On the core of multiple longest traveling salesman games

M.A. Estevez Fernandez, P. Borm, H. Hamers

    Research output: Contribution to JournalArticleAcademic

    Abstract

    In this paper we introduce multiple longest traveling salesman (MLTS) games. An MLTS game arises from a network in which a salesman has to visit each node (player) precisely once, except to his home location, in such an order that maximizes the total reward. First it is shown that the value of a coalition of an MLTS game is determined by taking the maximum of suitable combinations of one and two person coalitions. Secondly it is shown that MLTS games with five or less players have a nonempty core. However, a six player MLTS game may have an empty core. For the special instance in which the reward between a pair of nodes is equal to 0 or 1, we provide relations between the structure of the core and the underlying network. © 2005 Elsevier B.V. All rights reserved.
    Original languageEnglish
    Pages (from-to)1816-1827
    Number of pages12
    JournalEuropean Journal of Operational Research
    Volume174
    Issue number3
    DOIs
    Publication statusPublished - 2006

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