Sequencing Games with Controllable Processing Time
AbstractIn 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 InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2003-105.
Date of creation: 2003
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This paper has been announced in the following NEP Reports:
- NEP-ALL-2003-12-07 (All new papers)
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- 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.
- Hamers, H. & Borm, P. & Tijs, S., 1993. "A Games Corresponding to Sequencing Situations with Ready Times," Papers 9316, Tilburg - Center for Economic Research.
- 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.
- 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.
- Calleja, P. & Borm, P.E.M. & Hamers, H.J.M. & Klijn, F., 2001.
"On a New Class of Parallel Sequencing Situations and Related Games,"
2001-3, Tilburg University, Center for Economic Research.
- 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.
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