Minimizing the weighted number of tardy jobs on a two-machine flow shop

  • Authors:
  • R. L. Bulfin;Rym M'Hallah

  • Affiliations:
  • Department of Industrial and Systems Engineering, Auburn University, 207, Dunstan Hall, Auburn, AL;Department of Quantitative Methods, Institut Superieur de Gestion de Sousse, B.P. 763 Sousse 4000, Tunisia

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2003

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Abstract

In this paper, we describe an exact algorithm to solve the weighted number of tardy jobs two-machine flow shop scheduling problem. The algorithm uses branch-and-bound; a surrogate relaxation resulting in a multiple-choice knapsack provides the bounds. Extensive computational experiments indicate problems with 100 jobs can be solved quickly.