Sequencing situations with Just-in-Time arrival, and related games

Edwin Lohmann, Peter Borm and Marco Slikker

Mathematical Methods of Operations Research, 2014, vol. 80, issue 3, 285-305

Abstract: In this paper sequencing situations with Just-in-Time (JiT) arrival are introduced. This new type of one-machine sequencing situations assumes that a job is available to be handled by the machine as soon as its predecessor is finished. A basic predecessor dependent set-up time is incorporated in the model. Sequencing situations with JiT arrival are first analyzed from an operations research perspective: for a subclass 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 sequencing game is defined followed by an analysis of a context-specific rule that leads to core elements of this game. Copyright Springer-Verlag Berlin Heidelberg 2014

Keywords: Just-in-Time arrival; Set-up time; Sequencing situations; Cooperative game theory; Core; Nucleolus (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s00186-014-0481-x

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