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A note on due-date assignment and single machine scheduling with a learning/aging effect

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  • Chang, Pei-Chann
  • Chen, Shih-Hsin
  • Mani, V.

Abstract

This paper considers the learning/aging effect in an n job single machine scheduling problem with common due date. The objective is to determine the optimal common due date and the optimal sequence of jobs that minimizes a cost function in the presence of learning/aging effect. The cost function depends on the individual job earliness and tardiness values; i.e., . This is a well-known problem when the learning/aging effect is not considered and it is shown in earlier studies that there are more than one optimal sequence and optimal common due dates. It is shown in earlier studies that there are 2r-1 optimal sequences to this problem if n is odd, and 2r optimal sequences if n is even. The value of r is (n+1)/2 if n is odd, and the value of r is n/2 if n is even. In this paper, we derive two bounds B[alpha] and for the learning index [alpha]. We show that when B[alpha]

Suggested Citation

  • Chang, Pei-Chann & Chen, Shih-Hsin & Mani, V., 2009. "A note on due-date assignment and single machine scheduling with a learning/aging effect," International Journal of Production Economics, Elsevier, vol. 117(1), pages 142-149, January.
    • Handle: RePEc:eee:proeco:v:117:y:2009:i:1:p:142-149
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    3. Vinod, V. & Sridharan, R., 2011. "Simulation modeling and analysis of due-date assignment methods and scheduling decision rules in a dynamic job shop production system," International Journal of Production Economics, Elsevier, vol. 129(1), pages 127-146, January.
    4. Heuser, Patricia & Tauer, Björn, 2023. "Single-machine scheduling with product category-based learning and forgetting effects," Omega, Elsevier, vol. 115(C).
    5. Shabtay, Dvir, 2010. "Scheduling and due date assignment to minimize earliness, tardiness, holding, due date assignment and batch delivery costs," International Journal of Production Economics, Elsevier, vol. 123(1), pages 235-242, January.
    6. Gara-Ali, Ahmed & Finke, Gerd & Espinouse, Marie-Laure, 2016. "Parallel-machine scheduling with maintenance: Praising the assignment problem," European Journal of Operational Research, Elsevier, vol. 252(1), pages 90-97.
    7. Egorov, Aleksei V. (Егоров, Алексей В.) & Borzykh, Olga A. (Борзых, Ольга А.), 2018. "Asymmetric Interest Rate Pass-Through in Russia [Асимметрия Процентного Канала Денежной Трансмиссии В России]," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 1, pages 92-121, February.
    8. Chen-Fu Chien & Chung-Jen Kuo & Chih-Min Yu, 2020. "Tool allocation to smooth work-in-process for cycle time reduction and an empirical study," Annals of Operations Research, Springer, vol. 290(1), pages 1009-1033, July.

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