Stochastic optimal production control problem with corrective maintenance

Stochastic optimal production control problem with corrective maintenance

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Article ID: iaor200583
Country: Netherlands
Volume: 46
Issue: 4
Start Page Number: 865
End Page Number: 875
Publication Date: Jul 2004
Journal: Computers & Industrial Engineering
Authors: ,
Keywords: production
Abstract:

We consider a production control problem in a manufacturing system with failure-prone machines and a constant demand rate. The objective is to minimise a discounted inventory holding and backlog cost over an infinite planning horizon. The availability of the machines is improved through a corrective maintenance strategy. The decision variables are the production and the machine repair rates, which influence the inventory levels and the system capacity, respectively. It is shown that, for constant demand rates and exponential failure and repair times distributions of the machines, the hedging point policy is optimal. Such a policy is modified herein and parameterised by factors representing the thresholds of involved products and switching inventory levels for corrective maintenance. With the obtained policy, simulation experiments are combined to experimental design and response surface methodology to estimate the optimal production and corrective maintenance policies, respectively. The usefulness of the proposed approach is illustrated through a numerical example.

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