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A heuristic for single machine common due date assignment problem with different earliness/tardiness weights

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  • Oğuzhan Ahmet Arik

    (Nuh Naci Yazgan University)

Abstract

This paper considers the common due date assignment for single machine weighted earliness/tardiness scheduling problem with different earliness and tardiness weights for jobs where the objective is to minimize the cost of the sum of weighted earliness/tardiness and assignment common due date. The single machine common due date assignment problem where all jobs have the same earliness/tardiness weight has a polynomial-time algorithm to solve it optimally. Furthermore, some properties for the problem where the common due date is an input have been revealed by researchers in the literature. This paper proposes a heuristic algorithm for the problem using the revealed properties of similar problems’ optimal solutions such as the V-shaped property and zero-start time of the machine. The experimental study of this paper shows that the proposed heuristic finds better solutions for the problems in a reasonable time than a commercial solver has when the problem size is increased.

Suggested Citation

  • Oğuzhan Ahmet Arik, 2023. "A heuristic for single machine common due date assignment problem with different earliness/tardiness weights," OPSEARCH, Springer;Operational Research Society of India, vol. 60(3), pages 1561-1574, September.
    • Handle: RePEc:spr:opsear:v:60:y:2023:i:3:d:10.1007_s12597-023-00652-1
    DOI: 10.1007/s12597-023-00652-1
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    References listed on IDEAS

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    2. Gordon, Valery & Proth, Jean-Marie & Chu, Chengbin, 2002. "A survey of the state-of-the-art of common due date assignment and scheduling research," European Journal of Operational Research, Elsevier, vol. 139(1), pages 1-25, May.
    3. S. S. Panwalkar & M. L. Smith & A. Seidmann, 1982. "Common Due Date Assignment to Minimize Total Penalty for the One Machine Scheduling Problem," Operations Research, INFORMS, vol. 30(2), pages 391-399, April.
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    More about this item

    Keywords

    Common due date assignment; Single machine; Earliness; Tardiness; Scheduling;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

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