Journal of Systems Science and Systems Engineering

, Volume 19, Issue 3, pp 277–284

Reliability of linear (n, f, k) systems with weighted components


DOI: 10.1007/s11518-010-5131-0

Cite this article as:
Eryilmaz, S. & Aksoy, T. J. Syst. Sci. Syst. Eng. (2010) 19: 277. doi:10.1007/s11518-010-5131-0


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.


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

Copyright information

© Systems Engineering Society of China and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of MathematicsIzmir University of EconomicsIzmirTurkey
  2. 2.Faculty of Computer Science and EngineeringSabanci UniversityİstanbulTurkey

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