New approximate solutions per unit of time for periodically checked systems with different lifetime distributions.

Rodrigues Dias, J.

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

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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...