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Single-Machine Maintenance Activity Scheduling with Convex Resource Constraints and Learning Effects

Author

Listed:
  • Zong-Jun Wei

    (School of Science, Shenyang Aerospace University, Shenyang 110136, China)

  • Li-Yan Wang

    (School of Science, Shenyang Aerospace University, Shenyang 110136, China)

  • Lei Zhang

    (School of Science, Shenyang Aerospace University, Shenyang 110136, China)

  • Ji-Bo Wang

    (School of Science, Shenyang Aerospace University, Shenyang 110136, China)

  • Ershen Wang

    (College of Electronic and Information Engineering, Shenyang Aerospace University, Shenyang 110136, China)

Abstract

In this paper, the single-machine scheduling problems under the common and slack due date assignments are studied, where the actual processing time of the job needs to consider some factors, such as convex resource allocation, maintenance activity, and learning effects. The goal of this study is to find the optimal sequence, maintenance activity location, resource allocation and common due date (flow allowance). The objective function is (1) to minimize the sum of scheduling cost (including the weighted sum of earliness, tardiness and common due date (flow allowance), where the weights are position-dependent weights) and resource consumption cost, and (2) to minimize the scheduling cost under the resource consumption cost which is bounded. We prove that these problems can be solved in polynomial time.

Suggested Citation

  • Zong-Jun Wei & Li-Yan Wang & Lei Zhang & Ji-Bo Wang & Ershen Wang, 2023. "Single-Machine Maintenance Activity Scheduling with Convex Resource Constraints and Learning Effects," Mathematics, MDPI, vol. 11(16), pages 1-21, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3536-:d:1218254
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    References listed on IDEAS

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    1. Guojun Hu & Junran Lichen & Pengxiang Pan, 2023. "Two Combinatorial Algorithms for the Constrained Assignment Problem with Bounds and Penalties," Mathematics, MDPI, vol. 11(24), pages 1-12, December.

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