Worst-case error bounds for parallel machine scheduling problems with bounded sequence-dependent setup times

  • Authors:
  • Irfan M. Ovacik;Reha Uzhoy

  • Affiliations:
  • School of Industrial Engineering, 1287 Grissom Hall, Purdue University, West Lafayette, IN 47907-1287, USA;School of Industrial Engineering, 1287 Grissom Hall, Purdue University, West Lafayette, IN 47907-1287, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1993

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Abstract

We consider minimizing makespan (Cmax) and maximum lateness (Lmax) on parallel identical machines with sequence-dependent setup times. We show that the optimal schedule need not be a list schedule. Motivated by a practical scheduling problem, we study the class of problems where setup times are bounded by processing times and develop tight worst case error bounds for list scheduling algorithms to minimize Cmax and Lmax.