A note on weighted completion time minimization in a flexible flow shop

  • Authors:
  • George J. Kyparisis;Christos Koulamas

  • Affiliations:
  • Department of Dec. Sc. and Info Systems, College of Business Administration, Florida International University, University Park Campus, Miami, FL 33199, USA;Department of Dec. Sc. and Info Systems, College of Business Administration, Florida International University, University Park Campus, Miami, FL 33199, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 2001

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Abstract

We consider the flexible flow shop scheduling problem with the weighted completion time minimization objective. We show that an extension of the weighted shortest processing time heuristic to the flexible flow shop case yields a worst-case ratio bound for this problem. A sharper bound is obtained for either the unweighted case or the case where there is a single machine in at least one stage.