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Core-based cost allocation in the cooperative traveling salesman problem

A. Kimms and I. Kozeletskyi

European Journal of Operational Research, 2016, vol. 248, issue 3, 910-916

Abstract: This paper presents a cost allocation scheme for a horizontal cooperation of traveling salesmen that is implemented a priori and provides expected costs for the coalition members. The cost allocation is determined using the core concept. To compute the value of the characteristic function over the whole planning horizon the TSP with release dates combined with simulation is used. The developed core computation algorithm, based on mathematical programming techniques, provides a core element or, in case of an empty core, a least-core element. To decrease the computational effort of core computation a row generation procedure is implemented. The developed computation study tests the computational performance of the solution procedure.

Keywords: Traveling salesman problem; Cooperative game theory; Core; Cost allocation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (20)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:248:y:2016:i:3:p:910-916

DOI: 10.1016/j.ejor.2015.08.002

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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