2012
DOI: 10.1016/j.cor.2011.07.017
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Solving shortest path problems with a weight constraint and replenishment arcs

Abstract: This paper tackles a generalization of the weight constrained shortest path problem in a directed network (WCSPP) in which replenishment arcs, that reset the accumulated weight along the path to zero, appear in the network. Such situations arise, for example, in airline crew pairing applications, where the weight represents duty hours, and replenishment arcs represent crew overnight rests, and also in aircraft routing, where the weight represents time elapsed, or flight time, and replenishment arcs represent m… Show more

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Cited by 67 publications
(58 citation statements)
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“…We adapt an approach from the SPP with a weight constraint and replenishment arcs studied by [27]. However unlike the initial problem we considered the CS at a limited number of nodes and not in the arcs.…”
Section: B Proposed Methodologymentioning
confidence: 99%
“…We adapt an approach from the SPP with a weight constraint and replenishment arcs studied by [27]. However unlike the initial problem we considered the CS at a limited number of nodes and not in the arcs.…”
Section: B Proposed Methodologymentioning
confidence: 99%
“…Then, the results achieved by the proposed system are compared with the corresponding ones for three other systems. The first system is a traditional route algorithm for WSN that having no optimization [24], the second system uses an analytical optimization for WSNs having obstacles [25]. The third one uses particle swarm optimization technique [26].…”
Section: Applicability Of the Proposed System And Its Resultsmentioning
confidence: 99%
“…prune ←true 5: end if 6: end for 7: return prune This idea is an extension of the infeasibility pruning strategy presented by Lozano and Medaglia [13] for the CSP. Other authors have proposed similar preprocessing procedures in the context of DP to solve other shortest path variants [5,14,17,23,24].…”
Section: Algorithmmentioning
confidence: 99%