Dominance rules for the parallel machine total weighted tardiness scheduling problem with release dates

  • Authors:
  • Antoine Jouglet;David Savourey

  • Affiliations:
  • Heudiasyc, UMR CNRS 6599, Université de Technologie de Compiègne, BP 20529, 60205 Compiègne, France;Ecole Polytechnique, CNRS LIX, F-91128 Palaiseau, France

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2011

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Abstract

We address the parallel machine total weighted tardiness scheduling problem with release dates. We describe dominance rules and filtering methods for this problem. Most of them are adaptations of dominance rules based on solution methods for the single-machine problem. We show how it is possible to deduce whether or not certain jobs can be processed by a particular machine in a particular context and we describe techniques that use this information to improve the dominance rules. On the basis of these techniques we describe an enumeration procedure and we provide experimental results to determine the effectiveness of the dominance rules.