Journal of Systems Science and Systems Engineering
, Volume 19, Issue 3, pp 277284
Reliability of linear (n, f, k) systems with weighted components
 Serkan EryilmazAffiliated withDepartment of Mathematics, Izmir University of Economics Email author
 , Timur AksoyAffiliated withFaculty of Computer Science and Engineering, Sabanci University
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The (n, f, k): F(G) system consists of n components and the system fails (works) if and only if there are at least f failed (working) components or at least k consecutive failed (working) components. These system models can be used in electronic equipment, automatic payment systems in banks, and furnace systems. In this paper we introduce and study the (n, f, k):F and (n, f, k): G systems consisting of weighted components. Recursive equations are presented for reliability evaluation of these new models. We also provide some conditions on the weights to represent weighted(n, f, k) systems as usual (n, f, k) systems.
Keywords
Consecutiveweightedkoutofn systems system reliability weightedkoutofn systems weighted(n, f, k) systems Title
 Reliability of linear (n, f, k) systems with weighted components
 Journal

Journal of Systems Science and Systems Engineering
Volume 19, Issue 3 , pp 277284
 Cover Date
 201009
 DOI
 10.1007/s1151801051310
 Print ISSN
 10043756
 Online ISSN
 18619576
 Publisher
 SP Systems Engineering Society of China
 Additional Links
 Topics
 Keywords

 Consecutiveweightedkoutofn systems
 system reliability
 weightedkoutofn systems
 weighted(n, f, k) systems
 Authors

 Serkan Eryilmaz ^{(1)}
 Timur Aksoy ^{(2)}
 Author Affiliations

 1. Department of Mathematics, Izmir University of Economics, Izmir, Turkey
 2. Faculty of Computer Science and Engineering, Sabanci University, İstanbul, Turkey