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Exact resolution of the two-stage hybrid flow shop with dedicated machines

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Abstract

In this paper we introduce a branch and bound algorithm for the two-stage hybrid flow shop problem with dedicated machines. An elimination rule is used to enhance the algorithm’s performances. Experimental results show that big size instances are solved and that the elimination rule contributed to discard up to 50 % of the nodes. We also propose an empirical analysis of the makespan distribution for small sizes instances.

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Acknowledgments

The authors thank the three referees for a careful reading of an earlier version of this paper and for their constructive comments.

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Authors and Affiliations

  1. LISI, INSAT-Tunis, Centre Urbain Nord B.P. N676, 1080 , Tunis Cedex, Tunisia

    Hatem Hadda & Sonia Hajri-Gabouj

  2. Unité de Recherche OASIS, ENIT, BP. 37, Le belvédère, 1002 , Tunis, Tunisia

    Najoua Dridi

Authors
  1. Hatem Hadda
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  2. Najoua Dridi
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  3. Sonia Hajri-Gabouj
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Correspondence to Hatem Hadda.

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Hadda, H., Dridi, N. & Hajri-Gabouj, S. Exact resolution of the two-stage hybrid flow shop with dedicated machines. Optim Lett 8, 2329–2339 (2014). https://doi.org/10.1007/s11590-014-0741-y

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  • DOI: https://doi.org/10.1007/s11590-014-0741-y

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