[{"type":"mastersthesis","year":"2016","citation":{"bibtex":"@book{Schaefer_2016, title={Routing Algorithms on Delayed Networks for Disaster Management Support}, publisher={Universität Paderborn}, author={Schaefer, Johannes Sebastian}, year={2016} }","mla":"Schaefer, Johannes Sebastian. Routing Algorithms on Delayed Networks for Disaster Management Support. Universität Paderborn, 2016.","chicago":"Schaefer, Johannes Sebastian. Routing Algorithms on Delayed Networks for Disaster Management Support. Universität Paderborn, 2016.","ama":"Schaefer JS. Routing Algorithms on Delayed Networks for Disaster Management Support. Universität Paderborn; 2016.","apa":"Schaefer, J. S. (2016). Routing Algorithms on Delayed Networks for Disaster Management Support. Universität Paderborn.","ieee":"J. S. Schaefer, Routing Algorithms on Delayed Networks for Disaster Management Support. Universität Paderborn, 2016.","short":"J.S. Schaefer, Routing Algorithms on Delayed Networks for Disaster Management Support, Universität Paderborn, 2016."},"supervisor":[{"last_name":"Meyer auf der Heide","id":"15523","first_name":"Friedhelm","full_name":"Meyer auf der Heide, Friedhelm"}],"language":[{"iso":"eng"}],"date_updated":"2022-01-06T07:03:23Z","_id":"689","status":"public","date_created":"2017-11-14T06:51:37Z","project":[{"_id":"1","name":"SFB 901"},{"_id":"5","name":"SFB 901 - Subprojekt A1"},{"_id":"2","name":"SFB 901 - Project Area A"}],"author":[{"id":"30291","last_name":"Schaefer","full_name":"Schaefer, Johannes Sebastian","first_name":"Johannes Sebastian"}],"publisher":"Universität Paderborn","department":[{"_id":"63"}],"title":"Routing Algorithms on Delayed Networks for Disaster Management Support","user_id":"477"},{"publication":"arXiv:1602.03303","department":[{"_id":"63"}],"author":[{"full_name":"Cord-Landwehr, Andreas ","first_name":"Andreas ","last_name":"Cord-Landwehr"},{"last_name":"Fischer","id":"146","first_name":"Matthias","full_name":"Fischer, Matthias"},{"id":"37827","last_name":"Jung","full_name":"Jung, Daniel","first_name":"Daniel"},{"last_name":"Meyer auf der Heide","id":"15523","first_name":"Friedhelm","full_name":"Meyer auf der Heide, Friedhelm"}],"date_created":"2020-04-07T07:20:47Z","status":"public","external_id":{"arxiv":["1602.03303"]},"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 $\\mathcal{O}(n^2)$."}],"user_id":"15415","title":"Asymptotically Optimal Gathering on a Grid","language":[{"iso":"eng"}],"year":"2016","citation":{"ama":"Cord-Landwehr A, Fischer M, Jung D, Meyer auf der Heide F. Asymptotically Optimal Gathering on a Grid. arXiv:160203303. 2016.","apa":"Cord-Landwehr, A., Fischer, M., Jung, D., & Meyer auf der Heide, F. (2016). Asymptotically Optimal Gathering on a Grid. ArXiv:1602.03303.","chicago":"Cord-Landwehr, Andreas , Matthias Fischer, Daniel Jung, and Friedhelm Meyer auf der Heide. “Asymptotically Optimal Gathering on a Grid.” ArXiv:1602.03303, 2016.","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} }","mla":"Cord-Landwehr, Andreas, et al. “Asymptotically Optimal Gathering on a Grid.” ArXiv:1602.03303, 2016.","short":"A. Cord-Landwehr, M. Fischer, D. Jung, F. Meyer auf der Heide, ArXiv:1602.03303 (2016).","ieee":"A. Cord-Landwehr, M. Fischer, D. Jung, and F. Meyer auf der Heide, “Asymptotically Optimal Gathering on a Grid,” arXiv:1602.03303. 2016."},"type":"preprint","date_updated":"2022-01-06T06:52:50Z","_id":"16450"},{"series_title":"LNCS 9594","language":[{"iso":"eng"}],"date_updated":"2022-01-06T06:52:58Z","doi":"10.1007/978-3-319-30668-1_18","department":[{"_id":"66"},{"_id":"238"},{"_id":"63"}],"project":[{"_id":"1","name":"SFB 901"},{"_id":"9","name":"SFB 901 - Subprojekt B1"},{"name":"SFB 901 - Project Area B","_id":"3"}],"title":"Patterns for Constructing Mutation Operators: Limiting the Search Space in a Software Engineering Application","page":"278--293","citation":{"ieee":"T. Kühne, H. Hamann, S. Arifulina, and G. Engels, “Patterns for Constructing Mutation Operators: Limiting the Search Space in a Software Engineering Application,” in Proceedings of the 19th European Conference on Genetic Programming (EuroGP 2016), 2016, pp. 278--293.","short":"T. Kühne, H. Hamann, S. Arifulina, G. Engels, in: Proceedings of the 19th European Conference on Genetic Programming (EuroGP 2016), 2016, pp. 278--293.","bibtex":"@inproceedings{Kühne_Hamann_Arifulina_Engels_2016, series={LNCS 9594}, title={Patterns for Constructing Mutation Operators: Limiting the Search Space in a Software Engineering Application}, DOI={10.1007/978-3-319-30668-1_18}, booktitle={Proceedings of the 19th European Conference on Genetic Programming (EuroGP 2016)}, author={Kühne, Thomas and Hamann, Heiko and Arifulina, Svetlana and Engels, Gregor}, year={2016}, pages={278--293}, collection={LNCS 9594} }","mla":"Kühne, Thomas, et al. “Patterns for Constructing Mutation Operators: Limiting the Search Space in a Software Engineering Application.” Proceedings of the 19th European Conference on Genetic Programming (EuroGP 2016), 2016, pp. 278--293, doi:10.1007/978-3-319-30668-1_18.","chicago":"Kühne, Thomas, Heiko Hamann, Svetlana Arifulina, and Gregor Engels. “Patterns for Constructing Mutation Operators: Limiting the Search Space in a Software Engineering Application.” In Proceedings of the 19th European Conference on Genetic Programming (EuroGP 2016), 278--293. LNCS 9594, 2016. https://doi.org/10.1007/978-3-319-30668-1_18.","ama":"Kühne T, Hamann H, Arifulina S, Engels G. Patterns for Constructing Mutation Operators: Limiting the Search Space in a Software Engineering Application. In: Proceedings of the 19th European Conference on Genetic Programming (EuroGP 2016). LNCS 9594. ; 2016:278--293. doi:10.1007/978-3-319-30668-1_18","apa":"Kühne, T., Hamann, H., Arifulina, S., & Engels, G. (2016). Patterns for Constructing Mutation Operators: Limiting the Search Space in a Software Engineering Application. In Proceedings of the 19th European Conference on Genetic Programming (EuroGP 2016) (pp. 278--293). https://doi.org/10.1007/978-3-319-30668-1_18"},"type":"conference","year":"2016","_id":"169","file":[{"file_size":2069427,"file_id":"1540","creator":"florida","content_type":"application/pdf","date_updated":"2018-03-21T12:41:08Z","relation":"main_file","success":1,"date_created":"2018-03-21T12:41:08Z","file_name":"169-kuehne.pdf","access_level":"closed"}],"publication":"Proceedings of the 19th European Conference on Genetic Programming (EuroGP 2016)","file_date_updated":"2018-03-21T12:41:08Z","author":[{"full_name":"Kühne, Thomas","first_name":"Thomas","id":"49079","last_name":"Kühne"},{"full_name":"Hamann, Heiko","first_name":"Heiko","last_name":"Hamann"},{"last_name":"Arifulina","first_name":"Svetlana","full_name":"Arifulina, Svetlana"},{"last_name":"Engels","id":"107","first_name":"Gregor","full_name":"Engels, Gregor"}],"date_created":"2017-10-17T12:41:25Z","has_accepted_license":"1","status":"public","abstract":[{"text":"We apply methods of genetic programming to a general problem from software engineering, namely example-based generation of specifications. In particular, we focus on model transformation by example. The definition and implementation of model transformations is a task frequently carried out by domain experts, hence, a (semi-)automatic approach is desirable. This application is challenging because the underlying search space has rich semantics, is high-dimensional, and unstructured. Hence, a computationally brute-force approach would be unscalable and potentially infeasible. To address that problem, we develop a sophisticated approach of designing complex mutation operators. We define ‘patterns’ for constructing mutation operators and report a successful case study. Furthermore, the code of the evolved model transformation is required to have high maintainability and extensibility, that is, the code should be easily readable by domain experts. We report an evaluation of this approach in a software engineering case study.","lang":"eng"}],"user_id":"57458","ddc":["040"]},{"language":[{"iso":"ger"}],"supervisor":[{"id":"40384","last_name":"Skopalik","full_name":"Skopalik, Alexander","first_name":"Alexander"}],"citation":{"ama":"Handirk T. Über die Rolle von Informationen in Verkehrsnetzwerken. Universität Paderborn; 2016.","apa":"Handirk, T. (2016). Über die Rolle von Informationen in Verkehrsnetzwerken. Universität Paderborn.","chicago":"Handirk, Tobias. Über die Rolle von Informationen in Verkehrsnetzwerken. Universität Paderborn, 2016.","bibtex":"@book{Handirk_2016, title={Über die Rolle von Informationen in Verkehrsnetzwerken}, publisher={Universität Paderborn}, author={Handirk, Tobias}, year={2016} }","mla":"Handirk, Tobias. Über die Rolle von Informationen in Verkehrsnetzwerken. Universität Paderborn, 2016.","short":"T. Handirk, Über die Rolle von Informationen in Verkehrsnetzwerken, Universität Paderborn, 2016.","ieee":"T. Handirk, Über die Rolle von Informationen in Verkehrsnetzwerken. Universität Paderborn, 2016."},"year":"2016","type":"bachelorsthesis","_id":"1082","date_updated":"2022-01-06T06:50:51Z","publisher":"Universität Paderborn","author":[{"full_name":"Handirk, Tobias","first_name":"Tobias","last_name":"Handirk"}],"department":[{"_id":"63"},{"_id":"541"}],"status":"public","date_created":"2017-12-19T10:10:17Z","project":[{"_id":"1","name":"SFB 901"},{"name":"SFB 901 - Subproject A3","_id":"7"},{"name":"SFB 901 - Project Area A","_id":"2"}],"user_id":"14052","title":"Über die Rolle von Informationen in Verkehrsnetzwerken"},{"intvolume":" 353","_id":"154","supervisor":[{"id":"15523","last_name":"Meyer auf der Heide","full_name":"Meyer auf der Heide, Friedhelm","first_name":"Friedhelm"}],"citation":{"bibtex":"@book{Cord-Landwehr_2016, series={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn}, title={Selfish Network Creation - On Variants of Network Creation Games}, volume={353}, publisher={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn}, author={Cord-Landwehr, Andreas}, year={2016}, collection={Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn} }","mla":"Cord-Landwehr, Andreas. Selfish Network Creation - On Variants of Network Creation Games. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2016.","ama":"Cord-Landwehr A. Selfish Network Creation - On Variants of Network Creation Games. Vol 353. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn; 2016.","apa":"Cord-Landwehr, A. (2016). Selfish Network Creation - On Variants of Network Creation Games (Vol. 353). Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn.","chicago":"Cord-Landwehr, Andreas. Selfish Network Creation - On Variants of Network Creation Games. Vol. 353. Verlagsschriftenreihe Des Heinz Nixdorf Instituts, Paderborn. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2016.","ieee":"A. Cord-Landwehr, Selfish Network Creation - On Variants of Network Creation Games, vol. 353. Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2016.","short":"A. Cord-Landwehr, Selfish Network Creation - On Variants of Network Creation Games, Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn, 2016."},"year":"2016","type":"dissertation","user_id":"5786","ddc":["040"],"has_accepted_license":"1","status":"public","date_created":"2017-10-17T12:41:22Z","volume":353,"file":[{"file_size":800101,"creator":"florida","file_id":"1551","date_updated":"2018-03-21T12:52:03Z","content_type":"application/pdf","success":1,"relation":"main_file","date_created":"2018-03-21T12:52:03Z","file_name":"154-dissertation.pdf","access_level":"closed"}],"publisher":"Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn","author":[{"last_name":"Cord-Landwehr","first_name":"Andreas","full_name":"Cord-Landwehr, Andreas"}],"file_date_updated":"2018-03-21T12:52:03Z","date_updated":"2022-01-06T06:52:23Z","language":[{"iso":"eng"}],"series_title":"Verlagsschriftenreihe des Heinz Nixdorf Instituts, Paderborn","related_material":{"link":[{"url":"http://nbn-resolving.de/urn:nbn:de:hbz:466:2-24089","relation":"confirmation"}]},"title":"Selfish Network Creation - On Variants of Network Creation Games","project":[{"_id":"1","name":"SFB 901"},{"_id":"5","name":"SFB 901 - Subprojekt A1"},{"_id":"2","name":"SFB 901 - Project Area A"}],"publication_identifier":{"isbn":["978-3-942647-72-4"]},"department":[{"_id":"63"},{"_id":"26"}]},{"_id":"157","year":"2016","type":"conference","citation":{"mla":"König, Jürgen, et al. “Scheduling with Interjob Communication on Parallel Processors.” Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA), 2016, pp. 563--577, doi:10.1007/978-3-319-48749-6_41.","bibtex":"@inproceedings{König_Mäcker_Meyer auf der Heide_Riechers_2016, series={LNCS}, title={Scheduling with Interjob Communication on Parallel Processors}, DOI={10.1007/978-3-319-48749-6_41}, 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 Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA), 563--577. LNCS, 2016. https://doi.org/10.1007/978-3-319-48749-6_41.","apa":"König, J., Mäcker, A., Meyer auf der Heide, F., & Riechers, S. (2016). Scheduling with Interjob Communication on Parallel Processors. In Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA) (pp. 563--577). https://doi.org/10.1007/978-3-319-48749-6_41","ama":"König J, Mäcker A, Meyer auf der Heide F, Riechers S. Scheduling with Interjob Communication on Parallel Processors. In: Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA). LNCS. ; 2016:563--577. doi:10.1007/978-3-319-48749-6_41","ieee":"J. König, A. Mäcker, F. Meyer auf der Heide, and S. Riechers, “Scheduling with Interjob Communication on Parallel Processors,” in Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA), 2016, pp. 563--577.","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."},"page":"563--577","abstract":[{"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.","lang":"eng"}],"user_id":"15504","ddc":["040"],"file":[{"date_updated":"2018-03-21T12:50:29Z","content_type":"application/pdf","success":1,"relation":"main_file","file_size":753147,"file_id":"1549","creator":"florida","access_level":"closed","date_created":"2018-03-21T12:50:29Z","file_name":"157-chp_3A10.1007_2F978-3-319-48749-6_41.pdf"}],"author":[{"first_name":"Jürgen","full_name":"König, Jürgen","last_name":"König"},{"last_name":"Mäcker","id":"13536","first_name":"Alexander","full_name":"Mäcker, Alexander"},{"full_name":"Meyer auf der Heide, Friedhelm","first_name":"Friedhelm","id":"15523","last_name":"Meyer auf der Heide"},{"last_name":"Riechers","full_name":"Riechers, Sören","first_name":"Sören"}],"file_date_updated":"2018-03-21T12:50:29Z","publication":"Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA)","has_accepted_license":"1","status":"public","date_created":"2017-10-17T12:41:22Z","date_updated":"2022-01-06T06:52:32Z","doi":"10.1007/978-3-319-48749-6_41","series_title":"LNCS","title":"Scheduling with Interjob Communication on Parallel Processors","department":[{"_id":"63"}],"project":[{"_id":"1","name":"SFB 901"},{"name":"SFB 901 - Subprojekt C4","_id":"16"},{"_id":"4","name":"SFB 901 - Project Area C"}]},{"page":"2553 - 2562","type":"journal_article","citation":{"mla":"Harks, Tobias, et al. “Routing Games With Progressive Filling.” IEEE/ACM Transactions on Networking, no. 4, IEEE, 2016, pp. 2553–62, doi:10.1109/TNET.2015.2468571.","bibtex":"@article{Harks_Höfer_Schewior_Skopalik_2016, title={Routing Games With Progressive Filling}, DOI={10.1109/TNET.2015.2468571}, number={4}, journal={IEEE/ACM Transactions on Networking}, publisher={IEEE}, author={Harks, Tobias and Höfer, Martin and Schewior, Kevin and Skopalik, Alexander}, year={2016}, pages={2553–2562} }","chicago":"Harks, Tobias, Martin Höfer, Kevin Schewior, and Alexander Skopalik. “Routing Games With Progressive Filling.” IEEE/ACM Transactions on Networking, no. 4 (2016): 2553–62. https://doi.org/10.1109/TNET.2015.2468571.","apa":"Harks, T., Höfer, M., Schewior, K., & Skopalik, A. (2016). Routing Games With Progressive Filling. IEEE/ACM Transactions on Networking, (4), 2553–2562. https://doi.org/10.1109/TNET.2015.2468571","ama":"Harks T, Höfer M, Schewior K, Skopalik A. Routing Games With Progressive Filling. IEEE/ACM Transactions on Networking. 2016;(4):2553-2562. doi:10.1109/TNET.2015.2468571","ieee":"T. Harks, M. Höfer, K. Schewior, and A. Skopalik, “Routing Games With Progressive Filling,” IEEE/ACM Transactions on Networking, no. 4, pp. 2553–2562, 2016.","short":"T. Harks, M. Höfer, K. Schewior, A. Skopalik, IEEE/ACM Transactions on Networking (2016) 2553–2562."},"year":"2016","_id":"159","issue":"4","file":[{"access_level":"closed","file_name":"159-Harks-Hoefer-Schewior-Skopalik2016.pdf","date_created":"2018-03-21T12:48:02Z","success":1,"relation":"main_file","content_type":"application/pdf","date_updated":"2018-03-21T12:48:02Z","creator":"florida","file_id":"1547","file_size":1655309}],"file_date_updated":"2018-03-21T12:48:02Z","publication":"IEEE/ACM Transactions on Networking","publisher":"IEEE","author":[{"first_name":"Tobias","full_name":"Harks, Tobias","last_name":"Harks"},{"last_name":"Höfer","full_name":"Höfer, Martin","first_name":"Martin"},{"last_name":"Schewior","full_name":"Schewior, Kevin","first_name":"Kevin"},{"full_name":"Skopalik, Alexander","first_name":"Alexander","id":"40384","last_name":"Skopalik"}],"date_created":"2017-10-17T12:41:23Z","status":"public","has_accepted_license":"1","abstract":[{"lang":"eng","text":"Abstract—Max-min fairness (MMF) is a widely known approachto a fair allocation of bandwidth to each of the usersin a network. This allocation can be computed by uniformlyraising the bandwidths of all users without violating capacityconstraints. We consider an extension of these allocations byraising the bandwidth with arbitrary and not necessarily uniformtime-depending velocities (allocation rates). These allocationsare used in a game-theoretic context for routing choices, whichwe formalize in progressive filling games (PFGs). We present avariety of results for equilibria in PFGs. We show that these gamespossess pure Nash and strong equilibria. While computation ingeneral is NP-hard, there are polynomial-time algorithms forprominent classes of Max-Min-Fair Games (MMFG), includingthe case when all users have the same source-destination pair.We characterize prices of anarchy and stability for pure Nashand strong equilibria in PFGs and MMFGs when players havedifferent or the same source-destination pairs. In addition, weshow that when a designer can adjust allocation rates, it is possibleto design games with optimal strong equilibria. Some initial resultson polynomial-time algorithms in this direction are also derived."}],"user_id":"477","ddc":["040"],"language":[{"iso":"eng"}],"date_updated":"2022-01-06T06:52:40Z","doi":"10.1109/TNET.2015.2468571","department":[{"_id":"63"},{"_id":"541"}],"project":[{"_id":"1","name":"SFB 901"},{"name":"SFB 901 - Subprojekt A3","_id":"7"},{"name":"SFB 901 - Project Area A","_id":"2"}],"title":"Routing Games With Progressive Filling"},{"_id":"149","citation":{"short":"M. Drees, B. Feldkord, A. Skopalik, in: Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA), 2016, pp. 593--607.","ieee":"M. Drees, B. Feldkord, and A. Skopalik, “Strategic Online Facility Location,” in Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA), 2016, pp. 593--607.","chicago":"Drees, Maximilian, Björn Feldkord, and Alexander Skopalik. “Strategic Online Facility Location.” In Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA), 593--607. LNCS, 2016. https://doi.org/10.1007/978-3-319-48749-6_43.","apa":"Drees, M., Feldkord, B., & Skopalik, A. (2016). Strategic Online Facility Location. In Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA) (pp. 593--607). https://doi.org/10.1007/978-3-319-48749-6_43","ama":"Drees M, Feldkord B, Skopalik A. Strategic Online Facility Location. In: Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA). LNCS. ; 2016:593--607. doi:10.1007/978-3-319-48749-6_43","mla":"Drees, Maximilian, et al. “Strategic Online Facility Location.” Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA), 2016, pp. 593--607, doi:10.1007/978-3-319-48749-6_43.","bibtex":"@inproceedings{Drees_Feldkord_Skopalik_2016, series={LNCS}, title={Strategic Online Facility Location}, DOI={10.1007/978-3-319-48749-6_43}, booktitle={Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA)}, author={Drees, Maximilian and Feldkord, Björn and Skopalik, Alexander}, year={2016}, pages={593--607}, collection={LNCS} }"},"year":"2016","type":"conference","page":"593--607","abstract":[{"text":"In this paper we consider a strategic variant of the online facility location problem. Given is a graph in which each node serves two roles: it is a strategic client stating requests as well as a potential location for a facility. In each time step one client states a request which induces private costs equal to the distance to the closest facility. Before serving, the clients may collectively decide to open new facilities, sharing the corresponding price. Instead of optimizing the global costs, each client acts selfishly. The prices of new facilities vary between nodes and also change over time, but are always bounded by some fixed value α. Both the requests as well as the facility prices are given by an online sequence and are not known in advance.We characterize the optimal strategies of the clients and analyze their overall performance in comparison to a centralized offline solution. If all players optimize their own competitiveness, the global performance of the system is O(√α⋅α) times worse than the offline optimum. A restriction to a natural subclass of strategies improves this result to O(α). We also show that for fixed facility costs, we can find strategies such that this bound further improves to O(√α).","lang":"eng"}],"ddc":["040"],"user_id":"477","author":[{"last_name":"Drees","first_name":"Maximilian","full_name":"Drees, Maximilian"},{"last_name":"Feldkord","id":"22704","first_name":"Björn","full_name":"Feldkord, Björn"},{"full_name":"Skopalik, Alexander","first_name":"Alexander","id":"40384","last_name":"Skopalik"}],"publication":"Proceedings of the 10th Annual International Conference on Combinatorial Optimization and Applications (COCOA)","file_date_updated":"2018-03-21T12:55:43Z","file":[{"creator":"florida","file_id":"1553","file_size":236253,"relation":"main_file","success":1,"content_type":"application/pdf","date_updated":"2018-03-21T12:55:43Z","file_name":"149-chp_3A10.1007_2F978-3-319-48749-6_43.pdf","date_created":"2018-03-21T12:55:43Z","access_level":"closed"}],"has_accepted_license":"1","status":"public","date_created":"2017-10-17T12:41:21Z","date_updated":"2022-01-06T06:52:10Z","doi":"10.1007/978-3-319-48749-6_43","series_title":"LNCS","language":[{"iso":"eng"}],"title":"Strategic Online Facility Location","department":[{"_id":"63"},{"_id":"541"}],"project":[{"name":"SFB 901","_id":"1"},{"name":"SFB 901 - Subprojekt A1","_id":"5"},{"_id":"7","name":"SFB 901 - Subproject A3"},{"name":"SFB 901 - Project Area A","_id":"2"}]},{"department":[{"_id":"63"}],"publisher":"ACM","editor":[{"first_name":"Falko","full_name":"Dressler, Falko","last_name":"Dressler"},{"id":"15523","last_name":"Meyer auf der Heide","full_name":"Meyer auf der Heide, Friedhelm","first_name":"Friedhelm"}],"date_created":"2017-10-17T12:41:23Z","project":[{"_id":"1","name":"SFB 901"},{"name":"SFB 901 - Subprojekt C4","_id":"16"},{"name":"SFB 901 - Project Area C","_id":"4"}],"status":"public","title":"Proceedings of the 17th ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc)","user_id":"15504","year":"2016","citation":{"chicago":"Dressler, Falko, and Friedhelm Meyer auf der Heide, eds. Proceedings of the 17th ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc). ACM, 2016. https://doi.org/10.1145/2942358.","ama":"Dressler F, Meyer auf der Heide F, eds. Proceedings of the 17th ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc). ACM; 2016. doi:10.1145/2942358","apa":"Dressler, F., & Meyer auf der Heide, F. (Eds.). (2016). Proceedings of the 17th ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc). Presented at the MobiHoc, Paderborn, Germany: ACM. https://doi.org/10.1145/2942358","mla":"Dressler, Falko, and Friedhelm Meyer auf der Heide, editors. Proceedings of the 17th ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc). ACM, 2016, doi:10.1145/2942358.","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={10.1145/2942358}, publisher={ACM}, year={2016} }","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.","ieee":"F. Dressler and F. Meyer auf der Heide, Eds., Proceedings of the 17th ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc). ACM, 2016."},"type":"conference_editor","conference":{"end_date":"2016-07-08","start_date":"2016-07-04","name":"MobiHoc","location":"Paderborn, Germany"},"date_updated":"2022-01-06T06:52:48Z","_id":"163","doi":"10.1145/2942358"},{"department":[{"_id":"63"}],"editor":[{"last_name":"Kliemann","first_name":"Lasse","full_name":"Kliemann, Lasse"},{"first_name":"Peter","full_name":"Sanders, Peter","last_name":"Sanders"}],"title":"Algorithm Engineering Aspects of Real-Time Rendering Algorithms","series_title":"LNCS","language":[{"iso":"eng"}],"date_updated":"2022-01-06T06:52:49Z","doi":"10.1007/978-3-319-49487-6_7 ","publication":"Algorithm Engineering","author":[{"id":"146","last_name":"Fischer","full_name":"Fischer, Matthias","first_name":"Matthias"},{"last_name":"Jähn","full_name":"Jähn, Claudius","first_name":"Claudius"},{"full_name":"Meyer auf der Heide, Friedhelm","first_name":"Friedhelm","id":"15523","last_name":"Meyer auf der Heide"},{"last_name":"Petring","first_name":"Ralf","full_name":"Petring, Ralf"}],"publisher":"Springer","date_created":"2020-03-30T10:21:53Z","status":"public","volume":9220,"abstract":[{"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","lang":"eng"}],"user_id":"15415","page":"226-244","year":"2016","type":"conference","citation":{"ieee":"M. Fischer, C. Jähn, F. Meyer auf der Heide, and R. Petring, “Algorithm Engineering Aspects of Real-Time Rendering Algorithms,” in Algorithm Engineering, 2016, vol. 9220, pp. 226–244.","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.","mla":"Fischer, Matthias, et al. “Algorithm Engineering Aspects of Real-Time Rendering Algorithms.” Algorithm Engineering, edited by Lasse Kliemann and Peter Sanders, vol. 9220, Springer, 2016, pp. 226–44, doi:10.1007/978-3-319-49487-6_7 .","bibtex":"@inproceedings{Fischer_Jähn_Meyer auf der Heide_Petring_2016, series={LNCS}, title={Algorithm Engineering Aspects of Real-Time Rendering Algorithms}, volume={9220}, DOI={10.1007/978-3-319-49487-6_7 }, 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 Algorithm Engineering, edited by Lasse Kliemann and Peter Sanders, 9220:226–44. LNCS. Springer, 2016. https://doi.org/10.1007/978-3-319-49487-6_7 .","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. Algorithm Engineering. Vol 9220. LNCS. Springer; 2016:226-244. doi:10.1007/978-3-319-49487-6_7 ","apa":"Fischer, M., Jähn, C., Meyer auf der Heide, F., & Petring, R. (2016). Algorithm Engineering Aspects of Real-Time Rendering Algorithms. In L. Kliemann & P. Sanders (Eds.), Algorithm Engineering (Vol. 9220, pp. 226–244). Springer. https://doi.org/10.1007/978-3-319-49487-6_7 "},"intvolume":" 9220","_id":"16351"},{"language":[{"iso":"eng"}],"type":"conference","citation":{"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={10.1007/978-3-319-53058-1_5 }, 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} }","mla":"Li, Shouwei, et al. “The Impact of the Gabriel Subgraph of the Visibility Graph on the Gathering of Mobile Autonomous Robots.” Algorithms for Sensor Systems, Proceedings of the 12th International Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS), Springer, 2016, doi:10.1007/978-3-319-53058-1_5 .","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 Algorithms for Sensor Systems, Proceedings of the 12th International Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS). Springer, 2016. https://doi.org/10.1007/978-3-319-53058-1_5 .","apa":"Li, S., Meyer auf der Heide, F., & Podlipyan, P. (2016). The impact of the Gabriel subgraph of the visibility graph on the gathering of mobile autonomous robots. In Algorithms for Sensor Systems, Proceedings of the 12th International Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS). Springer. https://doi.org/10.1007/978-3-319-53058-1_5 ","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: Algorithms for Sensor Systems, Proceedings of the 12th International Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS). Springer; 2016. doi:10.1007/978-3-319-53058-1_5 ","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 Algorithms for Sensor Systems, Proceedings of the 12th International Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS), 2016.","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."},"year":"2016","date_updated":"2022-01-06T06:52:49Z","_id":"16358","doi":"10.1007/978-3-319-53058-1_5 ","author":[{"last_name":"Li","full_name":"Li, Shouwei","first_name":"Shouwei"},{"first_name":"Friedhelm","full_name":"Meyer auf der Heide, Friedhelm","last_name":"Meyer auf der Heide","id":"15523"},{"full_name":"Podlipyan, Pavel","first_name":"Pavel","last_name":"Podlipyan"}],"publisher":"Springer","publication":"Algorithms for Sensor Systems, Proceedings of the 12th International Symposium on Algorithms and Experiments for Wireless Sensor Networks (ALGOSENSORS)","department":[{"_id":"63"}],"status":"public","date_created":"2020-04-01T12:28:09Z","user_id":"15415","title":"The impact of the Gabriel subgraph of the visibility graph on the gathering of mobile autonomous robots"},{"year":"2016","type":"conference","citation":{"bibtex":"@inproceedings{Cord-Landwehr_Fischer_Jung_Meyer auf der Heide_2016, title={Asymptotically Optimal Gathering on a Grid}, DOI={10.1145/2935764.2935789}, 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} }","mla":"Cord-Landwehr, Andreas, et al. “Asymptotically Optimal Gathering on a Grid.” Proceedings of the 28th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), ACM, 2016, pp. 301–12, doi:10.1145/2935764.2935789.","chicago":"Cord-Landwehr, Andreas, Matthias Fischer, Daniel Jung, and Friedhelm Meyer auf der Heide. “Asymptotically Optimal Gathering on a Grid.” In Proceedings of the 28th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), 301–12. ACM, 2016. https://doi.org/10.1145/2935764.2935789.","apa":"Cord-Landwehr, A., Fischer, M., Jung, D., & Meyer auf der Heide, F. (2016). Asymptotically Optimal Gathering on a Grid. In Proceedings of the 28th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA) (pp. 301–312). ACM. https://doi.org/10.1145/2935764.2935789","ama":"Cord-Landwehr A, Fischer M, Jung D, Meyer auf der Heide F. Asymptotically Optimal Gathering on a Grid. In: Proceedings of the 28th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA). ACM; 2016:301-312. doi:10.1145/2935764.2935789","ieee":"A. Cord-Landwehr, M. Fischer, D. Jung, and F. Meyer auf der Heide, “Asymptotically Optimal Gathering on a Grid,” in Proceedings of the 28th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), 2016, pp. 301–312.","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."},"page":"301-312","language":[{"iso":"eng"}],"doi":"10.1145/2935764.2935789","date_updated":"2022-01-06T06:52:49Z","_id":"16359","status":"public","date_created":"2020-04-01T12:46:35Z","publisher":"ACM","author":[{"last_name":"Cord-Landwehr","first_name":"Andreas","full_name":"Cord-Landwehr, Andreas"},{"first_name":"Matthias","full_name":"Fischer, Matthias","last_name":"Fischer","id":"146"},{"first_name":"Daniel","full_name":"Jung, Daniel","last_name":"Jung","id":"37827"},{"last_name":"Meyer auf der Heide","id":"15523","first_name":"Friedhelm","full_name":"Meyer auf der Heide, Friedhelm"}],"publication":"Proceedings of the 28th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA)","department":[{"_id":"63"}],"title":"Asymptotically Optimal Gathering on a Grid","user_id":"15415","abstract":[{"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).","lang":"eng"}]},{"status":"public","date_created":"2020-04-01T12:56:43Z","author":[{"first_name":"Sebastian","full_name":"Abshoff, Sebastian","last_name":"Abshoff"},{"full_name":"Cord-Landwehr, Andreas","first_name":"Andreas","last_name":"Cord-Landwehr"},{"full_name":"Fischer, Matthias","first_name":"Matthias","id":"146","last_name":"Fischer"},{"full_name":"Jung, Daniel","first_name":"Daniel","id":"37827","last_name":"Jung"},{"last_name":"Meyer auf der Heide","id":"15523","first_name":"Friedhelm","full_name":"Meyer auf der Heide, Friedhelm"}],"publisher":"IEEE","department":[{"_id":"63"}],"publication":"Proceedings of the 30th International Parallel and Distributed Processing Symposium (IPDPS)","user_id":"15415","title":"Gathering a Closed Chain of Robots on a Grid","abstract":[{"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. ","lang":"eng"}],"language":[{"iso":"eng"}],"citation":{"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 Proceedings of the 30th International Parallel and Distributed Processing Symposium (IPDPS), 2016, pp. 689–699.","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.","mla":"Abshoff, Sebastian, et al. “Gathering a Closed Chain of Robots on a Grid.” Proceedings of the 30th International Parallel and Distributed Processing Symposium (IPDPS), IEEE, 2016, pp. 689–99, doi:10.1109/IPDPS.2016.51.","bibtex":"@inproceedings{Abshoff_Cord-Landwehr_Fischer_Jung_Meyer auf der Heide_2016, title={Gathering a Closed Chain of Robots on a Grid}, DOI={10.1109/IPDPS.2016.51}, 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} }","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: Proceedings of the 30th International Parallel and Distributed Processing Symposium (IPDPS). IEEE; 2016:689-699. doi:10.1109/IPDPS.2016.51","apa":"Abshoff, S., Cord-Landwehr, A., Fischer, M., Jung, D., & Meyer auf der Heide, F. (2016). Gathering a Closed Chain of Robots on a Grid. In Proceedings of the 30th International Parallel and Distributed Processing Symposium (IPDPS) (pp. 689–699). IEEE. https://doi.org/10.1109/IPDPS.2016.51","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 Proceedings of the 30th International Parallel and Distributed Processing Symposium (IPDPS), 689–99. IEEE, 2016. https://doi.org/10.1109/IPDPS.2016.51."},"year":"2016","type":"conference","page":"689-699","doi":"10.1109/IPDPS.2016.51","date_updated":"2022-01-06T06:52:49Z","_id":"16360"},{"title":"On Competitive Algorithms for Approximations of Top-k-Position Monitoring of Distributed Streams","user_id":"15415","department":[{"_id":"63"}],"publication":"2016 IEEE International Parallel and Distributed Processing Symposium (IPDPS)","author":[{"first_name":"Alexander","full_name":"Macker, Alexander","last_name":"Macker"},{"full_name":"Malatyali, Manuel","first_name":"Manuel","last_name":"Malatyali"},{"id":"15523","last_name":"Meyer auf der Heide","full_name":"Meyer auf der Heide, Friedhelm","first_name":"Friedhelm"}],"publication_status":"published","publication_identifier":{"isbn":["9781509021406"]},"date_created":"2020-04-02T10:14:25Z","status":"public","date_updated":"2022-01-06T06:52:49Z","_id":"16364","doi":"10.1109/ipdps.2016.91","type":"conference","citation":{"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 2016 IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2016. https://doi.org/10.1109/ipdps.2016.91.","apa":"Macker, A., Malatyali, M., & Meyer auf der Heide, F. (2016). On Competitive Algorithms for Approximations of Top-k-Position Monitoring of Distributed Streams. In 2016 IEEE International Parallel and Distributed Processing Symposium (IPDPS). https://doi.org/10.1109/ipdps.2016.91","ama":"Macker A, Malatyali M, Meyer auf der Heide F. On Competitive Algorithms for Approximations of Top-k-Position Monitoring of Distributed Streams. In: 2016 IEEE International Parallel and Distributed Processing Symposium (IPDPS). ; 2016. doi:10.1109/ipdps.2016.91","bibtex":"@inproceedings{Macker_Malatyali_Meyer auf der Heide_2016, title={On Competitive Algorithms for Approximations of Top-k-Position Monitoring of Distributed Streams}, DOI={10.1109/ipdps.2016.91}, booktitle={2016 IEEE International Parallel and Distributed Processing Symposium (IPDPS)}, author={Macker, Alexander and Malatyali, Manuel and Meyer auf der Heide, Friedhelm}, year={2016} }","mla":"Macker, Alexander, et al. “On Competitive Algorithms for Approximations of Top-k-Position Monitoring of Distributed Streams.” 2016 IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2016, doi:10.1109/ipdps.2016.91.","short":"A. Macker, M. Malatyali, F. Meyer auf der Heide, in: 2016 IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2016.","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 2016 IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2016."},"year":"2016","language":[{"iso":"eng"}]},{"_id":"16396","date_updated":"2022-01-06T06:52:50Z","language":[{"iso":"eng"}],"type":"preprint","citation":{"short":"A. Mäcker, M. Malatyali, F. Meyer auf der Heide, S. Riechers, ArXiv:1609.01184 (2016).","ieee":"A. Mäcker, M. Malatyali, F. Meyer auf der Heide, and S. Riechers, “Cost-efficient Scheduling on Machines from the Cloud,” arXiv:1609.01184. 2016.","ama":"Mäcker A, Malatyali M, Meyer auf der Heide F, Riechers S. Cost-efficient Scheduling on Machines from the Cloud. arXiv:160901184. 2016.","apa":"Mäcker, A., Malatyali, M., Meyer auf der Heide, F., & Riechers, S. (2016). Cost-efficient Scheduling on Machines from the Cloud. ArXiv:1609.01184.","chicago":"Mäcker, Alexander, Manuel Malatyali, Friedhelm Meyer auf der Heide, and Sören Riechers. “Cost-Efficient Scheduling on Machines from the Cloud.” ArXiv:1609.01184, 2016.","mla":"Mäcker, Alexander, et al. “Cost-Efficient Scheduling on Machines from the Cloud.” ArXiv:1609.01184, 2016.","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} }"},"year":"2016","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$\\Omega(\\frac{c}{\\varepsilon})$."}],"external_id":{"arxiv":["1609.01184"]},"user_id":"15415","title":"Cost-efficient Scheduling on Machines from the Cloud","author":[{"last_name":"Mäcker","id":"13536","first_name":"Alexander","full_name":"Mäcker, Alexander"},{"full_name":"Malatyali, Manuel","first_name":"Manuel","last_name":"Malatyali"},{"id":"15523","last_name":"Meyer auf der Heide","full_name":"Meyer auf der Heide, Friedhelm","first_name":"Friedhelm"},{"first_name":"Sören","full_name":"Riechers, Sören","last_name":"Riechers"}],"department":[{"_id":"63"}],"publication":"arXiv:1609.01184","status":"public","date_created":"2020-04-03T09:24:28Z"},{"page":" 1197--1216","citation":{"short":"S. Abshoff, P. Kling, C. Markarian, F. Meyer auf der Heide, P. Pietrzyk, Journal of Combinatorial Optimization (2016) 1197--1216.","ieee":"S. Abshoff, P. Kling, C. Markarian, F. Meyer auf der Heide, and P. Pietrzyk, “Towards the price of leasing online,” Journal of Combinatorial Optimization, no. 4, pp. 1197--1216, 2016.","apa":"Abshoff, S., Kling, P., Markarian, C., Meyer auf der Heide, F., & Pietrzyk, P. (2016). Towards the price of leasing online. Journal of Combinatorial Optimization, (4), 1197--1216. https://doi.org/10.1007/s10878-015-9915-5","ama":"Abshoff S, Kling P, Markarian C, Meyer auf der Heide F, Pietrzyk P. Towards the price of leasing online. Journal of Combinatorial Optimization. 2016;(4):1197--1216. doi:10.1007/s10878-015-9915-5","chicago":"Abshoff, Sebastian, Peter Kling, Christine Markarian, Friedhelm Meyer auf der Heide, and Peter Pietrzyk. “Towards the Price of Leasing Online.” Journal of Combinatorial Optimization, no. 4 (2016): 1197--1216. https://doi.org/10.1007/s10878-015-9915-5.","bibtex":"@article{Abshoff_Kling_Markarian_Meyer auf der Heide_Pietrzyk_2016, title={Towards the price of leasing online}, DOI={10.1007/s10878-015-9915-5}, 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} }","mla":"Abshoff, Sebastian, et al. “Towards the Price of Leasing Online.” Journal of Combinatorial Optimization, no. 4, Springer, 2016, pp. 1197--1216, doi:10.1007/s10878-015-9915-5."},"type":"journal_article","year":"2016","_id":"139","issue":"4","file_date_updated":"2018-11-02T15:57:25Z","publication":"Journal of Combinatorial Optimization","publisher":"Springer","author":[{"last_name":"Abshoff","first_name":"Sebastian","full_name":"Abshoff, Sebastian"},{"full_name":"Kling, Peter","first_name":"Peter","last_name":"Kling"},{"last_name":"Markarian","id":"37612","first_name":"Christine","full_name":"Markarian, Christine"},{"full_name":"Meyer auf der Heide, Friedhelm","first_name":"Friedhelm","id":"15523","last_name":"Meyer auf der Heide"},{"full_name":"Pietrzyk, Peter ","first_name":"Peter ","last_name":"Pietrzyk"}],"file":[{"access_level":"closed","date_created":"2018-11-02T15:57:25Z","file_name":"Abshoff-TowardsThePriceOfLeasingOnline.pdf","date_updated":"2018-11-02T15:57:25Z","content_type":"application/pdf","relation":"main_file","success":1,"file_size":654903,"file_id":"5318","creator":"ups"}],"date_created":"2017-10-17T12:41:18Z","has_accepted_license":"1","status":"public","abstract":[{"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).","lang":"eng"}],"ddc":["000"],"user_id":"477","language":[{"iso":"eng"}],"date_updated":"2022-01-06T06:51:46Z","doi":"10.1007/s10878-015-9915-5","department":[{"_id":"63"}],"project":[{"name":"SFB 901","_id":"1"},{"_id":"5","name":"SFB 901 - Subprojekt A1"},{"name":"SFB 901 - Subprojekt C4","_id":"16"},{"_id":"2","name":"SFB 901 - Project Area A"},{"name":"SFB 901 - Project Area C","_id":"4"}],"title":"Towards the price of leasing online"},{"page":"92-102","type":"conference","year":"2016","citation":{"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={10.1007/978-3-319-42634-1_8}, 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} }","mla":"Abu-Khzam, Faisal N., et al. “The Monotone Circuit Value Problem with Bounded Genus Is in NC.” Proceedings of the 22nd International Conference on Computing and Combinatorics (COCOON), 2016, pp. 92–102, doi:10.1007/978-3-319-42634-1_8.","apa":"Abu-Khzam, F. N., Li, S., Markarian, C., Meyer auf der Heide, F., & Podlipyan, P. (2016). The Monotone Circuit Value Problem with Bounded Genus Is in NC. In Proceedings of the 22nd International Conference on Computing and Combinatorics (COCOON) (pp. 92–102). https://doi.org/10.1007/978-3-319-42634-1_8","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: Proceedings of the 22nd International Conference on Computing and Combinatorics (COCOON). LNCS. ; 2016:92-102. doi:10.1007/978-3-319-42634-1_8","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 Proceedings of the 22nd International Conference on Computing and Combinatorics (COCOON), 92–102. LNCS, 2016. https://doi.org/10.1007/978-3-319-42634-1_8.","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 Proceedings of the 22nd International Conference on Computing and Combinatorics (COCOON), 2016, pp. 92–102.","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."},"_id":"143","date_created":"2017-10-17T12:41:19Z","status":"public","has_accepted_license":"1","file":[{"file_name":"TheMonotoneCircuitValueProblem.pdf","date_created":"2018-11-02T14:20:45Z","access_level":"closed","file_id":"5269","creator":"ups","file_size":234587,"relation":"main_file","success":1,"date_updated":"2018-11-02T14:20:45Z","content_type":"application/pdf"}],"publication":"Proceedings of the 22nd International Conference on Computing and Combinatorics (COCOON)","file_date_updated":"2018-11-02T14:20:45Z","author":[{"first_name":"Faisal N. ","full_name":"Abu-Khzam, Faisal N. ","last_name":"Abu-Khzam"},{"full_name":"Li, Shouwei","first_name":"Shouwei","last_name":"Li"},{"full_name":"Markarian, Christine","first_name":"Christine","id":"37612","last_name":"Markarian"},{"full_name":"Meyer auf der Heide, Friedhelm","first_name":"Friedhelm","id":"15523","last_name":"Meyer auf der Heide"},{"full_name":"Podlipyan, Pavel","first_name":"Pavel","last_name":"Podlipyan"}],"user_id":"477","ddc":["000"],"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]."}],"language":[{"iso":"eng"}],"series_title":"LNCS","doi":"10.1007/978-3-319-42634-1_8","date_updated":"2022-01-06T06:51:57Z","project":[{"name":"SFB 901","_id":"1"},{"name":"SFB 901 - Subprojekt A1","_id":"5"},{"_id":"2","name":"SFB 901 - Project Area A"}],"department":[{"_id":"63"}],"title":"The Monotone Circuit Value Problem with Bounded Genus Is in NC"},{"author":[{"first_name":"Matthias","full_name":"Feldotto, Matthias","orcid":"0000-0003-1348-6516","last_name":"Feldotto","id":"14052"},{"first_name":"Kalman","full_name":"Graffi, Kalman","last_name":"Graffi"}],"publisher":"Wiley Online Library","publication":"Concurrency and Computation: Practice and Experience","file_date_updated":"2018-03-21T12:57:57Z","file":[{"relation":"main_file","success":1,"content_type":"application/pdf","date_updated":"2018-03-21T12:57:57Z","file_id":"1556","creator":"florida","file_size":3121363,"access_level":"closed","date_created":"2018-03-21T12:57:57Z","file_name":"145-Feldotto_et_al-2016-Concurrency_and_Computation-_Practice_and_Experience.pdf"}],"volume":28,"status":"public","has_accepted_license":"1","date_created":"2017-10-17T12:41:20Z","abstract":[{"lang":"eng","text":"Comparative evaluations of peer-to-peer protocols through simulations are a viable approach to judge the performance and costs of the individual protocols in large-scale networks. In order to support this work, we present the peer-to-peer system simulator PeerfactSim.KOM, which we extended over the last years. PeerfactSim.KOM comes with an extensive layer model to support various facets and protocols of peer-to-peer networking. In this article, we describe PeerfactSim.KOM and show how it can be used for detailed measurements of large-scale peer-to-peer networks. We enhanced PeerfactSim.KOM with a fine-grained analyzer concept, with exhaustive automated measurements and gnuplot generators as well as a coordination control to evaluate sets of experiment setups in parallel. Thus, by configuring all experiments and protocols only once and starting the simulator, all desired measurements are performed, analyzed, evaluated, and combined, resulting in a holistic environment for the comparative evaluation of peer-to-peer systems. An immediate comparison of different configurations and overlays under different aspects is possible directly after the execution without any manual post-processing. "}],"ddc":["040"],"user_id":"14052","citation":{"chicago":"Feldotto, Matthias, and Kalman Graffi. “Systematic Evaluation of Peer-to-Peer Systems Using PeerfactSim.KOM.” Concurrency and Computation: Practice and Experience 28, no. 5 (2016): 1655–77. https://doi.org/10.1002/cpe.3716.","apa":"Feldotto, M., & Graffi, K. (2016). Systematic evaluation of peer-to-peer systems using PeerfactSim.KOM. Concurrency and Computation: Practice and Experience, 28(5), 1655–1677. https://doi.org/10.1002/cpe.3716","ama":"Feldotto M, Graffi K. Systematic evaluation of peer-to-peer systems using PeerfactSim.KOM. Concurrency and Computation: Practice and Experience. 2016;28(5):1655-1677. doi:10.1002/cpe.3716","bibtex":"@article{Feldotto_Graffi_2016, title={Systematic evaluation of peer-to-peer systems using PeerfactSim.KOM}, volume={28}, DOI={10.1002/cpe.3716}, number={5}, journal={Concurrency and Computation: Practice and Experience}, publisher={Wiley Online Library}, author={Feldotto, Matthias and Graffi, Kalman}, year={2016}, pages={1655–1677} }","mla":"Feldotto, Matthias, and Kalman Graffi. “Systematic Evaluation of Peer-to-Peer Systems Using PeerfactSim.KOM.” Concurrency and Computation: Practice and Experience, vol. 28, no. 5, Wiley Online Library, 2016, pp. 1655–77, doi:10.1002/cpe.3716.","short":"M. Feldotto, K. Graffi, Concurrency and Computation: Practice and Experience 28 (2016) 1655–1677.","ieee":"M. Feldotto and K. Graffi, “Systematic evaluation of peer-to-peer systems using PeerfactSim.KOM,” Concurrency and Computation: Practice and Experience, vol. 28, no. 5, pp. 1655–1677, 2016."},"year":"2016","type":"journal_article","page":"1655-1677","_id":"145","intvolume":" 28","issue":"5","department":[{"_id":"79"},{"_id":"63"},{"_id":"541"}],"publication_status":"published","project":[{"name":"SFB 901","_id":"1"},{"name":"SFB 901 - Subprojekt A1","_id":"5"},{"name":"SFB 901 - Project Area A","_id":"2"}],"title":"Systematic evaluation of peer-to-peer systems using PeerfactSim.KOM","date_updated":"2022-01-06T06:52:00Z","doi":"10.1002/cpe.3716"},{"supervisor":[{"id":"40384","last_name":"Skopalik","full_name":"Skopalik, Alexander","first_name":"Alexander"}],"citation":{"chicago":"Pfannschmidt, Karlson. Solving the Aggregated Bandits Problem. Universität Paderborn, 2015.","ama":"Pfannschmidt K. Solving the Aggregated Bandits Problem. Universität Paderborn; 2015.","apa":"Pfannschmidt, K. (2015). Solving the aggregated bandits problem. Universität Paderborn.","bibtex":"@book{Pfannschmidt_2015, title={Solving the aggregated bandits problem}, publisher={Universität Paderborn}, author={Pfannschmidt, Karlson}, year={2015} }","mla":"Pfannschmidt, Karlson. Solving the Aggregated Bandits Problem. Universität Paderborn, 2015.","short":"K. Pfannschmidt, Solving the Aggregated Bandits Problem, Universität Paderborn, 2015.","ieee":"K. Pfannschmidt, Solving the aggregated bandits problem. Universität Paderborn, 2015."},"type":"mastersthesis","year":"2015","_id":"251","date_updated":"2022-01-06T06:56:50Z","department":[{"_id":"63"},{"_id":"541"}],"publisher":"Universität Paderborn","author":[{"full_name":"Pfannschmidt, Karlson","first_name":"Karlson","last_name":"Pfannschmidt"}],"date_created":"2017-10-17T12:41:41Z","project":[{"name":"SFB 901","_id":"1"},{"name":"SFB 901 - Subprojekt A3","_id":"7"},{"name":"SFB 901 - Project Area A","_id":"2"}],"status":"public","user_id":"14052","title":"Solving the aggregated bandits problem"},{"_id":"19959","date_updated":"2022-01-06T06:54:17Z","doi":"10.1007/978-3-319-16549-3_61","citation":{"chicago":"Wahby, Mostafa, and Heiko Hamann. “On the Tradeoff between Hardware Protection and Optimization Success: A Case Study in Onboard Evolutionary Robotics for Autonomous Parallel Parking.” In Applications of Evolutionary Computation (EvoApplications 2015), 2015. https://doi.org/10.1007/978-3-319-16549-3_61.","apa":"Wahby, M., & Hamann, H. (2015). On the Tradeoff between Hardware Protection and Optimization Success: A Case Study in Onboard Evolutionary Robotics for Autonomous Parallel Parking. In Applications of Evolutionary Computation (EvoApplications 2015). https://doi.org/10.1007/978-3-319-16549-3_61","ama":"Wahby M, Hamann H. On the Tradeoff between Hardware Protection and Optimization Success: A Case Study in Onboard Evolutionary Robotics for Autonomous Parallel Parking. In: Applications of Evolutionary Computation (EvoApplications 2015). ; 2015. doi:10.1007/978-3-319-16549-3_61","mla":"Wahby, Mostafa, and Heiko Hamann. “On the Tradeoff between Hardware Protection and Optimization Success: A Case Study in Onboard Evolutionary Robotics for Autonomous Parallel Parking.” Applications of Evolutionary Computation (EvoApplications 2015), 2015, doi:10.1007/978-3-319-16549-3_61.","bibtex":"@inproceedings{Wahby_Hamann_2015, title={On the Tradeoff between Hardware Protection and Optimization Success: A Case Study in Onboard Evolutionary Robotics for Autonomous Parallel Parking}, DOI={10.1007/978-3-319-16549-3_61}, booktitle={Applications of Evolutionary Computation (EvoApplications 2015)}, author={Wahby, Mostafa and Hamann, Heiko}, year={2015} }","short":"M. Wahby, H. Hamann, in: Applications of Evolutionary Computation (EvoApplications 2015), 2015.","ieee":"M. Wahby and H. Hamann, “On the Tradeoff between Hardware Protection and Optimization Success: A Case Study in Onboard Evolutionary Robotics for Autonomous Parallel Parking,” in Applications of Evolutionary Computation (EvoApplications 2015), 2015."},"year":"2015","type":"conference","language":[{"iso":"eng"}],"title":"On the Tradeoff between Hardware Protection and Optimization Success: A Case Study in Onboard Evolutionary Robotics for Autonomous Parallel Parking","user_id":"15415","author":[{"full_name":"Wahby, Mostafa","first_name":"Mostafa","last_name":"Wahby"},{"last_name":"Hamann","first_name":"Heiko","full_name":"Hamann, Heiko"}],"publication":"Applications of Evolutionary Computation (EvoApplications 2015)","department":[{"_id":"63"},{"_id":"238"}],"status":"public","date_created":"2020-10-08T12:36:48Z"}]