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IMA Journal of Management Mathematics Advance Access published online on July 18, 2005
IMA Journal of Management Mathematics, 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.

Article

Cost-effective production policy for a stochastic unreliable manufacturing system

B. C. Giri 1 and T. Dohi 1*

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

* To whom correspondence should be addressed.
T. Dohi, E-mail: dohi{at}rel.hiroshima-u.ac.jp


  Abstract

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.
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