The Lorenz Transform approach to the Optimal Repair-Cost limit remplacement Policy with Imperfect Repair
Department of Industrial and Systems Engineering,
Hiroshima University, 4-1 Kagamiyama 1 Chome, Higashi-Hiroshima
739-8527, Japan; firstname.lastname@example.org.
2 Department of Economic Informatics, Hiroshima Shudo University, 1-1-1 Ozukahigashi, Asaminami-ku, Hiroshima 731-3195, Japan.
Accepted: December 2000
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.
Mathematics Subject Classification: 90B25 / 62N05 / 62N02
Key words: Repair-cost limit / imperfect repair / Lorenz transform / nonparametric estimation / maintenance policy.
© EDP Sciences, 2001