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dc.contributor.authorFernández Aréizaga, Elena
dc.contributor.authorKalcsics, Jörg
dc.contributor.authorNúñez del Toro, Alma Cristina
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa
dc.identifier.citationFernandez, E., Kalcsics, J., Nuñez-del-Toro, C. A branch-and-price algorithm for the Aperiodic Multi-Period Service Scheduling Problem. "European journal of operational research", 16 Desembre 2017, vol. 263, núm. 3, p. 805-814.
dc.description.abstractThis paper considers the multi-period service scheduling problem with an aperiodic service policy. In this problem, a set of customers who periodically require service over a finite time horizon is given. To satisfy the service demands, a set of operators is given, each with a fixed capacity in terms of the number of customers that can be served per period. With an aperiodic policy, customers may be served before the period were the service would be due. Two criteria are jointly considered in this problem: the total number of operators, and the total number of ahead-of-time periods. The task is to determine the service periods for each customer in such a way that the service requests of the customers are fulfilled and both criteria are minimized. A new integer programming formulation is proposed, which outperforms an existing formulation. Since the computational effort required to obtain solutions considerably increases with the size of the instances, we also present a reformulation suitable for column generation, which is then integrated within a branch-and-price algorithm. Computational experiments highlight the efficiency of this algorithm for the larger instances.
dc.format.extent10 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Optimització
dc.subject.lcshCombinatorial analysis
dc.subject.lcshCombinatorial probabilities
dc.subject.otherCombinatorial optimization
dc.subject.otherMulti-period problems
dc.subject.otherService scheduling
dc.subject.otherColumn generation
dc.titleA branch-and-price algorithm for the Aperiodic Multi-Period Service Scheduling Problem
dc.subject.lemacCombinacions (Matemàtica)
dc.contributor.groupUniversitat Politècnica de Catalunya. GNOM - Grup d'Optimització Numèrica i Modelització
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::05 Combinatorics::05E Algebraic combinatorics
dc.subject.amsClassificació AMS::60 Probability theory and stochastic processes::60C05 Combinatorial probability
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
local.citation.authorFernandez, E.; Kalcsics, J.; Nuñez-del-Toro, Cristina
local.citation.publicationNameEuropean journal of operational research

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