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This paper deals with the problem of assigning components to parallel-series (PS) and series-parallel (SP) systems so as to maximize the system's reliability. We assume that any component can be assigned to any position of the system and the reliability of component j is r i p j if it is assigned to position i. Exploiting the nature of Schur-convex functions, an algorithm is developed to obtain an optimal assignment for PS systems. Also, a simple optimal assignment rule is derived for SP systems with only two positions in each minimal cutset and with component reliabilities invariant of positions.
Prasad et al. (Sat,) studied this question.
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