Ioannis S. Triantafyllou
Department of Computer Science & Biomedical Informatics, University of Thessaly, Lamia, Greece.

DOI https://doi.org/10.33889/IJMEMS.2021.6.1.006

  ;

Abstract

In the present paper we carry out a reliability study of the constrained (k, d)-out-of-n: F systems with exchangeable components. The signature vector is computed by the aid of the proposed algorithm. In addition, explicit signature-based expressions for the corresponding mean residual lifetime and the conditional mean residual lifetime of the aforementioned reliability system are also provided. For illustration purposes, a well-known multivariate distribution for modelling the lifetimes of the components of the constrained (k, d)-out-of-n: F structure is considered.

Keywords- Constrained (k,d)-out-of-n: F structures, Samaniego’s signature, Monte-Carlo simulation, Mean residual lifetimes, Conditional mean residual lifetimes, Multivariate Pareto model.

Citation

Triantafyllou, I. S. (2021). On the Lifetime and Signature of Constrained (k, d)-out-of-n: F Reliability Systems. International Journal of Mathematical, Engineering and Management Sciences, 6(1), 66-78. https://doi.org/10.33889/IJMEMS.2021.6.1.006.