On a new class of parallel sequencing situations and related games
AbstractThis 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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Bibliographic InfoPaper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-90187.
Date of creation: 2002
Date of revision:
Publication status: Published in Annals of Operations Research (2002) v.109, p.265-277
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Other versions of this item:
- Calleja, P. & Borm, P.E.M. & Hamers, H.J.M. & Klijn, F., 2001. "On a New Class of Parallel Sequencing Situations and Related Games," Discussion Paper 2001-3, Tilburg University, Center for Economic Research.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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- 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.
- Velzen, S. van, 2003. "Sequencing Games with Controllable Processing Time," Discussion Paper 2003-105, Tilburg University, Center for Economic Research.
- C. Sire & S. Redner, 2009. "Understanding baseball team standings and streaks," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 67(3), pages 473-481, February.
- 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).
- 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.
- 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.
- Velzen, S. van & Hamers, H.J.M., 2002. "On the Balancedness of Relaxed Sequencing Games," Discussion Paper 2002-49, Tilburg University, Center for Economic Research.
- Imma Curiel, 2010. "Multi-stage sequencing situations," International Journal of Game Theory, Springer, vol. 39(1), pages 151-162, March.
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