Displaying similar documents to “The Lorenz Transform approach to the Optimal Repair-Cost limit remplacement Policy with Imperfect Repair”

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

T. Dohi, F. S. Othman, N. Kaio, Sunji Osaki (2001)

RAIRO - Operations Research - Recherche Opérationnelle

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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...

Two hedging points policy for an unreliable manufacturing system

Ryszarda Rempała (2002)

Applicationes Mathematicae

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This paper deals with an unreliable manufacturing system in which limited backlog is allowed. An admissible production policy is described by two decision parameters: upper and lower hedging points. The objective is to find the optimum hedging points so as to minimize the long run average expected cost under an additional condition. The condition expresses a constraint for the limiting probability of the event that the system stays at the lower hedging point, which corresponds to a limit...