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Optimal replacement times — a general set-up

Published online by Cambridge University Press:  14 July 2016

Terje Aven  and
Bo Bergman
Terje Aven
Affiliation:
University of Oslo
Bo Bergman*
Affiliation:
Linköping Institute of Technology
*
∗∗Postal address: Linköping Institute of Technology, S-58188 Linköping, Sweden.
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Abstract

For a large class of replacement models for stochastically deteriorating systems the optimality criteria of total expected discounted cost and long-run (expected) average cost per unit time have a common structure. In the present paper a formal description of this structure is given and the optimal rule is determined. A so-called ‘λ -minimization technique' is applied. This method is discussed in general terms.

Keywords

AVERAGE COSTEXPECTED DISCOUNTED COSTSTOPPING TIMEOPTIMIZATIONλ-PROBLEMS
Type
Research Paper
Information
Journal of Applied Probability , Volume 23 , Issue 2 , June 1986 , pp. 432 - 442
Copyright
Copyright © Applied Probability Trust 1986 

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Footnotes

∗

Present address: Rogaland College, P.O. Box 2540, Ullandhaug, 4001 Stavanger, Norway.

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