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Standby Redundancy Allocations in Series and Parallel Systems

Part of: Operations research and management science Survival analysis and censored data

Published online by Cambridge University Press:  14 July 2016

Neeraj Misra ,
Amit Kumar Misra  and
Ishwari Dutt Dhariyal
Neeraj Misra*
Affiliation:
Indian Institute of Technology Kanpur
Amit Kumar Misra*
Affiliation:
Indian Institute of Technology Kanpur
Ishwari Dutt Dhariyal*
Affiliation:
Indian Institute of Technology Kanpur
*
∗Postal address: Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India.
∗Postal address: Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India.
∗Postal address: Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India.
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Abstract

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To enhance the performance of a system, a common practice employed by reliability engineers is to use redundant components in the system. In this paper we compare lifetimes of series (parallel) systems arising out of different allocations of one or two standby redundancies. These comparisons are made with respect to the increasing concave (convex) order, the hazard rate order, and the stochastic precedence order. The main results extend some related conclusions in the literature.

Keywords

Hazard rate orderIFRincreasing concave (convex) orderlikelihood ratio orderreversed hazard rate orderstochastic precedence orderusual stochastic order

MSC classification

Secondary: 62N05: Reliability and life testing 90B25: Reliability, availability, maintenance, inspection
Type
Research Article
Information
Journal of Applied Probability , Volume 48 , Issue 1 , March 2011 , pp. 43 - 55
Copyright
Copyright © Applied Probability Trust 2011 

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