Survey of Reliability Studies of Multi-dimensional Consecutive-k-out-of-n:F Systems

Abstract

The linear and circular consecutive-k-out-of-n:F systems (one-dimensional systems) have been extensively studied since the early 1980s. For the first time, Two-dimensional consecutive-k-out-of-n:F systems have been introduced at 1990 by Salvia and Lasher. In this paper, we review studies on evaluating the reliability of multi-dimensional consecutive-k-out-of-n:F systems. Especially, we consider mainly the other systems except connected-(r, s)-out-of-(m, n):F lattice systems, which are typical systems of two-dimensional consecutive-k-out-of-n:F systems.