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Branch-and-Bound and Heuristic Algorithms for Group Scheduling with Due-Date Assignment and Resource Allocation

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  • Hongyu He

    (School of Economics, Shenyang University, Shenyang 110096, China
    Institute of Carbon Neutrality Technology and Policy, Shenyang University, Shenyang 110044, China)

  • Yanzhi Zhao

    (School of Economics, Shenyang University, Shenyang 110096, China)

  • Xiaojun Ma

    (School of Economics, Shenyang University, Shenyang 110096, China
    School of Statistics, Dongbei University of Finance and Economics, Dalian 116025, China)

  • Zheng-Guo Lv

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

  • Ji-Bo Wang

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

Abstract

Green scheduling that aims to enhance efficiency by optimizing resource allocation and job sequencing concurrently has gained growing academic attention. To tackle such problems with the consideration of scheduling and resource allocation, this paper considers a single-machine group scheduling problem with common/slack due-date assignment and a controllable processing time. The objective is to decide the optimized schedule of the group/job sequence, resource allocation, and due-date assignment. To solve the generalized case, this paper proves several optimal properties and presents a branch-and-bound algorithm and heuristic algorithms. Numerical experiments show that the branch-and-bound algorithm is efficient and the heuristic algorithm developed based on the analytical properties outruns the tabu search.

Suggested Citation

  • Hongyu He & Yanzhi Zhao & Xiaojun Ma & Zheng-Guo Lv & Ji-Bo Wang, 2023. "Branch-and-Bound and Heuristic Algorithms for Group Scheduling with Due-Date Assignment and Resource Allocation," Mathematics, MDPI, vol. 11(23), pages 1-14, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:23:p:4745-:d:1286488
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    References listed on IDEAS

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