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Solving job shop problems in the context of hypergraphs

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  • Dušan Hvalica

Abstract

A class of hypergraphs, called $$B$$ -tails, is introduced. It is shown that a certain hypergraph can be assigned to any job shop problem in such a way that minimal $$B$$ -tails correspond to optimal schedules. An algorithm for searching for a minimal $$B$$ -tail is described. Copyright Springer-Verlag 2013

Suggested Citation

  • Dušan Hvalica, 2013. "Solving job shop problems in the context of hypergraphs," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(1), pages 27-40, June.
    • Handle: RePEc:spr:cejnor:v:21:y:2013:i:1:p:27-40
    DOI: 10.1007/s10100-012-0268-1
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    References listed on IDEAS

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    1. Jain, A. S. & Meeran, S., 1999. "Deterministic job-shop scheduling: Past, present and future," European Journal of Operational Research, Elsevier, vol. 113(2), pages 390-434, March.
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    Cited by:

    1. Tibor Csendes & Lidija Zadnik Stirn & Janez Žerovnik, 2013. "Editorial," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(1), pages 1-2, June.
    2. Andrej Kastrin & Janez Povh & Lidija Zadnik Stirn & Janez Žerovnik, 2021. "Methodologies and applications for resilient global development from the aspect of SDI-SOR special issues of CJOR," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(3), pages 773-790, September.

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