Preparation Sequencing Situations and Related Games
AbstractIn this paper preparation sequencing situations are introduced. This new type of onemachine sequencing situations assumes that before a job can start, some preparation depending on its predecessor is required. Preparation sequencing situations are first analyzed from an operations research perspective: optimality conditions are provided and an algorithm is provided to obtain an optimal order. Secondly, we analyze the allocation problem of the minimal joint cost from a game theoretic perspective. A corresponding preparation sequencing game is defined and the focus is on the core and nucleolus of such games.
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2010-31.
Date of creation: 2010
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preparation times; sequencing situations; cooperative game theory; core; nucleolus;
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-2010-05-02 (All new papers)
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- Grundel, Soesja & Çiftçi, Barış & Borm, Peter & Hamers, Herbert, 2013.
"Family sequencing and cooperation,"
European Journal of Operational Research,
Elsevier, vol. 226(3), pages 414-424.
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