Exact Failure Probability Formula for Strict Consecutive-k-out-of-n : F Systems with Homogeneous Markov Dependence

An exact formula is presented for calculating the failure probability of strict consecutive k out of n:F systems with homogeneous Markov dependence

Exact Reliability Formulas for Linear Consecutive-k-out-of-n: F Systems

A consecutive k out of n: F System, with n linearly arranged i. i. d. components, is examined. This paper gives an exact formula for computing the system's reliability directly. Complexity of this algorithm is an O(n k). Further more, the system's reliability can be computed more quickly and more effectively from this formula than those previously given.