Consecutive K-Within System With Exchangeable Components

Abstract

As a generalization of k-out-of-n:F and consecutive k-out-of-n:F systems, the consecutive k-within-m-out-of-n:F system consists of n linearly ordered components Such that the system fails iff there are in consecutive components which include among them at least k failed components. In this article, the reliability properties of consecutive k-within-m-out-of-n:F Systems with exchangeable components are studied. The bounds and approximations for the Survival function ire provided. A Monte Carlo estimator of system signature is obtained and used to approximate survival function. The result.,; are illustrated and numerics are provided for an exchangeable multivariate Pareto distribution. (C) 2009 Wiley Periodicals, Inc. Naval Research Logistics 56: 503-510, 2009