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Preparation Sequencing Situations and Related Games

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Author Info

  • Lohmann, E.R.M.A.
  • Borm, P.E.M.
  • Slikker, M.

    (Tilburg University, Center for Economic Research)

Abstract

In 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 Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2010-31.

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Date of creation: 2010
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Handle: RePEc:dgr:kubcen:201031

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Web page: http://center.uvt.nl

Related research

Keywords: preparation times; sequencing situations; cooperative game theory; core; nucleolus;

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Cited by:
  1. 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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