Reliability evaluation of combined k-out-of-n:F, consecutive-k-out-of-n:F, and linear connected-(r, s)-out-of-(m, n):F system structures

Based on a real industrial application, 3 new system reliability models are proposed: combined k-out-of-n :F and consecutive-k(c)-out-of-n :F system? combined k-out-of-m . n:F and linear connected-(r, s)-out-of-(m, n): F system, combined k-out-of-m . n: F, consecutive-k(c)-out-of-n : F and linear connected-(r, s)-out-of-(m, n):F system. Reliability evaluation algorithms are provided for these models. The computation times of the algorithms for these models are, respectively: . O(n. k), . O(k . n . (2(m) . s(m-r+1)) . O(k . n . (2k(c))(m) . s(m-r+1)), The algorithms are used for system reliability evaluation of furnace systems. The concept of the combined k-out-of-n : F and 1-dimensional and 3-dimensional consecutive-k-out-of-n : F systems can be extended to other variations of the consecutive-k-out-of-n systems, e.g., the consecutive-k-out-of-n : G system and 1-dimensional and 2-dimensional r-within-k-out-of-n : F systems, The concept of Markov Chain Imbeddable (MIS) systems is another excellent tool that can be used for analysis of such combined system structures.