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Discrete Dynamics in Nature and Society
Volume 2016 (2016), Article ID 3175269, 9 pages
Research Article

Availability Equivalence Analysis of a Repairable Multistate Parallel-Series System with Different Performance Rates

1College of Science, Yanshan University, Qinhuangdao 066004, China
2School of Economics and Management, Yanshan University, Qinhuangdao 066004, China

Received 23 March 2016; Accepted 8 May 2016

Academic Editor: Filippo Cacace

Copyright © 2016 Linmin Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper extends the concept of availability equivalence from general binary system to discrete multistate system with different performance rates. It considers a repairable discrete multistate parallel-series system with different performance rates. The system availability is defined as the ability of the system to satisfy consumer demand. The universal generating function technique is adopted to derive the availability of both original and improved systems according to factor method and standby redundancy method. Two types of availability equivalence factors of the system are analyzed. A numerical example is presented to illustrate the theoretical results obtained in this paper.