Scheduling identical parallel machines and operators within a period based changing mode

  • Authors:
  • M. Zouba;P. Baptiste;D. Rebaine

  • Affiliations:
  • Département de Mathématiques et Génie Industriel, ícole Polytechnique, C.P. 6079, succ. Centre-ville, Montréal, Québec, Canada H3C 3A7;Département de Mathématiques et Génie Industriel, ícole Polytechnique, C.P. 6079, succ. Centre-ville, Montréal, Québec, Canada H3C 3A7;Département d'Informatique et de Mathématique, Université du Québec í Chicoutimi, 555, boul. de l'Université, Chicoutimi, Québec, Canada G7H 2B1

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2009

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Abstract

This article addresses the problem of scheduling n non-preemptive jobs on m identical parallel machines with @w operators to minimize the makespan. The number of operators is less than the number of machines. As a result, it may happen that an operator has to supervise simultaneously several machines. This in turn has an impact on the job processing times as they become a function of the operators modus operandi. In this paper we consider the case where each modus operandi can only be changed at the end of a given period, i.e., a period based changing mode. We present heuristic algorithms to solve this problem. An experimental study is conducted to evaluate the performance of these heuristics in the average case, and a worst case analysis is presented for one of them.