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Optimal replacement policy for obsolete components with general failure rates

Abstract : Identical components are considered, which become obsolete once new-type ones are available, more reliable and less energy consuming. We envision different possible replacement strategies for the old-type components by the new-type ones: either purely preventive, where all old-type components are replaced as soon as the new-type ones are available; either purely corrective, where the old-type ones are replaced by new-type ones only at failure; or a mixture of both strategies, where the old-type ones are first replaced at failure by new-type ones and next simultaneously preventively replaced after a fixed number of failed old-type components. To evaluate the respective value of each possible strategy, a cost function is considered, which represents the mean total cost on some finite time interval [0, t]. This function takes into account replacement costs, with economical dependence between simultaneous replacements, and also some energy consumption (and/or production) cost, with a constant rate per unit time. A full analytical expression is provided for the cost function induced by each possible replacement strategy. The optimal strategy is derived in long-time run. Numerical experiments conclude the paper. Copyright (C) 2008 John Wiley & Sons, Ltd.
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Submitted on : Tuesday, May 1, 2012 - 7:55:03 PM
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Sophie Mercier. Optimal replacement policy for obsolete components with general failure rates. Applied Stochastic Models in Business and Industry, Wiley, 2008, 24 (3), pp.221--235. ⟨10.1002/asmb.706⟩. ⟨hal-00693070⟩

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