ABSTRACT
Systems where n components are connected in a circular (linear) manner in way that the system fails if k or more consecutive components fail are called circular (linear) consecutive-k-out-of-n:F systems. Figure 1 shows the failure state of a circular and linear consecutive-k-out-of-n:F system. Chang et al., (2000) and Kuo & Zuo (2002) have described some practical examples of such systems. For example, a telecommunication system, an oil pipeline system, a vacuum system in an electron accelerator, and photographing of a nuclear accelerator are introduced as practical examples of circular consecutive-k-out-of-n:F systems.
