Incorporating Risk in an Optimization Model of Reliability Engineering
International Journal of Economic Behavior and Organization
Volume 3, Issue 2-1, April 2015, Pages: 1-4
Received: Nov. 21, 2014;
Accepted: Nov. 25, 2014;
Published: Dec. 27, 2014
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Akio Matsumoto, Department of Economics, Chuo University, 742-1, Higashi-Nakano, Hachioji-shi, Tokyo, 192-0393, Japan
Ferenc Szidarovszky, ReliaSoft Corporation, 1450 S. Eastside Loop, Tucson, Arizona 85710, USA
Miklós Szidarovszky, ReliaSoft Corporation, 1450 S. Eastside Loop, Tucson, Arizona 85710, USA
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A non-repairable system is considered and the problem of finding its optimal preventive replacement time is revisited. In addition to minimizing the expected cost per unit time in a cycle, we also consider its variance as the measure of the risk of the optimal decision. A multi-objective optimization problem is then formulated where the two objective functions are the expectation and the variance. A sufficient condition is given for the existence of finite optimum in the case of the weighting method, where either the weight of the variance or the replacement costs are sufficiently small. In applying the ε - constraint method there is always finite optimum if the upper bound for the expectation is close to its minimal value.
Certainty Equivalent, Reliability, Risk
To cite this article
Incorporating Risk in an Optimization Model of Reliability Engineering, International Journal of Economic Behavior and Organization. Special Issue:Recent Developments of Economic Theory and Its Applications.
Vol. 3, No. 2-1,
2015, pp. 1-4.
Beichelt, F (1993) A Unifying Treatment of Replacement Policies with Minimal Repair. Naval Research Logistics, 40: 51-67.
Wang, H.Z. (2002) A Survey of Maintenance Policies of Deteriorating Systems. European Journal of Operational Research, 139 (3): 469-489.
Nakagawa, T. (2006) Maintenance Theory and Reliability. Springer-Verlag, Berlin/Tokyo.
Nakagawa, T. (2008) Advanced Reliability Models and Maintenance Policies. Springer-Verlag, Berlin/Tokyo.
Elsayed, E.A. (2012) Reliability Engineering. John Wiley & Sons, Hoboken, New Jersey.
Sargent, T.J. (1979) Macroeconomic Theory. Academic Press, New York.
Szidarovszky, F., Gershon M.E., Duckstein, L. (1986) Techniques of Multiobjective Decision Making in Systems Management. Elsevier, Amsterdam.