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Formulations and valid inequalities for the capacitated dispersion problem

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Formulations and valid inequalities for the capacitated dispersion problem

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dc.contributor.author Landete, Mercedes
dc.contributor.author Peiró, Juanjo
dc.contributor.author Yaman, Hande
dc.date.accessioned 2023-06-16T11:58:25Z
dc.date.available 2023-06-17T04:45:06Z
dc.date.issued 2022 es_ES
dc.identifier.citation Landete, M., Peiró, J., & Yaman, H. (2023). Formulations and valid inequalities for the capacitated dispersion problem. Networks, 81 (2), 294-315. es_ES
dc.identifier.uri https://hdl.handle.net/10550/88339
dc.description.abstract This work focuses on the capacitated dispersion problem for which we study several mathematical formulations in different spaces using variables associated with nodes, edges, and costs. The relationships among the presented formulations are investigated by comparing the projections of the feasible sets of the LP relaxations onto the subspace of natural variables. These formulations are then strengthened with families of valid inequalities and variable-fixing procedures. The separation problems associated with the valid inequalities that are exponential in number are shown to be polynomially solvable by reducing them to longest path problems in acyclic graphs. The dual bounds obtained from stronger but larger formulations are used to improve the strength of weaker but smaller formulations. Several sets of computational experiments are conducted to illustrate the usefulness of the findings, as well as the aptness of the formulations for different types of instances. es_ES
dc.language.iso en es_ES
dc.publisher Wiley es_ES
dc.subject dispersion problem es_ES
dc.subject extended formulation es_ES
dc.subject location science es_ES
dc.subject polyhedral combinatorics es_ES
dc.subject separation es_ES
dc.subject telescopic sums es_ES
dc.subject valid inequalities es_ES
dc.title Formulations and valid inequalities for the capacitated dispersion problem es_ES
dc.type journal article es_ES
dc.subject.unesco UNESCO::CIENCIAS TECNOLÓGICAS es_ES
dc.identifier.doi 10.1002/net.22132 es_ES
dc.accrualmethod CI es_ES
dc.embargo.terms 0 days es_ES
dc.type.hasVersion VoR es_ES
dc.rights.accessRights open access es_ES

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