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Optimal single machine scheduling of products with components and changeover cost

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  • Zhou, Feng
  • Blocher, James D.
  • Hu, Xinxin
  • Sebastian Heese, H.

Abstract

We consider the problem of scheduling products with components on a single machine, where changeovers incur fixed costs. The objective is to minimize the weighted sum of total flow time and changeover cost. We provide properties of optimal solutions and develop an explicit characterization of optimal sequences, while showing that this characterization has recurrent properties. Our structural results have interesting implications for practitioners, primarily that the structure of optimal sequences is robust to changes in demand.

Suggested Citation

  • Zhou, Feng & Blocher, James D. & Hu, Xinxin & Sebastian Heese, H., 2014. "Optimal single machine scheduling of products with components and changeover cost," European Journal of Operational Research, Elsevier, vol. 233(1), pages 75-83.
  • Handle: RePEc:eee:ejores:v:233:y:2014:i:1:p:75-83
    DOI: 10.1016/j.ejor.2013.08.016
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    References listed on IDEAS

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    1. Mosheiov, Gur & Oron, Daniel, 2008. "A single machine batch scheduling problem with bounded batch size," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1069-1079, June.
    2. Lin, Bertrand M. T., 2002. "Fabrication scheduling on a single machine with due date constraints," European Journal of Operational Research, Elsevier, vol. 136(1), pages 95-105, January.
    3. Gerodimos, Alex E. & Glass, Celia A. & Potts, Chris N., 2000. "Scheduling the production of two-component jobs on a single machine," European Journal of Operational Research, Elsevier, vol. 120(2), pages 250-259, January.
    4. Kovalyov, M. Y. & Potts, C. N. & Strusevich, V. A., 2004. "Batching decisions for assembly production systems," European Journal of Operational Research, Elsevier, vol. 157(3), pages 620-642, September.
    5. Gregory Dobson & Uday S. Karmarkar & Jeffrey L. Rummel, 1987. "Batching to Minimize Flow Times on One Machine," Management Science, INFORMS, vol. 33(6), pages 784-799, June.
    6. Cheng, T.C.E. & Ng, C.T. & Yuan, J.J., 2008. "Single-machine scheduling of multi-operation jobs without missing operations to minimize the total completion time," European Journal of Operational Research, Elsevier, vol. 191(2), pages 320-331, December.
    7. Bongjin Gim & Min-Hong Han, 1997. "Economic scheduling of products with N components on a single machine," European Journal of Operational Research, Elsevier, vol. 96(3), pages 570-577, February.
    8. B. Lin & T. Cheng, 2005. "Two-Machine Flowshop Batching and Scheduling," Annals of Operations Research, Springer, vol. 133(1), pages 149-161, January.
    9. T.C. Cheng & Mikhail Kovalyov, 2001. "Single Supplier Scheduling for Multiple Deliveries," Annals of Operations Research, Springer, vol. 107(1), pages 51-63, October.
    10. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
    11. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
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    Cited by:

    1. Kozlovskaya, Nadezhda & Pakhomova, Nadezhda & Richter, Knut, 2016. "A general production and recovery EOQ model with stationary demand and return rates," Discussion Papers 378, European University Viadrina Frankfurt (Oder), Department of Business Administration and Economics.

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