A polynomial-time approximation scheme for the two-machine flow shop scheduling problem with an availability constraint

  • Authors:
  • Joachim Breit

  • Affiliations:
  • Department of Information and Technology Management, Saarland University, Saarbrücken, Germany

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2006

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Abstract

We study the problem of scheduling n preemptable jobs in a two-machine flow shop where the first machine is not available for processing during a given time interval. The objective is to minimize the makespan. We propose a polynomial-time approximation scheme for this problem. The approach is extended to solve the problem in which the second machine is not continuously available.