Title: Reliability analysis of ((e, f), k, l_c)/(m, n):F system under multiple failure using universal generating function

Authors: K. Meenakshi; S.B. Singh

Addresses: Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India ' Department of Mathematics, Statistics and Computer Science, G.B. Pant University of Agriculture and Technology, Pantnagar, Uttarakhand, India

Abstract: In this paper ((e, f), k, l_c)/(m, n):F system is taken for study under multiple failures. The target system has m and n rows and columns respectively. System fails if any (e, f) sub-matrices fail or any k components fail or consecutive l₂ components within any m rows or n columns fail out of (m, n) matrix. A Markov stochastic process has been applied to obtain probability of components of the systems. Reliability indices such as reliability, mean time to failure and sensitivity analysis of the considered system have been evaluated with the help of universal generating function. Finally, a numerical example is taken to demonstrate the model.

Keywords: ((e,f),k,l_c)/(m,n):F system; reliability; mean time to failure; sensitivity analysis; universal generating function.

DOI: 10.1504/IJRS.2018.094942

International Journal of Reliability and Safety, 2018 Vol.12 No.3, pp.292 - 305

Received: 04 Aug 2017
Accepted: 01 Jun 2018
Published online: 27 Sep 2018 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article