The Lorenz transform approach to the optimal repair-cost limit replacement policy with imperfect repair
RAIRO - Operations Research - Recherche Opérationnelle, Tome 35 (2001) no. 1, pp. 21-36.

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.

Classification : 90B25,  62N05,  62N02
Mots clés : repair-cost limit, imperfect repair, Lorenz transform, nonparametric estimation, maintenance policy
@article{RO_2001__35_1_21_0,
author = {Dohi, T. and Othman, F. S. and Kaio, N. and Osaki, Sunji},
title = {The {Lorenz} transform approach to the optimal repair-cost limit replacement policy with imperfect repair},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {21--36},
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Dohi, T.; Othman, F. S.; Kaio, N.; Osaki, Sunji. The Lorenz transform approach to the optimal repair-cost limit replacement policy with imperfect repair. RAIRO - Operations Research - Recherche Opérationnelle, Tome 35 (2001) no. 1, pp. 21-36. http://www.numdam.org/item/RO_2001__35_1_21_0/

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