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A structural Lagrangean relaxation for two-duty period bus driver scheduling problems

dc.contributor.authorPinto, José Pinto
dc.contributor.authorPato, Margarida Vaz
dc.date.accessioned2025-01-23T15:14:00Z
dc.date.available2025-01-23T15:14:00Z
dc.date.issued1989
dc.description.abstractThe two-duty period bus driver scheduling problem is a particular case of the generalized set covering problem, min {cTx : Ax ⩾ b, 0 ⩽ x ⩽h and integer) where, each column of the boolean matrix A consists of at most two strings of consecutive ones. Such a denomination for the problem is due to several real life applications, in particular for bus crew scheduling. In this paper, we present a 'structural' lagrangean relaxation and penalties for improving the bounds on the optimum for the problem. Two other lagrangean relaxation approaches, previously reported in the literature, are considered too. A computational study relative to these relaxations was carried out with both randomly generated test problems and real life cases from Rodoviária Nacional, a large mass transport operator in Portugal. The results reported in the paper evidence a better performance for the lagrangean relation approach wich combined with greedy heuristics, yeld a reasonably good and fast procedure for tackling real life problemspt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationPaixão, José Pinto and Margarida Vaz Pato .(1989). “A structural Lagrangean relaxation for two-duty period bus driver scheduling problems”, European Journal of Operational Research, Volume 39: pp. 213-222. 1989pt_PT
dc.identifier.issn0377-2217
dc.identifier.urihttp://hdl.handle.net/10400.5/97586
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.subjectLagrangean Relaxationpt_PT
dc.subjectHeuristicspt_PT
dc.subjectGeneralized Set Coveringpt_PT
dc.subjectNetwork Flowspt_PT
dc.subjectBus Driver Schedulingpt_PT
dc.titleA structural Lagrangean relaxation for two-duty period bus driver scheduling problemspt_PT
dc.typejournal article
dspace.entity.typePublication
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT

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