Optimal reliability allocation for redundancy series-parallel systems

Saad Abbas Abed, Constantin Udriste, Ionel Tevy

Abstract

This paper examines the optimal reliability approaches to allocate the reliability values based on minimization of the total cost for a series-parallel systems. The problem is approached as a nonlinear programming problem and general costs formulas were suggested. The original results include: (i) submersion of a ”series-parallel system” into a ”series system”, (ii) detailed analyse of a series-parallel system whose components of each subsystem have the same reliability; (iii) designing series-parallel systems by similarities with other engineering problems; (iv) dualities between reliability systems and electric circuits.

Keywords

Reliability Allocation, Optimality Conditions, Duality, Similarities

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