Linear Consecutive-k-out-of-n: G System Reliability Analysis

The concerned study pertains to the development of a new stochastic model for reliability analysis linear consecutive-k-out-of-n: G system, where k>n2. In developed model, system may collapse as result common cause failure or hardware in its units. has exponentially distributed rates, and case breakdown, it is repaired with copula method. been examined through supplementary variable technique (SVT) along Laplace transform. current paper specifically studied consecutive-(n-1)-out-of-n: system. performance such having ten components explored various measures have obtained discussed help graphs. originality this work lies incorporating conjunction repair modeling consecutive systems SVT. confirms that an increase rates number decreases mean time (MTTF). profit consecutive-9-out-of-10: numerical example.