Reliability Study of <n, f, 2> Systems: A Generating Function Approach

Abstract

In this paper we carry out a reliability study of the <n, f, 2> systems with independent and identically distributed components ordered in a line. More precisely, we obtain the generating function of structure’s reliability, while recurrence relations for determining its signature vector and reliability function are also provided. For illustration purposes, several numerical results are presented and some figures are constructed and appropriately commented. © 2021. International Journal of Mathematical, Engineering and Management Sciences. Uses under the Creative Commons Attribution 4.0 International (CC BY 4.0) license at https://creativecommons.org/licenses/by/4.0/.