Single machine scheduling with controllable release and processing parameters

  • Authors:
  • Natalia V. Shakhlevich;Vitaly A. Strusevich

  • Affiliations:
  • School of Computing, University of Leeds, Leeds, UK;School of Computing and Mathematical Sciences, University of Greenwich, Old Royal Naval College, London, UK

  • Venue:
  • Discrete Applied Mathematics - Special issue: International symposium on combinatorial optimization CO'02
  • Year:
  • 2006

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Abstract

This paper considers single machine scheduling problems in which the job processing times and/or their release dates are controllable. Possible changes to the controllable parameters are either individual or done by controlling the relevant processing or release rate. The objective is to minimize the sum of the makespan plus the cost for changing the parameters. For the problems of this type, we provide a number of polynomial-time algorithms and give a fairly complete complexity classification.