no. 1
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},
     publisher = {EDP-Sciences},
     volume = {35},
     number = {1},
     year = {2001},
     mrnumber = {1841812},
     zbl = {0993.90031},
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     url = {http://www.numdam.org/item/RO_2001__35_1_21_0/}
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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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