TU Darmstadt / ULB / TUbiblio

Scheduling Maintenance Jobs in Networks

Abed, F. ; Chen, L. ; Disser, Y. ; Groß, M. ; Megow, N. ; Meißner, J. ; Richter, A. ; Rischke, R. (2017)
Scheduling Maintenance Jobs in Networks.
10th International Conference on Algorithms and Complexity. Athens, Greece (24.-26.05.2017)
doi: 10.1007/978-3-319-57586-5_3
Konferenzveröffentlichung, Bibliographie

Kurzbeschreibung (Abstract)

We investigate the problem of scheduling the maintenance of edges in a network, motivated by the goal of minimizing outages in transportation or telecommunication networks. We focus on maintaining connectivity between two nodes over time; for the special case of path networks, this is related to the problem of minimizing the busy time of machines.

We show that the problem can be solved in polynomial time in arbitrary networks if preemption is allowed. If preemption is restricted to integral time points, the problem is NP-hard and in the non-preemptive case we give strong non-approximability results. Furthermore, we give tight bounds on the power of preemption, that is, the maximum ratio of the values of non-preemptive and preemptive optimal solutions.

Interestingly, the preemptive and the non-preemptive problem can be solved efficiently on paths, whereas we show that mixing both leads to a weakly NP-hard problem that allows for a simple 2-approximation.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2017
Autor(en): Abed, F. ; Chen, L. ; Disser, Y. ; Groß, M. ; Megow, N. ; Meißner, J. ; Richter, A. ; Rischke, R.
Art des Eintrags: Bibliographie
Titel: Scheduling Maintenance Jobs in Networks
Sprache: Englisch
Publikationsjahr: 12 April 2017
Verlag: Springer
Buchtitel: CIAC 2017: Algorithms and Complexity
Reihe: Lecture Notes in Computer Science
Band einer Reihe: 10236
Veranstaltungstitel: 10th International Conference on Algorithms and Complexity
Veranstaltungsort: Athens, Greece
Veranstaltungsdatum: 24.-26.05.2017
DOI: 10.1007/978-3-319-57586-5_3
Zugehörige Links:
Kurzbeschreibung (Abstract):

We investigate the problem of scheduling the maintenance of edges in a network, motivated by the goal of minimizing outages in transportation or telecommunication networks. We focus on maintaining connectivity between two nodes over time; for the special case of path networks, this is related to the problem of minimizing the busy time of machines.

We show that the problem can be solved in polynomial time in arbitrary networks if preemption is allowed. If preemption is restricted to integral time points, the problem is NP-hard and in the non-preemptive case we give strong non-approximability results. Furthermore, we give tight bounds on the power of preemption, that is, the maximum ratio of the values of non-preemptive and preemptive optimal solutions.

Interestingly, the preemptive and the non-preemptive problem can be solved efficiently on paths, whereas we show that mixing both leads to a weakly NP-hard problem that allows for a simple 2-approximation.

Fachbereich(e)/-gebiet(e): Exzellenzinitiative
Exzellenzinitiative > Graduiertenschulen
Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE)
04 Fachbereich Mathematik
04 Fachbereich Mathematik > Optimierung
04 Fachbereich Mathematik > Optimierung > Discrete Optimization
Hinterlegungsdatum: 07 Mär 2017 07:04
Letzte Änderung: 18 Aug 2022 11:58
PPN:
Zugehörige Links:
Export:
Suche nach Titel in: TUfind oder in Google
Frage zum Eintrag Frage zum Eintrag

Optionen (nur für Redakteure)
Redaktionelle Details anzeigen Redaktionelle Details anzeigen