Estimation of Reliability for Parallel Networked Phased Mission Systems with Unobserved Subsystem Operational Times

A complex system consisting of k phases is considered in this study. Its functioning is such that the control shifts sequentially within different phases to complete their assigned task. Missiles, rockets and electronic exploders used to fire electric detonators are examples of such systems. The components in different subsystems are in a parallel configuration. Their lifetimes are assumed to be independent and identical random variables that follow exponential distribution. The distribution function of system operational time is obtained when all subsystem operational times are unobserved. The method of maximum likelihood is used to estimate unknown parameter of system operational time's distribution. An estimate of system reliability is provided through simulations.