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Redundancy optimization for series-parallel multi-state systems

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4 Author(s)
Levitin, G. ; Planning Dev. & Technol. Div., Israel Electr. Corp. Ltd., Haifa, Israel ; Lisnianski, A. ; Ben-Haim, H. ; Elmakis, D.

This paper generalizes a redundancy optimization problem to multi-state systems, where the system and its components have a range of performance levels-from perfect functioning to complete failure. The components are: (1) chosen from a list of products available in the market; and (2) characterized by their nominal performance level, availability and cost. System availability is represented by a multi-state availability function, which extends the binary-state availability. To satisfy the required multi-state system availability, the redundancy for each component can be used. A procedure which determines the minimal-cost series-parallel system structure subject to a multi-state availability constraint is proposed. A fast procedure is developed, based on a universal generating function, to evaluate the multi-state system availability. Two important types of systems are considered and special operators for the universal generating function determination are introduced. A genetic algorithm is used as an optimization technique. Examples are given

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Reliability, IEEE Transactions on  (Volume:47 ,  Issue: 2 )