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Sequencing Games with Controllable Processing Time

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  • Velzen, S. van

    (Tilburg University, Center for Economic Research)

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    Abstract

    In this paper we study a class of cooperative sequencing games that arise from sequencing situations in which the processing times are not fixed.We show that these games are balanced by obtaining two core elements that depend only on the optimal schedule for the grand coalition.Furthermore we show that, although these games are not convex in general, many marginal vectors are core elements. We also consider convexity for special instances of the sequencing situation.

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    Bibliographic Info

    Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2003-105.

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    Date of creation: 2003
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    Handle: RePEc:dgr:kubcen:2003105

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    Web page: http://center.uvt.nl

    Related research

    Keywords: cooperative games;

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    1. Hamers, H.J.M. & Borm, P.E.M. & Tijs, S.H., 1995. "On games corresponding to sequencing situations with ready times," Open Access publications from Tilburg University urn:nbn:nl:ui:12-86378, Tilburg University.
    2. Borm, P.E.M. & Calleja, P. & Hamers, H.J.M. & Klijn, F. & Slikker, M., 2002. "On a new class of parallel sequencing situations and related games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-90187, Tilburg University.
    3. Hamers, H.J.M. & Klijn, F. & Velzen, S. van, 2002. "On the Convexity of Precedence Sequencing Games," Discussion Paper 2002-112, Tilburg University, Center for Economic Research.
    4. Hamers, Herbert & Klijn, Flip & Suijs, Jeroen, 1999. "On the balancedness of multiple machine sequencing games," European Journal of Operational Research, Elsevier, vol. 119(3), pages 678-691, December.
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