--- _id: '580' abstract: - lang: eng text: We present and study a new model for energy-aware and profit-oriented scheduling on a single processor.The processor features dynamic speed scaling as well as suspension to a sleep mode.Jobs arrive over time, are preemptable, and have different sizes, values, and deadlines.On the arrival of a new job, the scheduler may either accept or reject the job.Accepted jobs need a certain energy investment to be finished in time, while rejected jobs cause costs equal to their values.Here, power consumption at speed $s$ is given by $P(s)=s^{\alpha}+\beta$ and the energy investment is power integrated over time.Additionally, the scheduler may decide to suspend the processor to a sleep mode in which no energy is consumed, though awaking entails fixed transition costs $\gamma$.The objective is to minimize the total value of rejected jobs plus the total energy.Our model combines aspects from advanced energy conservation techniques (namely speed scaling and sleep states) and profit-oriented scheduling models.We show that \emph{rejection-oblivious} schedulers (whose rejection decisions are not based on former decisions) have – in contrast to the model without sleep states – an unbounded competitive ratio.It turns out that the jobs' value densities (the ratio between a job's value and its work) are crucial for the performance of such schedulers.We give an algorithm whose competitiveness nearly matches the lower bound w.r.t\text{.} the maximum value density.If the maximum value density is not too large, the competitiveness becomes $\alpha^{\alpha}+2e\alpha$.Also, we show that it suffices to restrict the value density of low-value jobs only.Using a technique from \cite{Chan:2010} we transfer our results to processors with a fixed maximum speed. author: - first_name: Andreas full_name: Cord-Landwehr, Andreas last_name: Cord-Landwehr - first_name: Peter full_name: Kling, Peter last_name: Kling - first_name: Fredrik full_name: Mallmann Trenn, Fredrik last_name: Mallmann Trenn citation: ama: 'Cord-Landwehr A, Kling P, Mallmann Trenn F. Slow Down & Sleep for Profit in Online Deadline Scheduling. In: Even G, Rawitz D, eds. Proceedings of the 1st Mediterranean Conference on Algorithms (MedAlg). LNCS. ; 2012:218-231. doi:10.1007/978-3-642-34862-4_17' apa: Cord-Landwehr, A., Kling, P., & Mallmann Trenn, F. (2012). Slow Down & Sleep for Profit in Online Deadline Scheduling. In G. Even & D. Rawitz (Eds.), Proceedings of the 1st Mediterranean Conference on Algorithms (MedAlg) (pp. 218–231). https://doi.org/10.1007/978-3-642-34862-4_17 bibtex: '@inproceedings{Cord-Landwehr_Kling_Mallmann Trenn_2012, series={LNCS}, title={Slow Down & Sleep for Profit in Online Deadline Scheduling}, DOI={10.1007/978-3-642-34862-4_17}, booktitle={Proceedings of the 1st Mediterranean Conference on Algorithms (MedAlg)}, author={Cord-Landwehr, Andreas and Kling, Peter and Mallmann Trenn, Fredrik}, editor={Even, Guy and Rawitz, DrorEditors}, year={2012}, pages={218–231}, collection={LNCS} }' chicago: Cord-Landwehr, Andreas, Peter Kling, and Fredrik Mallmann Trenn. “Slow Down & Sleep for Profit in Online Deadline Scheduling.” In Proceedings of the 1st Mediterranean Conference on Algorithms (MedAlg), edited by Guy Even and Dror Rawitz, 218–31. LNCS, 2012. https://doi.org/10.1007/978-3-642-34862-4_17. ieee: A. Cord-Landwehr, P. Kling, and F. Mallmann Trenn, “Slow Down & Sleep for Profit in Online Deadline Scheduling,” in Proceedings of the 1st Mediterranean Conference on Algorithms (MedAlg), 2012, pp. 218–231. mla: Cord-Landwehr, Andreas, et al. “Slow Down & Sleep for Profit in Online Deadline Scheduling.” Proceedings of the 1st Mediterranean Conference on Algorithms (MedAlg), edited by Guy Even and Dror Rawitz, 2012, pp. 218–31, doi:10.1007/978-3-642-34862-4_17. short: 'A. Cord-Landwehr, P. Kling, F. Mallmann Trenn, in: G. Even, D. Rawitz (Eds.), Proceedings of the 1st Mediterranean Conference on Algorithms (MedAlg), 2012, pp. 218–231.' date_created: 2017-10-17T12:42:45Z date_updated: 2022-01-06T07:02:42Z ddc: - '040' department: - _id: '63' doi: 10.1007/978-3-642-34862-4_17 editor: - first_name: Guy full_name: Even, Guy last_name: Even - first_name: Dror full_name: Rawitz, Dror last_name: Rawitz file: - access_level: closed content_type: application/pdf creator: florida date_created: 2018-03-15T09:03:39Z date_updated: 2018-03-15T09:03:39Z file_id: '1265' file_name: 580-P._Kling__F._Mallmann-Trenn__A._Cord-Landwehr_-_Slow_Down___Sleep_for_Profit_in_Online_Deadline_Scheduling.pdf file_size: 325939 relation: main_file success: 1 file_date_updated: 2018-03-15T09:03:39Z has_accepted_license: '1' language: - iso: eng page: 218-231 project: - _id: '1' name: SFB 901 - _id: '14' name: SFB 901 - Subprojekt C2 - _id: '16' name: SFB 901 - Subproject C4 - _id: '4' name: SFB 901 - Project Area C publication: Proceedings of the 1st Mediterranean Conference on Algorithms (MedAlg) series_title: LNCS status: public title: Slow Down & Sleep for Profit in Online Deadline Scheduling type: conference user_id: '477' year: '2012' ... --- _id: '581' abstract: - lang: eng text: 'Nanoparticles are getting more and more in the focus of the scientic community since the potential for the development of very small particles interacting with each other and completing medical and other tasks is getting bigger year by year. In this work we introduce a distributed local algorithm for arranging a set of nanoparticles on the discrete plane into specic geometric shapes, for instance a rectangle. The concept of a particle we use can be seen as a simple mobile robot with the following restrictions: it can only view the state of robots it is physically connected to, is anonymous, has only a constant size memory, can only move by using other particles as an anchor point on which it pulls itself alongside, and it operates in Look-Compute-Move cycles. The main result of this work is the presentation of a random distributed local algorithm which transforms any given connected set of particles into a particular geometric shape. As an example we provide a version of this algorithm for forming a rectangle with an arbitrary predened aspect ratio. To the best of our knowledge this is the rst work that considers arrangement problems for these types of robots.' author: - first_name: Maximilian full_name: Drees, Maximilian last_name: Drees - first_name: Martina full_name: 'Hüllmann (married name: Eikel), Martina' last_name: 'Hüllmann (married name: Eikel)' - first_name: Andreas full_name: Koutsopoulos, Andreas last_name: Koutsopoulos - first_name: Christian full_name: Scheideler, Christian id: '20792' last_name: Scheideler citation: ama: 'Drees M, Hüllmann (married name: Eikel) M, Koutsopoulos A, Scheideler C. Self-Organizing Particle Systems. In: Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium (IPDPS). ; 2012:1272-1283. doi:10.1109/IPDPS.2012.116' apa: 'Drees, M., Hüllmann (married name: Eikel), M., Koutsopoulos, A., & Scheideler, C. (2012). Self-Organizing Particle Systems. In Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium (IPDPS) (pp. 1272–1283). https://doi.org/10.1109/IPDPS.2012.116' bibtex: '@inproceedings{Drees_Hüllmann (married name: Eikel)_Koutsopoulos_Scheideler_2012, title={Self-Organizing Particle Systems}, DOI={10.1109/IPDPS.2012.116}, booktitle={Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium (IPDPS)}, author={Drees, Maximilian and Hüllmann (married name: Eikel), Martina and Koutsopoulos, Andreas and Scheideler, Christian}, year={2012}, pages={1272–1283} }' chicago: 'Drees, Maximilian, Martina Hüllmann (married name: Eikel), Andreas Koutsopoulos, and Christian Scheideler. “Self-Organizing Particle Systems.” In Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium (IPDPS), 1272–83, 2012. https://doi.org/10.1109/IPDPS.2012.116.' ieee: 'M. Drees, M. Hüllmann (married name: Eikel), A. Koutsopoulos, and C. Scheideler, “Self-Organizing Particle Systems,” in Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2012, pp. 1272–1283.' mla: Drees, Maximilian, et al. “Self-Organizing Particle Systems.” Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2012, pp. 1272–83, doi:10.1109/IPDPS.2012.116. short: 'M. Drees, M. Hüllmann (married name: Eikel), A. Koutsopoulos, C. Scheideler, in: Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2012, pp. 1272–1283.' date_created: 2017-10-17T12:42:45Z date_updated: 2022-01-06T07:02:42Z ddc: - '040' department: - _id: '79' - _id: '63' doi: 10.1109/IPDPS.2012.116 file: - access_level: closed content_type: application/pdf creator: florida date_created: 2018-03-15T08:39:33Z date_updated: 2018-03-15T08:39:33Z file_id: '1263' file_name: 581-IPDPS2012-Scheideler_Huellmann.pdf file_size: 373131 relation: main_file success: 1 file_date_updated: 2018-03-15T08:39:33Z has_accepted_license: '1' language: - iso: eng page: 1272-1283 project: - _id: '1' name: SFB 901 - _id: '13' name: SFB 901 - Subprojekt C1 - _id: '4' name: SFB 901 - Project Area C publication: Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium (IPDPS) status: public title: Self-Organizing Particle Systems type: conference user_id: '14955' year: '2012' ... --- _id: '601' abstract: - lang: eng text: Wir betrachten eine Gruppe von mobilen, autonomen Robotern in einem ebenen Gel{\"a}nde. Es gibt keine zentrale Steuerung und die Roboter m{\"u}ssen sich selbst koordinieren. Zentrale Herausforderung dabei ist, dass jeder Roboter nur seine unmittelbare Nachbarschaft sieht und auch nur mit Robotern in seiner unmittelbaren Nachbarschaft kommunizieren kann. Daraus ergeben sich viele algorithmische Fragestellungen. In dieser Arbeit wird untersucht, unter welchen Voraussetzungen die Roboter sich auf einem Punkt versammeln bzw. eine Linie zwischen zwei festen Stationen bilden k{\"o}nnen. Daf{\"u}r werden mehrere Roboter-Strategien in verschiedenen Bewegungsmodellen vorgestellt. Diese Strategien werden auf ihre Effizienz hin untersucht. Es werden obere und untere Schranken f{\"u}r die ben{\"o}tigte Anzahl Runden und die Bewegungsdistanz gezeigt. In einigen F{\"a}llen wird außerdem die ben{\"o}tigte Bewegungsdistanz mit derjenigen Bewegungsdistanz verglichen, die eine optimale globale Strategie auf der gleichen Instanz ben{\"o}tigen w{\"u}rde. So werden kompetititve Faktoren hergeleitet. author: - first_name: Barbara full_name: Kempkes, Barbara last_name: Kempkes citation: ama: Kempkes B. Local Strategies for Robot Formation Problems. Vol 302. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn; 2012. apa: Kempkes, B. (2012). Local strategies for robot formation problems (Vol. 302). Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn. bibtex: '@book{Kempkes_2012, series={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn}, title={Local strategies for robot formation problems}, volume={302}, publisher={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn}, author={Kempkes, Barbara}, year={2012}, collection={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn} }' chicago: Kempkes, Barbara. Local Strategies for Robot Formation Problems. Vol. 302. Verlagsschriftenreihe Des Heinz Nixdorf Instituts, Paderborn. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2012. ieee: B. Kempkes, Local strategies for robot formation problems, vol. 302. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2012. mla: Kempkes, Barbara. Local Strategies for Robot Formation Problems. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2012. short: B. Kempkes, Local Strategies for Robot Formation Problems, Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2012. date_created: 2017-10-17T12:42:49Z date_updated: 2022-01-06T07:02:50Z ddc: - '040' department: - _id: '63' - _id: '26' file: - access_level: closed content_type: application/pdf creator: florida date_created: 2018-03-15T08:16:44Z date_updated: 2018-03-15T08:16:44Z file_id: '1252' file_name: 601-Kempkes-PhD.pdf file_size: 3805310 relation: main_file success: 1 file_date_updated: 2018-03-15T08:16:44Z has_accepted_license: '1' intvolume: ' 302' language: - iso: eng project: - _id: '1' name: SFB 901 - _id: '5' name: SFB 901 - Subprojekt A1 - _id: '2' name: SFB 901 - Project Area A publication_identifier: isbn: - 978-3-942647-21-2 publisher: Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn series_title: Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn status: public supervisor: - first_name: Friedhelm full_name: Meyer auf der Heide, Friedhelm id: '15523' last_name: Meyer auf der Heide title: Local strategies for robot formation problems type: dissertation user_id: '5786' volume: 302 year: '2012' ... --- _id: '619' abstract: - lang: eng text: 'Dynamics in networks is caused by a variety of reasons, like nodes moving in 2D (or 3D) in multihop cellphone networks, joins and leaves in peer-to-peer networks, evolution in social networks, and many others. In order to understand such kinds of dynamics, and to design distributed algorithms that behave well under dynamics, many ways to model dynamics are introduced and analyzed w.r.t. correctness and eciency of distributed algorithms. In [16], Kuhn, Lynch, and Oshman have introduced a very general, worst case type model of dynamics: The edge set of the network may change arbitrarily from step to step, the only restriction is that it is connected at all times and the set of nodes does not change. An extended model demands that a xed connected subnetwork is maintained over each time interval of length T (T-interval dynamics). They have presented, among others, algorithms for counting the number of nodes under such general models of dynamics.In this paper, we generalize their models and algorithms by adding random edge faults, i.e., we consider fault-prone dynamic networks: We assume that an edge currently existing may fail to transmit data with some probability p. We rst observe that strong counting, i.e., each node knows the correct count and stops, is not possible in a model with random edge faults. Our main two positive results are feasibility and runtime bounds for weak counting, i.e., stopping is no longer required (but still a correct count in each node), and for strong counting with an upper bound, i.e., an upper bound N on n is known to all nodes.' author: - first_name: Philipp full_name: Brandes, Philipp last_name: Brandes - first_name: Friedhelm full_name: Meyer auf der Heide, Friedhelm id: '15523' last_name: Meyer auf der Heide citation: ama: 'Brandes P, Meyer auf der Heide F. Distributed Computing in Fault-Prone Dynamic Networks. In: Proceedings of the 4th Workshop on Theoretical Aspects of Dynamic Distributed Systems (TADDS). ICPS. ; 2012:9-14. doi:10.1145/2414815.2414818' apa: Brandes, P., & Meyer auf der Heide, F. (2012). Distributed Computing in Fault-Prone Dynamic Networks. In Proceedings of the 4th Workshop on Theoretical Aspects of Dynamic Distributed Systems (TADDS) (pp. 9–14). https://doi.org/10.1145/2414815.2414818 bibtex: '@inproceedings{Brandes_Meyer auf der Heide_2012, series={ICPS}, title={Distributed Computing in Fault-Prone Dynamic Networks}, DOI={10.1145/2414815.2414818}, booktitle={Proceedings of the 4th Workshop on Theoretical Aspects of Dynamic Distributed Systems (TADDS)}, author={Brandes, Philipp and Meyer auf der Heide, Friedhelm}, year={2012}, pages={9–14}, collection={ICPS} }' chicago: Brandes, Philipp, and Friedhelm Meyer auf der Heide. “Distributed Computing in Fault-Prone Dynamic Networks.” In Proceedings of the 4th Workshop on Theoretical Aspects of Dynamic Distributed Systems (TADDS), 9–14. ICPS, 2012. https://doi.org/10.1145/2414815.2414818. ieee: P. Brandes and F. Meyer auf der Heide, “Distributed Computing in Fault-Prone Dynamic Networks,” in Proceedings of the 4th Workshop on Theoretical Aspects of Dynamic Distributed Systems (TADDS), 2012, pp. 9–14. mla: Brandes, Philipp, and Friedhelm Meyer auf der Heide. “Distributed Computing in Fault-Prone Dynamic Networks.” Proceedings of the 4th Workshop on Theoretical Aspects of Dynamic Distributed Systems (TADDS), 2012, pp. 9–14, doi:10.1145/2414815.2414818. short: 'P. Brandes, F. Meyer auf der Heide, in: Proceedings of the 4th Workshop on Theoretical Aspects of Dynamic Distributed Systems (TADDS), 2012, pp. 9–14.' date_created: 2017-10-17T12:42:52Z date_updated: 2022-01-06T07:02:56Z ddc: - '040' department: - _id: '63' doi: 10.1145/2414815.2414818 file: - access_level: closed content_type: application/pdf creator: florida date_created: 2018-03-15T06:47:15Z date_updated: 2018-03-15T06:47:15Z file_id: '1244' file_name: 619-Brandes_MadHTADDS12_01.pdf file_size: 346044 relation: main_file success: 1 file_date_updated: 2018-03-15T06:47:15Z has_accepted_license: '1' page: 9-14 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 4th Workshop on Theoretical Aspects of Dynamic Distributed Systems (TADDS) series_title: ICPS status: public title: Distributed Computing in Fault-Prone Dynamic Networks type: conference user_id: '15504' year: '2012' ... --- _id: '628' abstract: - lang: eng text: Network creation games model the creation and usage costs of networks formed by a set of selfish peers.Each peer has the ability to change the network in a limited way, e.g., by creating or deleting incident links.In doing so, a peer can reduce its individual communication cost.Typically, these costs are modeled by the maximum or average distance in the network.We introduce a generalized version of the basic network creation game (BNCG).In the BNCG (by Alon et al., SPAA 2010), each peer may replace one of its incident links by a link to an arbitrary peer.This is done in a selfish way in order to minimize either the maximum or average distance to all other peers.That is, each peer works towards a network structure that allows himself to communicate efficiently with all other peers.However, participants of large networks are seldom interested in all peers.Rather, they want to communicate efficiently with a small subset only.Our model incorporates these (communication) interests explicitly.Given peers with interests and a communication network forming a tree, we prove several results on the structure and quality of equilibria in our model.We focus on the MAX-version, i.e., each node tries to minimize the maximum distance to nodes it is interested in, and give an upper bound of O(\sqrt(n)) for the private costs in an equilibrium of n peers.Moreover, we give an equilibrium for a circular interest graph where a node has private cost Omega(\sqrt(n)), showing that our bound is tight.This example can be extended such that we get a tight bound of Theta(\sqrt(n)) for the price of anarchy.For the case of general networks we show the price of anarchy to be Theta(n).Additionally, we prove an interesting connection between a maximum independent set in the interest graph and the private costs of the peers. author: - first_name: Andreas full_name: Cord-Landwehr, Andreas last_name: Cord-Landwehr - first_name: Martina full_name: 'Huellmann (married name: Eikel), Martina' last_name: 'Huellmann (married name: Eikel)' - first_name: Peter full_name: Kling, Peter last_name: Kling - first_name: Alexander full_name: Setzer, Alexander id: '11108' last_name: Setzer citation: ama: 'Cord-Landwehr A, Huellmann (married name: Eikel) M, Kling P, Setzer A. Basic Network Creation Games with Communication Interests. In: Proceedings of the 5th International Symposium on Algorithmic Game Theory (SAGT). LNCS. ; 2012:72--83. doi:10.1007/978-3-642-33996-7_7' apa: 'Cord-Landwehr, A., Huellmann (married name: Eikel), M., Kling, P., & Setzer, A. (2012). Basic Network Creation Games with Communication Interests. In Proceedings of the 5th International Symposium on Algorithmic Game Theory (SAGT) (pp. 72--83). https://doi.org/10.1007/978-3-642-33996-7_7' bibtex: '@inproceedings{Cord-Landwehr_Huellmann (married name: Eikel)_Kling_Setzer_2012, series={LNCS}, title={Basic Network Creation Games with Communication Interests}, DOI={10.1007/978-3-642-33996-7_7}, booktitle={Proceedings of the 5th International Symposium on Algorithmic Game Theory (SAGT)}, author={Cord-Landwehr, Andreas and Huellmann (married name: Eikel), Martina and Kling, Peter and Setzer, Alexander}, year={2012}, pages={72--83}, collection={LNCS} }' chicago: 'Cord-Landwehr, Andreas, Martina Huellmann (married name: Eikel), Peter Kling, and Alexander Setzer. “Basic Network Creation Games with Communication Interests.” In Proceedings of the 5th International Symposium on Algorithmic Game Theory (SAGT), 72--83. LNCS, 2012. https://doi.org/10.1007/978-3-642-33996-7_7.' ieee: 'A. Cord-Landwehr, M. Huellmann (married name: Eikel), P. Kling, and A. Setzer, “Basic Network Creation Games with Communication Interests,” in Proceedings of the 5th International Symposium on Algorithmic Game Theory (SAGT), 2012, pp. 72--83.' mla: Cord-Landwehr, Andreas, et al. “Basic Network Creation Games with Communication Interests.” Proceedings of the 5th International Symposium on Algorithmic Game Theory (SAGT), 2012, pp. 72--83, doi:10.1007/978-3-642-33996-7_7. short: 'A. Cord-Landwehr, M. Huellmann (married name: Eikel), P. Kling, A. Setzer, in: Proceedings of the 5th International Symposium on Algorithmic Game Theory (SAGT), 2012, pp. 72--83.' date_created: 2017-10-17T12:42:54Z date_updated: 2022-01-06T07:02:59Z ddc: - '040' department: - _id: '79' - _id: '63' doi: 10.1007/978-3-642-33996-7_7 file: - access_level: closed content_type: application/pdf creator: florida date_created: 2018-03-15T06:42:01Z date_updated: 2018-03-15T06:42:01Z file_id: '1238' file_name: 628-FULL_paper_bncs_with_interests.pdf file_size: 300591 relation: main_file success: 1 file_date_updated: 2018-03-15T06:42:01Z has_accepted_license: '1' language: - iso: eng page: 72--83 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 5th International Symposium on Algorithmic Game Theory (SAGT) series_title: LNCS status: public title: Basic Network Creation Games with Communication Interests type: conference user_id: '477' year: '2012' ... --- _id: '636' abstract: - lang: eng text: We consider an online facility location problem where clients arrive over time and their demands have to be served by opening facilities and assigning the clients to opened facilities. When opening a facility we must choose one of K different lease types to use. A lease type k has a certain lease length lk. Opening a facility i using lease type k causes a cost of f k i and ensures that i is open for the next lk time steps. In addition to costs for opening facilities, we have to take connection costs ci j into account when assigning a client j to facility i. We develop and analyze the first online algorithm for this problem that has a time-independent competitive factor.This variant of the online facility location problem was introduced by Nagarajan and Williamson [7] and is strongly related to both the online facility problem by Meyerson [5] and the parking permit problem by Meyerson [6]. Nagarajan and Williamson gave a 3-approximation algorithm for the offline problem and an O(Klogn)-competitive algorithm for the online variant. Here, n denotes the total number of clients arriving over time. We extend their result by removing the dependency on n (and thereby on the time). In general, our algorithm is O(lmax log(lmax))-competitive. Here lmax denotes the maximum lease length. Moreover, we prove that it is O(log2(lmax))-competitive for many “natural” cases. Such cases include, for example, situations where the number of clients arriving in each time step does not vary too much, or is non-increasing, or is polynomially bounded in lmax. author: - 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 - first_name: Peter full_name: Kling, Peter last_name: Kling citation: ama: 'Meyer auf der Heide F, Pietrzyk P, Kling P. An Algorithm for Facility Leasing. In: Proceedings of the 19th International Colloquium on Structural Information & Communication Complexity (SIROCCO). LNCS. ; 2012:61-72. doi:10.1007/978-3-642-31104-8_6' apa: Meyer auf der Heide, F., Pietrzyk, P., & Kling, P. (2012). An Algorithm for Facility Leasing. In Proceedings of the 19th International Colloquium on Structural Information & Communication Complexity (SIROCCO) (pp. 61–72). https://doi.org/10.1007/978-3-642-31104-8_6 bibtex: '@inproceedings{Meyer auf der Heide_Pietrzyk_Kling_2012, series={LNCS}, title={An Algorithm for Facility Leasing}, DOI={10.1007/978-3-642-31104-8_6}, booktitle={Proceedings of the 19th International Colloquium on Structural Information & Communication Complexity (SIROCCO)}, author={Meyer auf der Heide, Friedhelm and Pietrzyk, Peter and Kling, Peter}, year={2012}, pages={61–72}, collection={LNCS} }' chicago: Meyer auf der Heide, Friedhelm, Peter Pietrzyk, and Peter Kling. “An Algorithm for Facility Leasing.” In Proceedings of the 19th International Colloquium on Structural Information & Communication Complexity (SIROCCO), 61–72. LNCS, 2012. https://doi.org/10.1007/978-3-642-31104-8_6. ieee: F. Meyer auf der Heide, P. Pietrzyk, and P. Kling, “An Algorithm for Facility Leasing,” in Proceedings of the 19th International Colloquium on Structural Information & Communication Complexity (SIROCCO), 2012, pp. 61–72. mla: Meyer auf der Heide, Friedhelm, et al. “An Algorithm for Facility Leasing.” Proceedings of the 19th International Colloquium on Structural Information & Communication Complexity (SIROCCO), 2012, pp. 61–72, doi:10.1007/978-3-642-31104-8_6. short: 'F. Meyer auf der Heide, P. Pietrzyk, P. Kling, in: Proceedings of the 19th International Colloquium on Structural Information & Communication Complexity (SIROCCO), 2012, pp. 61–72.' date_created: 2017-10-17T12:42:56Z date_updated: 2022-01-06T07:03:02Z ddc: - '040' department: - _id: '63' doi: 10.1007/978-3-642-31104-8_6 file: - access_level: closed content_type: application/pdf creator: florida date_created: 2018-03-14T14:14:21Z date_updated: 2018-03-14T14:14:21Z file_id: '1232' file_name: 636-Online_Facility_Location.pdf file_size: 173049 relation: main_file success: 1 file_date_updated: 2018-03-14T14:14:21Z has_accepted_license: '1' page: 61-72 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 19th International Colloquium on Structural Information & Communication Complexity (SIROCCO) series_title: LNCS status: public title: An Algorithm for Facility Leasing type: conference user_id: '15504' year: '2012' ... --- _id: '638' author: - first_name: Fabian full_name: Eidens, Fabian id: '25078' last_name: Eidens citation: ama: Eidens F. Adaptive Verbindungsstrategien in dynamischen Suchnetzwerken. Universität Paderborn; 2012. apa: Eidens, F. (2012). Adaptive Verbindungsstrategien in dynamischen Suchnetzwerken. Universität Paderborn. bibtex: '@book{Eidens_2012, title={Adaptive Verbindungsstrategien in dynamischen Suchnetzwerken}, publisher={Universität Paderborn}, author={Eidens, Fabian}, year={2012} }' chicago: Eidens, Fabian. Adaptive Verbindungsstrategien in dynamischen Suchnetzwerken. Universität Paderborn, 2012. ieee: F. Eidens, Adaptive Verbindungsstrategien in dynamischen Suchnetzwerken. Universität Paderborn, 2012. mla: Eidens, Fabian. Adaptive Verbindungsstrategien in dynamischen Suchnetzwerken. Universität Paderborn, 2012. short: F. Eidens, Adaptive Verbindungsstrategien in dynamischen Suchnetzwerken, Universität Paderborn, 2012. date_created: 2017-10-17T12:42:56Z date_updated: 2022-01-06T07:03:03Z department: - _id: '63' language: - iso: ger project: - _id: '1' name: SFB 901 - _id: '5' name: SFB 901 - Subprojekt A1 - _id: '2' name: SFB 901 - Project Area A publisher: Universität Paderborn status: public title: Adaptive Verbindungsstrategien in dynamischen Suchnetzwerken type: bachelorsthesis user_id: '477' year: '2012' ... --- _id: '16445' author: - first_name: Barbara full_name: Kempkes, Barbara last_name: Kempkes - first_name: Friedhelm full_name: Meyer auf der Heide, Friedhelm id: '15523' last_name: Meyer auf der Heide citation: ama: 'Kempkes B, Meyer auf der Heide F. Continuous Local Strategies for Robotic Formation Problems. In: Experimental Algorithms. Berlin, Heidelberg; 2012. doi:10.1007/978-3-642-30850-5_2' apa: Kempkes, B., & Meyer auf der Heide, F. (2012). Continuous Local Strategies for Robotic Formation Problems. In Experimental Algorithms. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30850-5_2 bibtex: '@inbook{Kempkes_Meyer auf der Heide_2012, place={Berlin, Heidelberg}, title={Continuous Local Strategies for Robotic Formation Problems}, DOI={10.1007/978-3-642-30850-5_2}, booktitle={Experimental Algorithms}, author={Kempkes, Barbara and Meyer auf der Heide, Friedhelm}, year={2012} }' chicago: Kempkes, Barbara, and Friedhelm Meyer auf der Heide. “Continuous Local Strategies for Robotic Formation Problems.” In Experimental Algorithms. Berlin, Heidelberg, 2012. https://doi.org/10.1007/978-3-642-30850-5_2. ieee: B. Kempkes and F. Meyer auf der Heide, “Continuous Local Strategies for Robotic Formation Problems,” in Experimental Algorithms, Berlin, Heidelberg, 2012. mla: Kempkes, Barbara, and Friedhelm Meyer auf der Heide. “Continuous Local Strategies for Robotic Formation Problems.” Experimental Algorithms, 2012, doi:10.1007/978-3-642-30850-5_2. short: 'B. Kempkes, F. Meyer auf der Heide, in: Experimental Algorithms, Berlin, Heidelberg, 2012.' date_created: 2020-04-07T06:41:18Z date_updated: 2022-01-06T06:52:50Z department: - _id: '63' doi: 10.1007/978-3-642-30850-5_2 language: - iso: eng place: Berlin, Heidelberg publication: Experimental Algorithms publication_identifier: isbn: - '9783642308499' - '9783642308505' issn: - 0302-9743 - 1611-3349 publication_status: published status: public title: Continuous Local Strategies for Robotic Formation Problems type: book_chapter user_id: '15415' year: '2012' ... --- _id: '16446' author: - first_name: Barbara full_name: Kempkes, Barbara last_name: Kempkes - first_name: Peter full_name: Kling, Peter last_name: Kling - first_name: Friedhelm full_name: Meyer auf der Heide, Friedhelm id: '15523' last_name: Meyer auf der Heide citation: ama: 'Kempkes B, Kling P, Meyer auf der Heide F. Optimal and competitive runtime bounds for continuous, local gathering of mobile robots. In: Proceedinbgs of the 24th ACM Symposium on Parallelism in Algorithms and Architectures - SPAA ’12. ; 2012. doi:10.1145/2312005.2312009' apa: Kempkes, B., Kling, P., & Meyer auf der Heide, F. (2012). Optimal and competitive runtime bounds for continuous, local gathering of mobile robots. In Proceedinbgs of the 24th ACM symposium on Parallelism in algorithms and architectures - SPAA ’12. https://doi.org/10.1145/2312005.2312009 bibtex: '@inproceedings{Kempkes_Kling_Meyer auf der Heide_2012, title={Optimal and competitive runtime bounds for continuous, local gathering of mobile robots}, DOI={10.1145/2312005.2312009}, booktitle={Proceedinbgs of the 24th ACM symposium on Parallelism in algorithms and architectures - SPAA ’12}, author={Kempkes, Barbara and Kling, Peter and Meyer auf der Heide, Friedhelm}, year={2012} }' chicago: Kempkes, Barbara, Peter Kling, and Friedhelm Meyer auf der Heide. “Optimal and Competitive Runtime Bounds for Continuous, Local Gathering of Mobile Robots.” In Proceedinbgs of the 24th ACM Symposium on Parallelism in Algorithms and Architectures - SPAA ’12, 2012. https://doi.org/10.1145/2312005.2312009. ieee: B. Kempkes, P. Kling, and F. Meyer auf der Heide, “Optimal and competitive runtime bounds for continuous, local gathering of mobile robots,” in Proceedinbgs of the 24th ACM symposium on Parallelism in algorithms and architectures - SPAA ’12, 2012. mla: Kempkes, Barbara, et al. “Optimal and Competitive Runtime Bounds for Continuous, Local Gathering of Mobile Robots.” Proceedinbgs of the 24th ACM Symposium on Parallelism in Algorithms and Architectures - SPAA ’12, 2012, doi:10.1145/2312005.2312009. short: 'B. Kempkes, P. Kling, F. Meyer auf der Heide, in: Proceedinbgs of the 24th ACM Symposium on Parallelism in Algorithms and Architectures - SPAA ’12, 2012.' date_created: 2020-04-07T06:43:11Z date_updated: 2022-01-06T06:52:50Z department: - _id: '63' doi: 10.1145/2312005.2312009 language: - iso: eng publication: Proceedinbgs of the 24th ACM symposium on Parallelism in algorithms and architectures - SPAA '12 publication_identifier: isbn: - '9781450312134' publication_status: published status: public title: Optimal and competitive runtime bounds for continuous, local gathering of mobile robots type: conference user_id: '15415' year: '2012' ... --- _id: '16448' author: - first_name: Barbara full_name: Kempkes, Barbara last_name: Kempkes - first_name: Friedhelm full_name: Meyer auf der Heide, Friedhelm id: '15523' last_name: Meyer auf der Heide citation: ama: 'Kempkes B, Meyer auf der Heide F. Local, Self-organizing Strategies for Robotic Formation Problems. In: Algorithms for Sensor Systems. Berlin, Heidelberg; 2012. doi:10.1007/978-3-642-28209-6_2' apa: Kempkes, B., & Meyer auf der Heide, F. (2012). Local, Self-organizing Strategies for Robotic Formation Problems. In Algorithms for Sensor Systems. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28209-6_2 bibtex: '@inbook{Kempkes_Meyer auf der Heide_2012, place={Berlin, Heidelberg}, title={Local, Self-organizing Strategies for Robotic Formation Problems}, DOI={10.1007/978-3-642-28209-6_2}, booktitle={Algorithms for Sensor Systems}, author={Kempkes, Barbara and Meyer auf der Heide, Friedhelm}, year={2012} }' chicago: Kempkes, Barbara, and Friedhelm Meyer auf der Heide. “Local, Self-Organizing Strategies for Robotic Formation Problems.” In Algorithms for Sensor Systems. Berlin, Heidelberg, 2012. https://doi.org/10.1007/978-3-642-28209-6_2. ieee: B. Kempkes and F. Meyer auf der Heide, “Local, Self-organizing Strategies for Robotic Formation Problems,” in Algorithms for Sensor Systems, Berlin, Heidelberg, 2012. mla: Kempkes, Barbara, and Friedhelm Meyer auf der Heide. “Local, Self-Organizing Strategies for Robotic Formation Problems.” Algorithms for Sensor Systems, 2012, doi:10.1007/978-3-642-28209-6_2. short: 'B. Kempkes, F. Meyer auf der Heide, in: Algorithms for Sensor Systems, Berlin, Heidelberg, 2012.' date_created: 2020-04-07T06:51:14Z date_updated: 2022-01-06T06:52:50Z department: - _id: '63' doi: 10.1007/978-3-642-28209-6_2 language: - iso: eng place: Berlin, Heidelberg publication: Algorithms for Sensor Systems publication_identifier: isbn: - '9783642282089' - '9783642282096' issn: - 0302-9743 - 1611-3349 publication_status: published status: public title: Local, Self-organizing Strategies for Robotic Formation Problems type: book_chapter user_id: '15415' year: '2012' ...