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Semi-Markov shock models with additive damage

Published online by Cambridge University Press:  01 July 2016

M. J. M. Posner  and
D. Zuckerman
M. J. M. Posner*
Affiliation:
University of Toronto
D. Zuckerman*
Affiliation:
Hebrew University of Jerusalem
*
∗Postal address: Department of Industrial Engineering, University of Toronto, Toronto, Ont., M5S 1A4, Canada.
∗∗Present address: Faculty of Commerce and Business Administration, The University of British Columbia, 2053 Main Mall, Vancouver BC, V6T 1Y8, Canada.
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Abstract

We examine a replacement model for a semi-Markov shock model with additive damage. Sufficient conditions are given for the optimality of control limit policies. The paper generalizes and unifies previous research in the area.

In addition, we investigate in detail the practical modelling and computational aspects of the replacement problem using a semi-Markov modelling structure.

Keywords

OPTIMAL REPLACEMENTCONTROL LIMIT POLICYMARKOV RENEWAL PROCESSOPTIMAL STOPPINGINFINITESIMAL KILLING RATELEXICOGRAPHIC ORDER
Type
Research Article
Information
Advances in Applied Probability , Volume 18 , Issue 3 , September 1986 , pp. 772 - 790
Copyright
Copyright © Applied Probability Trust 1986 

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