Article

Journal of Systems Science and Systems Engineering

, Volume 19, Issue 3, pp 277-284

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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Abstract

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

Consecutive-weighted-k-out-of-n systems system reliability weighted-k-out-of-n systems weighted-(n, f, k) systems