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A Finite Horizon Dynamic Programming Model for Production and Repair Decisions

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  • Mohammad Saber Fallahnezhad

Abstract

In this research, a novel optimal single machine replacement policy in finite stages based on the rate of producing defective items is proposed. The primary objective of this paper is to determine the optimal decision using a Markov decision process to maximize the total profit associated with a machine maintenance policy. It is assumed that a customer order is due at the end of a finite horizon and the machine deteriorates over time when operating. Repair takes time but brings the machine to a better state. Production and repair costs are considered in the model and revenue is earned for each good item produced by the end of the horizon, there is also a cost for the machine condition at the end of the horizon. In each period, we must decide whether to produce, repair, or do nothing, with the objective of maximizing expected profit during the horizon.

Suggested Citation

  • Mohammad Saber Fallahnezhad, 2014. "A Finite Horizon Dynamic Programming Model for Production and Repair Decisions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(15), pages 3302-3313, August.
  • Handle: RePEc:taf:lstaxx:v:43:y:2014:i:15:p:3302-3313
    DOI: 10.1080/03610926.2012.694550
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    Cited by:

    1. Oscar F. Carrasco Heine & Charles Thraves, 2023. "On the optimization of pit stop strategies via dynamic programming," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(1), pages 239-268, March.

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