Reliability and availability of a repairable lattice system

A lattice system in this paper is a system whose components are ordered lik e the elements of (m, n) matrix. A representative example of a lattice syst em is a connected-(r, s) out-of-(m, n):F lattice system which is treated as a model of supervision system. It fails if and only if all components in a n (r, s) sub lattice fail. We modify the lattice system so as to include a maintenance action and a restriction on the number of failed components. Th en, this paper presents availability and MTBF of the repairable system, and reliability when the system stocks spare parts on hand to ensure the speci fied reliability level.