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Single-Machine Group Scheduling Problems with Variable Job Processing Times

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  • Ping Ji
  • Lin Li

Abstract

This paper considers two resource constrained single-machine group scheduling problems. These problems involve variable job processing times (general position-dependent learning effects and deteriorating jobs); that is, the processing time of a job is defined by the function that involves its starting time and position in the group, and groups’ setup time is a positive strictly decreasing continuous function of the amount of consumed resource. Polynomial time algorithms are proposed to optimally solve the makespan minimization problem under the constraint that the total resource consumption does not exceed a given limit and the total resource consumption minimization problem under the constraint that the makespan does not exceed a given limit, respectively.

Suggested Citation

  • Ping Ji & Lin Li, 2015. "Single-Machine Group Scheduling Problems with Variable Job Processing Times," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, July.
    • Handle: RePEc:hin:jnlmpe:758919
    DOI: 10.1155/2015/758919
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    Cited by:

    1. Jaykrishnan, G. & Levin, Asaf, 2024. "Scheduling with cardinality dependent unavailability periods," European Journal of Operational Research, Elsevier, vol. 316(2), pages 443-458.

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