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A new model for single machine scheduling with uncertain processing time

Author

Listed:
  • Kai Hu

    (Liaocheng University)

  • Xingfang Zhang

    (Liaocheng University)

  • Mitsuo Gen

    (Tokyo University of Science
    Japan and Fuzzy Logic Systems Institute)

  • Jungbok Jo

    (Dongseo University)

Abstract

Uncertain single machine scheduling problem for batches of jobs is an important issue for manufacturing systems. In this paper, we use uncertainty theory to study the single machine scheduling problem with deadlines where the processing times are described by uncertain variables with known uncertainty distributions. A new model for this problem is built to maximize expected total weight of batches of jobs. Then the model is transformed into a deterministic integer programming model by using the operational law for inverse uncertainty distributions. In addition, a property of the transformed model is provided and an algorithm is designed to solve this problem. Finally, a numerical example is given to illustrate the effectiveness of the model and the proposed algorithm.

Suggested Citation

  • Kai Hu & Xingfang Zhang & Mitsuo Gen & Jungbok Jo, 2017. "A new model for single machine scheduling with uncertain processing time," Journal of Intelligent Manufacturing, Springer, vol. 28(3), pages 717-725, March.
    • Handle: RePEc:spr:joinma:v:28:y:2017:i:3:d:10.1007_s10845-015-1033-9
    DOI: 10.1007/s10845-015-1033-9
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    References listed on IDEAS

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    1. Alessandro Agnetis & Dario Pacciarelli & Andrea Pacifici, 2007. "Multi-agent single machine scheduling," Annals of Operations Research, Springer, vol. 150(1), pages 3-15, March.
    2. Mor, Baruch & Mosheiov, Gur, 2011. "Single machine batch scheduling with two competing agents to minimize total flowtime," European Journal of Operational Research, Elsevier, vol. 215(3), pages 524-531, December.
    3. Allesandro Agnetis & Pitu B. Mirchandani & Dario Pacciarelli & Andrea Pacifici, 2004. "Scheduling Problems with Two Competing Agents," Operations Research, INFORMS, vol. 52(2), pages 229-242, April.
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