    of the 46th International Conference on Current Trends in Theory and Practice
    of Computer Science (SOFSEM)}, author={Pukrop, Simon and Mäcker, Alexander and
    Meyer auf der Heide, Friedhelm}, year={2020} }'
  chicago: Pukrop, Simon, Alexander Mäcker, and Friedhelm Meyer auf der Heide. “Approximating
    Weighted Completion Time for Order Scheduling with Setup Times.” In <i>Proceedings
    of the 46th International Conference on Current Trends in Theory and Practice
    of Computer Science (SOFSEM)</i>, 2020.
  ieee: S. Pukrop, A. Mäcker, and F. Meyer auf der Heide, “Approximating Weighted
    Completion Time for Order Scheduling with Setup Times,” in <i>Proceedings of the
    46th International Conference on Current Trends in Theory and Practice of Computer
    Science (SOFSEM)</i>, 2020.
  mla: Pukrop, Simon, et al. “Approximating Weighted Completion Time for Order Scheduling
    with Setup Times.” <i>Proceedings of the 46th International Conference on Current
    Trends in Theory and Practice of Computer Science (SOFSEM)</i>, 2020.
  short: 'S. Pukrop, A. Mäcker, F. Meyer auf der Heide, in: Proceedings of the 46th
    International Conference on Current Trends in Theory and Practice of Computer
    Science (SOFSEM), 2020.'
date_created: 2019-10-15T12:19:49Z
date_updated: 2022-01-06T06:51:45Z
department:
- _id: '63'
language:
- iso: eng
project:
- _id: '4'
  name: SFB 901 - Project Area C
- _id: '1'
  name: SFB 901
- _id: '16'
  name: SFB 901 - Subproject C4
publication: Proceedings of the 46th International Conference on Current Trends in
  Theory and Practice of Computer Science (SOFSEM)
status: public
title: Approximating Weighted Completion Time for Order Scheduling with Setup Times
type: conference
user_id: '44428'
year: '2020'
...
