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Optimal production time and number of maintenance actions for an imperfect production system under equal-interval maintenance policy

Author

Listed:
  • Chih-Hsiung Wang

    (I-Shou University)

  • Ruey Huei Yeh

    (National Taiwan University of Science and Technology)

  • Peitsang Wu

    (I-Shou University)

Abstract

This paper deals with the optimal production/maintenance (PM) policy for a deteriorating production system which may shift from the in-control state to the out-of-control state while producing items. The process is assumed to have a general shift distribution. Under the commonly used maintenance policy, equal-interval maintenance, the joint optimizations of the PM policy are derived such that the expected total cost per unit time is minimized. Different conditions for optimality, lower and upper bounds and uniqueness properties on the optimal PM policy are provided. The implications of another commonly used policy, to perform a maintenance action only at the end of the production run, are also discussed. Structural properties for the optimal policy are established so that an efficient solution procedure is obtained. In the exponential case, some extensions of the results obtained previously in the literature are presented. A numerical example is provided to illustrate the solution procedure for the optimal production and maintenance policy.

Suggested Citation

  • Chih-Hsiung Wang & Ruey Huei Yeh & Peitsang Wu, 2006. "Optimal production time and number of maintenance actions for an imperfect production system under equal-interval maintenance policy," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(3), pages 262-270, March.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:3:d:10.1057_palgrave.jors.2601986
    DOI: 10.1057/palgrave.jors.2601986
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    References listed on IDEAS

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    1. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    2. Hau L. Lee & Meir J. Rosenblatt, 1987. "Simultaneous Determination of Production Cycle and Inspection Schedules in a Production System," Management Science, INFORMS, vol. 33(9), pages 1125-1136, September.
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