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The Lorenz transform approach to the optimal repair-cost limit replacement policy with imperfect repair

T. DohiF. S. OthmanN. KaioSunji Osaki — 2001

RAIRO - Operations Research - Recherche Opérationnelle

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...

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

T. DohiF. S. OthmanN. KaioSunji Osaki — 2010

RAIRO - Operations Research

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...

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