On a new class of parallel sequencing situations and related games

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On a new class of parallel sequencing situations and related games

Author Info

Calleja, P.
Borm, P.
Hamers, H. (Tilburg University, Center for Economic Research)

Additional information is available for the following registered author(s):

Peter Borm

Abstract

This paper considers a special class of sequencing situations with two parallel machines in which each agent has precisely two jobs to be processed, one on each machine. The costs of an agent depend linearly on the final completion time of his jobs. We describe a procedure that provides an optimal processing order of the jobs. Furthermore, we study cooperative games arising from these sequencing situations. Our main result is balancedness of these games.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 3.

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Date of creation: 2001
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Handle: RePEc:dgr:kubcen:20013

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

This paper has been announced in the following NEP Reports:

NEP-ALL-2001-02-08 (All new papers)
NEP-GTH-2001-02-08 (Game Theory)

Cited by:
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Velzen, B. van & Hamers, H., 2002. "On the balancedness of relaxed sequencing games," Discussion Paper 49, Tilburg University, Center for Economic Research. [Downloadable!]
Velzen, S. van, 2003. "Sequencing games with controllable processing times," Discussion Paper 105, Tilburg University, Center for Economic Research. [Downloadable!]
Hamers, H. & Klijn, P. & Velzen, B. van, 2002. "On the convexity of precedence sequencing games," Discussion Paper 112, Tilburg University, Center for Economic Research. [Downloadable!]
Calleja, P. & Estevez-Fernandez, M.A. & Borm, P.E.M. & Hamers, H.J.M., 2004. "Job scheduling, cooperation, and control," Discussion Paper 65, Tilburg University, Center for Economic Research. [Downloadable!]
Herbert Hamers & Flip Klijn & Bas van Velzen, 2002. "On Games corresponding to Sequencing Situations with Precedence Relations," UFAE and IAE Working Papers 553.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
Estevez-Fernandez, Arantza & Mosquera, Manuel A. & Borm, Peter & Hamers, Herbert, 2006. "Proportionate flow shop games," Discussion Paper 63, Tilburg University, Center for Economic Research. [Downloadable!]

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