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Processing Games with Restricted Capacities

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Author Info

  • Meertens, M.
  • Borm, P.E.M.
  • Reijnierse, J.H.
  • Quant, M.

    (Tilburg University, Center for Economic Research)

Abstract

This paper analyzes processing problems and related cooperative games.In a processing problem there is a finite set of jobs, each requiring a specific amount of effort to be completed, whose costs depend linearly on their completion times.There are no restrictions whatsoever on the processing schedule.The main feature of the model is a capacity restriction, i.e., there is a maximum amount of effort per time unit available for handling jobs.Assigning to each job a player and letting each player have an individual capacity for handling jobs, each coalition of cooperating players in fact faces a processing problem with the coalitional capacity being the sum of the individual capacities of the members.The corresponding processing game summarizes the minimal joint costs for every coalition.It turns out that processing games are totally balanced.An explicit core element is constructed.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2004-83.

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Date of creation: 2004
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Handle: RePEc:dgr:kubcen:200483

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

Related research

Keywords: games; capacity; scheduling; cooperation; allocation;

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References

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  1. Borm, P.E.M. & Hamers, H.J.M. & Hendrickx, R.L.P., 2001. "Operations Research Games: A Survey," Discussion Paper 2001-45, Tilburg University, Center for Economic Research.
  2. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June.
  3. Legut, J. & Potters, J.A.M. & Tijs, S.H., 1994. "Economies with land: A game theoretical approach," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154193, Tilburg University.
  4. Legut J. & Potters J. A. M. & Tijs S. H., 1994. "Economies with Land--A Game Theoretical Approach," Games and Economic Behavior, Elsevier, vol. 6(3), pages 416-430, May.
  5. Curiel, I. & Pederzoli, G. & Tijs, S.H., 1989. "Sequencing games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154243, Tilburg University.
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Cited by:
  1. Quant, M. & Meertens, M. & Reijnierse, J.H., 2004. "Processing Games with Shared Interest," Discussion Paper 2004-126, Tilburg University, Center for Economic Research.

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