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Production planning and repair/replacement switching policy for deteriorating manufacturing systems

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Abstract

In this paper, a deteriorating production system subject to random machine breakdowns, repair and replacement activities, is investigated. The machine manufactures one type of product, and when a breakdown occurs, either a repair or a replacement action is chosen. The machine is replaced with a new one if the replacement option is selected, and no repair action is considered in such a situation. The decision variables of the control problem are the production rate and the repair/replacement switching policy upon machine failure. The objective of the study is to find the decision variables that minimize the overall cost, including repair, replacement, inventory holding, and backlog costs, over an infinite planning horizon. This paper differs from similar research projects in that it considers the fact that machine repair activities depend on the repair history, and a semi-Markov decision process is used to describe the dynamics of the system. The proposed optimality conditions are developed using the stochastic dynamic programming approach, with a numerical example given to illustrate the utility of the proposed approach, and a sensitivity analysis considered to confirm the structure of the control policy obtained.

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Authors and Affiliations

  1. École de Technologie Supérieure, 1100 Notre Dame Street West, Montreal, Quebec, Canada, H3C 1K3

    Fleur Ines Dehayem Nodem, Jean-Pierre Kenne & Ali Gharbi

  2. Mechanical Engineering Department, Production Technologies Integration Laboratory, Université du Québec, Montreal, Canada

    Fleur Ines Dehayem Nodem & Jean-Pierre Kenne

  3. Automated Production Engineering Department, Production System Design and Control Laboratory, University of Quebec, Montreal, Canada

    Ali Gharbi

Authors
  1. Fleur Ines Dehayem Nodem
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  2. Jean-Pierre Kenne
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  3. Ali Gharbi
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Correspondence to Jean-Pierre Kenne.

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Dehayem Nodem, F.I., Kenne, JP. & Gharbi, A. Production planning and repair/replacement switching policy for deteriorating manufacturing systems. Int J Adv Manuf Technol 57, 827–840 (2011). https://doi.org/10.1007/s00170-011-3327-1

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  • DOI: https://doi.org/10.1007/s00170-011-3327-1

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