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The Lorenz Transform approach to the Optimal Repair-Cost limit remplacement Policy with Imperfect Repair

Published online by Cambridge University Press:  15 August 2002

T. Dohi ,
F. S. Othman ,
N. Kaio  and
Sunji Osaki
T. Dohi
Affiliation:
Department of Industrial and Systems Engineering, Hiroshima University, 4-1 Kagamiyama 1 Chome, Higashi-Hiroshima 739-8527, Japan; osaki@gal.sys.hiroshima-u.ac.jp.
F. S. Othman
Affiliation:
Department of Industrial and Systems Engineering, Hiroshima University, 4-1 Kagamiyama 1 Chome, Higashi-Hiroshima 739-8527, Japan; osaki@gal.sys.hiroshima-u.ac.jp.
N. Kaio
Affiliation:
Department of Economic Informatics, Hiroshima Shudo University, 1-1-1 Ozukahigashi, Asaminami-ku, Hiroshima 731-3195, Japan.
Sunji Osaki
Affiliation:
Department of Industrial and Systems Engineering, Hiroshima University, 4-1 Kagamiyama 1 Chome, Higashi-Hiroshima 739-8527, Japan; osaki@gal.sys.hiroshima-u.ac.jp.
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Abstract

In this paper, we consider a repair-cost limit replacement problem with imperfect repair and develop a graphical method to determine the optimal repair-cost limit which minimizes the expected cost per unit time in the steady-state, using the Lorenz transform of the underlying repair-cost distribution function. The method proposed can be applied to an estimation problem of the optimal repair-cost limit from empirical repair-cost data. Numerical examples are devoted to examine asymptotic properties of the non-parametric estimator for the optimal repair-cost limit.

Keywords

Repair-cost limitimperfect repairLorenz transformnonparametric estimationmaintenance policy.
Type
Research Article
Information
RAIRO - Operations Research , Volume 35 , Issue 1 , January 2001 , pp. 21 - 36
Copyright
© EDP Sciences, 2001

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