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Multi-coloring and job-scheduling with assignment and incompatibility costs

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  • Ivo Blöchliger
  • Nicolas Zufferey

Abstract

Consider a scheduling problem (P) which consists of a set of jobs to be performed within a limited number of time periods. For each job, we know its duration as an integer number of time periods, and preemptions are allowed. The goal is to assign the required number of time periods to each job while minimizing the assignment and incompatibility costs. When a job is performed within a time period, an assignment cost is encountered, which depends on the involved job and on the considered time period. In addition, for some pairs of jobs, incompatibility costs are encountered if they are performed within common time periods. (P) can be seen as an extension of the multi-coloring problem. We propose various solution methods for (P) (namely a greedy algorithm, a descent method, a tabu search and a genetic local search), as well as an exact approach. All these methods are compared on different types of instances. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Ivo Blöchliger & Nicolas Zufferey, 2013. "Multi-coloring and job-scheduling with assignment and incompatibility costs," Annals of Operations Research, Springer, vol. 211(1), pages 83-101, December.
    • Handle: RePEc:spr:annopr:v:211:y:2013:i:1:p:83-101:10.1007/s10479-013-1397-1
    DOI: 10.1007/s10479-013-1397-1
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    References listed on IDEAS

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    Cited by:

    1. Simon Thevenin & Nicolas Zufferey & Jean-Yves Potvin, 2017. "Makespan minimisation for a parallel machine scheduling problem with preemption and job incompatibility," International Journal of Production Research, Taylor & Francis Journals, vol. 55(6), pages 1588-1606, March.

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