Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/26795
Title: | Scheduling arc shut downs in a network to maximize flow over time with a bounded number of jobs per time period | Contributor(s): | Boland, Natashia (author); Kalinowski, Thomas (author) ; Kaur, Simranjit (author) | Publication Date: | 2016-10 | Early Online Version: | 2015-05-29 | DOI: | 10.1007/s10878-015-9910-x | Handle Link: | https://hdl.handle.net/1959.11/26795 | Abstract: | We study the problem of scheduling maintenance on arcs of a capacitated network so as to maximize the total flow from a source node to a sink node over a set of time periods. Maintenance on an arc shuts down the arc for the duration of the period in which its maintenance is scheduled, making its capacity zero for that period. A set of arcs is designated to have maintenance during the planning period, which will require each to be shut down for exactly one time period. In general this problem is known to be NP-hard, and several special instance classes have been studied. Here we propose an additional constraint which limits the number of maintenance jobs per time period, and we study the impact of this on the complexity. | Publication Type: | Journal Article | Grant Details: | ARC/LP0990739 | Source of Publication: | Journal of Combinatorial Optimization, 32(3), p. 885-905 | Publisher: | Springer New York LLC | Place of Publication: | United States of America | ISSN: | 1573-2886 1382-6905 |
Fields of Research (FoR) 2008: | 010303 Optimisation 010206 Operations Research |
Fields of Research (FoR) 2020: | 490304 Optimisation 490108 Operations research |
Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Socio-Economic Objective (SEO) 2020: | 280118 Expanding knowledge in the mathematical sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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Appears in Collections: | Journal Article School of Science and Technology |
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