Reliability of a coherent system equipped with two cold standby components

Abstract

In this paper, we focus on a particular type of coherent system which may fail either on the failure of its first component or on the failure of its second component. We investigate the renewal of such a coherent system using two cold standby components. We obtain the reliability function of the considered coherent system which is equipped with two cold standby components. We study the problem to optimize the reliability of the system. Some stochastic ordering results are also presented. Examples are provided to illustrate the theoretical results presented in this study. Our results subsume some of the earlier results in the literature.