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On the Balancedness of M-Sequencing Games

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Author Info

  • Hamers, H.J.M.
  • Klijn, F.
  • Suijs, J.P.M.

    (Tilburg University, Center for Economic Research)

Abstract

This paper studies m-sequencing games that arise from sequencing situations with m parallel and identical machines. These m-sequencing games, which involve n players, give rise to m-machine games, which involve m players. Here, n corresponds to the number of jobs in an m-sequencing situation, and m corresponds to the number of machines in the same m-sequencing situation. We prove that an m-sequening game is balanced if and only if the corresponding m-machine game is balanced. Furthermore, it is shown that m-sequencing games are balanced ifm 2 f1;2g. Finally, ifm  3, balancedness is established for two special classes of m-sequencing games.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1998-17.

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Date of creation: 1998
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Handle: RePEc:dgr:kubcen:199817

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Related research

Keywords: cooperative games; sequencing situations;

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References

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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. 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.
  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. van den Nouweland, Anne & Krabbenborg, Marc & Potters, Jos, 1992. "Flow-shops with a dominant machine," European Journal of Operational Research, Elsevier, vol. 62(1), pages 38-46, October.
  5. Curiel, I. & Potters, J.A.M. & Rajendra Prasad, V. & Tijs, S.H. & Veltman, B., 1994. "Sequencing and cooperation," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154192, Tilburg University.
  6. Tijs, S.H. & Parthasarathy, T. & Potters, J.A.M. & Rajendra Prasad, V., 1984. "Permutation games: Another class of totally balanced games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154278, Tilburg University.
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Cited by:
  1. 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.
  2. 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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