ABSTRACT
Reliability theory is a key tool for engineering systems and their application in various fields. In previous years, many researchers computed reliability of different systems, including basic systems such as series and parallel; k-out-of-n system is the special case of series parallel system. If n components are working, it is called a series system, and if one component is working, it is called a parallel system. Chiang and Niu (1981) considered a consecutive k-out-of-n system and computed the exact reliability of the system with upper and lower form and found that if k consecutive components fail, the system also fails. Hwang (1982) studied the consecutive k-out-of-n:F system; when at least k consecutive components have failed then the system has also failed. A solution to the proposed system was defined in the case of reliability analysis. Fu (1985) computed the system reliability for large consecutive k-out-of-n:F with the help of an equal number of failure components. Zhang (1988) studied the different cases of linear consecutive k-out-of-n:G systems and discussed the reliability function and mean time to failure. Kossow and Preuss (1989) proposed a consecutive k-out-of-n:F system with n components in sequence and evaluated the reliability in linear and circular cases.
