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ON THE COMPARISON OF PERFORMANCE-PER-COST FOR COHERENT AND MIXED SYSTEMS

Published online by Cambridge University Press:  19 May 2020

Bo H. Lindqvist Open the ORCID record for Bo H. Lindqvist [Opens in a new window] ,
Francisco J. Samaniego  and
Nana Wang
Bo H. Lindqvist
Affiliation:
Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway E-mail: bo.lindqvist@ntnu.no
Francisco J. Samaniego
Affiliation:
Department of Statistics, University of California, Davis, CA, USA
Nana Wang
Affiliation:
Department of Statistics, University of California, Davis, CA, USA
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Abstract

The present paper is concerned with reliability economics, considering a certain performance-per-cost criterion for coherent and mixed systems, as introduced in [Dugas, M.R. & Samaniego, F.J. (2007). On optimal system designs in reliability-economics frameworks. Naval Research Logistics 54, 568–582]. We first present a new comparison result for performance-per-cost of systems with independent and identically distributed component lifetimes under certain stochastic orderings. We then consider optimization of the performance-per-cost criterion, first reconsidering and refining results from the above cited paper, and then considering mixtures of given subsets of coherent systems.

Keywords

coherent systemmixed systemordering of random variablesreliability economicssystem signature
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 35 , Issue 4 , October 2021 , pp. 867 - 884
Copyright
Copyright © The Author(s), 2020. Published by Cambridge University Press

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