Algebraic reliability of multi-state k-out-of-n systems
Pascual-Ortigosa, P., Saénz-De-Cabezón, E. & Wynn, H. P.
(2021).
Algebraic reliability of multi-state k-out-of-n systems.
Probability in the Engineering and Informational Sciences,
35(4), 903 - 927.
https://doi.org/10.1017/S0269964820000224
(2021).
Algebraic reliability of multi-state k-out-of-n systems.
Probability in the Engineering and Informational Sciences,
35(4), 903 - 927.
https://doi.org/10.1017/S0269964820000224
In this paper, we review different definitions that multi-state k-out-of-n systems have received along the literature and study them in a unified way using the algebra of monomial ideals. We thus obtain formulas and algorithms to compute their reliability and bounds for it. We provide formulas and computer experiments for simple and generalized multi-state k-out-of-n systems and for binary k-out-of-n systems with multi-state components.