The no-wait flow-shop paradox

  • Authors:
  • Frits C. R. Spieksma;Gerhard J. Woeginger

  • Affiliations:
  • Department of Applied Economics, Katholieke Universiteit Leuven, Naamsestraat 69, B-3000 Leuven, Belgium;Department of Mathematics and Computer Science, TU Eindhoven, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

  • Venue:
  • Operations Research Letters
  • Year:
  • 2005

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Abstract

We discuss a new resource paradox in the area of scheduling: Increasing the speed of some machines in a no-wait flow-shop instance may actually worsen the optimal makespan. We construct instances for which the ratio between optimal makespan with improved speed and optimal makespan without improved speed becomes arbitrarily bad.