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Single machine scheduling with general positional deterioration and rate-modifying maintenance

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  • Rustogi, Kabir
  • Strusevich, Vitaly A.
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    Abstract

    We present polynomial-time algorithms for single machine problems with generalized positional deterioration effects and machine maintenance. The decisions should be taken regarding possible sequences of jobs and on the number of maintenance activities to be included into a schedule in order to minimize the overall makespan. We deal with general non-decreasing functions to represent deterioration rates of job processing times. Another novel extension of existing models is our assumption that a maintenance activity does not necessarily fully restore the machine to its original perfect state. In the resulting schedules, the jobs are split into groups, a particular group to be sequenced after a particular maintenance period, and the actual processing time of a job is affected by the group that job is placed into and its position within the group.

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    Bibliographic Info

    Article provided by Elsevier in its journal Omega.

    Volume (Year): 40 (2012)
    Issue (Month): 6 ()
    Pages: 791-804

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    Handle: RePEc:eee:jomega:v:40:y:2012:i:6:p:791-804

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    Related research

    Keywords: Scheduling; Maintenance; Sequencing; Deterioration; Single machine; Assignment problem;

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    Cited by:
    1. Rustogi, Kabir & Strusevich, Vitaly A., 2012. "Simple matching vs linear assignment in scheduling models with positional effects: A critical review," European Journal of Operational Research, Elsevier, vol. 222(3), pages 393-407.

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