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A stochastic control approach to group preventive replacement in a multicomponent system

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2 Author(s)
Haurie, A. ; Ecole des Hautes Etudes Commerciales, Montreal, P.Q., Canada ; L'Ecuyer, P.

A group preventive replacement problem is formulated in continuous time for a multicomponent system having identical elements. The dynamic programming equation is obtained in the framework of the theory of optimal control of jump processes. For a discrete time version of the model, the numerical computation of optimal and suboptimal strategies of group preventive replacement are done. A monotonicity property of the Bellman functional (or cost-to-go function) is used to reduce the size of the computational problem. Some counterintuitive properties of the optimal strategy are apparent in the numerical results obtained.

Published in:

Automatic Control, IEEE Transactions on  (Volume:27 ,  Issue: 2 )

Date of Publication:

Apr 1982

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