Computations of the signature reliability of the coherent system

Purpose The purpose of this paper is to compute the signature reliability of the coherent systems. Design/methodology/approach The considered k -out-of- n coherent system consists of n number of elements connected in series. With the help of these systems, the authors have evaluated a mathematical structure using universal generating function. Findings Using the universal generating function technique, the authors evaluate tail signature, Barlow-Proschan index, expected lifetime and expected cost. Originality/value In this paper, the authors have developed a coherent systems based on the universal generating function technique.