Reliability analysis of linear and consecutive k-out-of-n systems

One of the most important parameters in determining the operational performance of a technical system is the reliability of the system. This parameter can be calculated differently depending on the mutual connections of the components that make up the system. Systems consisting of a combination of parallel and serial components have become more complex with the development of technology. In such systems, theoretically consecutive k-out-of-n technical systems is designed in order to define the connection mechanism of the system. Such systems are characterized by logical or physical connections among components in lines or circles. In this study, we will examine the linear and consecutive k-out-of-n:F(G) systems and try to give the methods used to calculate the reliability of these systems.