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ON OPTIMAL HETEROGENEOUS COMPONENTS GROUPING IN SERIES-PARALLEL AND PARALLEL-SERIES SYSTEMS

Published online by Cambridge University Press:  28 December 2018

Xiaoliang Ling ,
Yinzhao Wei  and
Ping Li
Xiaoliang Ling
Affiliation:
College of Sciences Hebei University of Science and TechnologyShijiazhuang 050018China E-mail: [email protected]
Yinzhao Wei
Affiliation:
College of Sciences Hebei University of Science and TechnologyShijiazhuang 050018China E-mail: [email protected]
Ping Li
Affiliation:
School of Business Hebei Normal UniversityShijiazhuang 050024China
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Abstract

In this paper, we consider optimal components grouping in series–parallel and parallel–series systems composed of k subsystems. All components in each subsystem are drawn from a heterogeneous population consisting of m different subpopulations. Firstly, we show that when one allocation vector is majorized by another one, then the series–parallel (parallel–series) system corresponding to the first (second) vector is more reliable than that of the other. Secondly, we study the impact of changes in the number of subsystems on the system reliability. Finally, we study the influence of the selection probabilities of subpopulations on the system reliability.

Keywords

heterogeneous populationmajorization orderparallel–series systemseries–parallel systemstochastic orders
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 33 , Issue 4 , October 2019 , pp. 564 - 578
Copyright
Copyright © Cambridge University Press 2018 

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