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Sequencing games with repeated players

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  • Estevez Fernandez, M.A.

    (Tilburg University)

  • Borm, P.E.M.

    (Tilburg University)

  • Calleja, P.
  • Hamers, H.J.M.

    (Tilburg University)

Abstract

Two classes of one machine sequencing situations are considered in which each job corresponds to exactly one player but a player may have more than one job to be processed, so called RP(repeated player) sequencing situations.In max-RP sequencing situations it is assumed that each player's cost function is linear with respect to the maximum completion time of his jobs, whereas in min-RP sequencing situations the cost functions are linear with respect to the minimum completion times.For both classes, following explicit procedures to go from the initial processing order to an optimal order for the coalition of all players, equal gain splitting rules are defined.It is shown that these rules lead to core elements of the associated RP sequencing games.Moreover, it is seen that min-RP sequencing games are convex.

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Bibliographic Info

Paper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-195639.

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Date of creation: 2008
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Publication status: Published in Annals of Operations Research (2008) v.158, p.189-203
Handle: RePEc:ner:tilbur:urn:nbn:nl:ui:12-195639

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Web page: http://www.tilburguniversity.edu/

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  1. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June.
  2. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
  3. Curiel, I. & Pederzoli, G. & Tijs, S.H., 1989. "Sequencing games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154243, Tilburg University.
  4. Calleja, P. & Estevez Fernandez, M.A. & Borm, P.E.M. & Hamers, H.J.M., 2004. "Job Scheduling, Cooperation and Control," Discussion Paper 2004-65, Tilburg University, Center for Economic Research.
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Cited by:
  1. Quant, M. & Meertens, M. & Reijnierse, J.H., 2008. "Processing games with shared interest," Open Access publications from Tilburg University urn:nbn:nl:ui:12-196215, Tilburg University.
  2. Estevez Fernandez, M.A. & Mosquera, M.A. & Borm, P.E.M. & Hamers, H.J.M., 2006. "Proportionate Flow Shop Games," Discussion Paper 2006-63, Tilburg University, Center for Economic Research.
  3. Herbert Hamers & Flip Klijn & Marco Slikker, 2013. "Price of Anarchy in Sequencing Situations and the Impossibility to Coordinate," Working Papers 709, Barcelona Graduate School of Economics.

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