Article ID: | iaor20052999 |
Country: | France |
Volume: | 35 |
Issue: | 1 |
Start Page Number: | 21 |
End Page Number: | 36 |
Publication Date: | Jan 2001 |
Journal: | RAIRO Operations Research |
Authors: | Kaio N., Dohi T., Othman F.S., Osaki Sunji |
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.