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IMA Journal of Management Mathematics Advance Access originally published online on July 18, 2005
IMA Journal of Management Mathematics 2006 17(3):209-223; doi:10.1093/imaman/dpi031
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© The authors 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Cost-effective production policy for a stochastic unreliable manufacturing system

B. C. Giri and T. Dohi**

Department of Information Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima, Japan

** Email: dohi{at}rel.hiroshima-u.ac.jp

The paper deals with an economic manufacturing quantity (EMQ) problem for an unreliable manufacturing system in both continuous- and discrete-time settings. The time to machine failure and corrective and preventive repair times of the production facility are assumed to follow arbitrary probability distributions. The traditional method of determining the EMQ policy for a failure-prone manufacturing system is based on the minimization of the long-run average cost in the steady state. In this paper, an alternative criterion of optimality called cost effectiveness is introduced. The criteria for the existence and uniqueness of the optimal production time maximizing the cost effectiveness are derived analytically under general failure and specific repair (corrective and preventive) time distributions. The optimal cost-effective and average cost production policies are numerically calculated and compared in terms of their performances.

Keywords: EMQ; discrete/continuous failure and repair times; cost-effectiveness; optimal production policy

Received on 26 February 2004. revised on 16 November 2004. accepted on 14 February 2005.


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