Optimal Assignment of Components to Parallel-Series and Series-Parallel Systems
V. Rajendra Prasad, K. P. K. Nair, Y. P. Aneja
Operations Research · 1991 · Volume 39 · Issue 3
Abstract
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.
Keywords
reliability: optimal allocation of components in reliability systems
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