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Preparation Sequencing Situations and Related GamesEdwin LohmannTilburg University Peter BormTilburg University - Center for Economic Research (CentER); Tilburg University - Department of Econometrics & Operations Research Marco SlikkerEindhoven University of Technology (TUE) - Faculty of Technology Management March 17, 2010 CentER Discussion Paper Series No. 2010-31 Abstract: In this paper preparation sequencing situations are introduced. This new type of one-machine 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.
Number of Pages in PDF File: 19 Keywords: preparation times, sequencing situations, cooperative game theory, core, nucleolus JEL Classification: C71 working papers seriesDate posted: March 18, 2010Suggested CitationContact Information
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