Joint production and maintenance planning given the effects of imperfect maintenance on the amount of defective products

Articles in Press

Document Type : Industry Article

Authors

1 Department of Industrial Engineering. University of Kurdistan. Sanandaj. Iran

2 Iran, Sanandaj, University Of Kurdistan, Department Of Industrial Engineering

3 Department of Industrial Engineering, Kermanshah University of Technology, Kermanshah, Iran

Abstract

In order to plan production systems correctly and optimally, it is necessary to examine the maintenance policy, taking into account various factors such as time and cost, production rate and its effects on machine deterioration, etc. In this research, an attempt is made to jointly plan the production and maintenance process in a multi-period single-product system, considering the production capacity limitation and the effect of imperfect maintenance on reducing the probability of producing nonconforming products. For this purpose, by defining a set of states, actions, and rewards appropriate to each action, the problem is modeled in the Markov decision process framework. To determine the best action in each possible state of the problem, the stochastic dynamic programming technique is used. By solving the problem, a decision will be made regarding whether to perform imperfect maintenance and to determine the best production volume for each period. The goal is to determine the maintenance policy and optimal production volume in each period for different states in such a way that total demand can be covered during the allowed production periods at the lowest cost. The results indicate the effectiveness of the model in providing a suitable program for production and maintenance management in the given system. This issue is investigated by solving a numerical example and analyzing the effects of changing parameters on the results of the problem. If the cost of imperfect maintenance exceeds a certain threshold, increasing the probability of producing defective products is preferable to spending maintenance costs.

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Main Subjects

Journal of Modeling in Engineering

Articles in Press, Accepted Manuscript
Available Online from 26 May 2025

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History

  • Receive Date: 25 May 2024
  • Revise Date: 07 November 2024
  • Accept Date: 02 February 2025

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