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Increasing the reliability of a machine reduces the period of its work

Published online by Cambridge University Press:  14 July 2016

Isaac M. Sonin*
Affiliation:
University of North Carolina at Charlotte
*
Postal address: Mathematics Department, The University of North Carolina at Charlotte, Charlotte, NC 28223, USA.

Abstract

The comparison of optimal strategies in a simple stochastic replacement model for two types of machines with identical cost characteristics when one of them is more reliable than the other is conducted. It is proven that the scheduled replacement period for the more reliable type is always less than for the less reliable one. An example is presented when even the expected period of use of a more reliable machine is less than the expected period for the less reliable one. Some related problems are briefly discussed.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1996 

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References

Anderson, R. F. (1988) Replacement with nonconstant operating cost. SIAM J. Control Optim. 26, 10761098.Google Scholar
Bylka, S., Sethi, S. and Sorger, G. (1992) Minimal forecast horizons in equipment replacement models with multiple technologies and general switching costs. Naval Research Logist. 39, 487508.Google Scholar
Dynkin, E. and Yushkevich, A. (1979) Controlled Markov Processes. Springer, Berlin.CrossRefGoogle Scholar
Heyman, D. and Sobel, M. (1982) Stochastic Models in Operation Research. Vol. II: Stochastic Optimization. McGraw-Hill, New York.Google Scholar
Hopp, W. and Nair, S. (1991) Timing replacement decisions under discontinuous technological change. Naval Res. Logist. 38, 203220.Google Scholar
Jorgenson, D., Mccall, J. and Radner, R. (1967) Optimal Replacement Policy. Rand McNally, Chicago.Google Scholar
Sonin, I. M. and Aliev, I. A. (1984) On relation between the reliability of equipment and replacement period (in Russian). Econ. Math. Meth. 20, 352355.Google Scholar
Valdez-Flores, C. and Feldman, R. M. (1989) A survey of preventive maintenance models for stochastically deteriorating single-unit systems. Naval Res. Logist. 36, 419446.3.0.CO;2-5>CrossRefGoogle Scholar