Maximizing the configuration robustness for parallel multi-purpose machines under setup cost constraints

  • Authors:
  • Alexis Aubry;Mireille Jacomino;André Rossi;Marie-Laure Espinouse

  • Affiliations:
  • CRAN, Nancy-Université, CNRS, Vandœuvre lès Nancy, France 54506;Grenoble-INP/UJF-Grenoble 1/CNRS, G-SCOP UMR5272, Grenoble, France 38031;Lab-STICC, Université de Bretagne-Sud, Lorient Cedex, France 56321;Grenoble-INP/UJF-Grenoble 1/CNRS, G-SCOP UMR5272, Grenoble, France 38031

  • Venue:
  • Journal of Scheduling
  • Year:
  • 2012

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Abstract

This paper focuses on the configuration of a parallel multi-purpose machines workshop. An admissible configuration must be chosen in order to ensure that a load-balanced production plan meeting the demand exists. Moreover, the demand is strongly subject to uncertainties. That is the reason why the configuration must exhibit robustness properties: the load-balancing performance must be guaranteed with regard to a given range of uncertainties. A branch-and-bound approach has been developed and implemented to determine a cost-constrained configuration that maximizes a robustness level. Computational results are reported for both academic and industrial-scale instances. More than 80% of the academic instances are solved to optimality by the proposed method. Moreover, this method appears to be a good heuristic for industrial-scale instances.