1993•Applied Stochastic Models and Data AnalysisRequires access

Minimax design of two‐state k‐out‐of‐n systems

Vassilis S. Kouikoglou, Yannis A. Phillis

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Abstract

Abstract The optimal size of k is specified for two‐state k‐out‐of‐n systems that may be functioning or fail in either state. It is assumed that the steady‐state, success and failure probabilities are not known exactly. The problem is reduced to finding the saddle‐point solution to a minimax optimization problem. An example shows that the minimax design is robust with regard to uncertainty.

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Abstract The optimal size of k is specified for two‐state k‐out‐of‐n systems that may be functioning or fail in either state. It is assumed that the steady‐state, success and failure probabilities are not known exactly. The problem is reduced to finding the saddle‐point solution to a minimax optimization problem. An example shows that the minimax design is robust with regard to uncertainty.

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Available abstract

Abstract The optimal size of k is specified for two‐state k‐out‐of‐n systems that may be functioning or fail in either state. It is assumed that the steady‐state, success and failure probabilities are not known exactly. The problem is reduced to finding the saddle‐point solution to a minimax optimization problem. An example shows that the minimax design is robust with regard to uncertainty.

Key concepts: Minimax, Saddle point, Mathematics, State (computer science), Mathematical optimization, Saddle, Applied mathematics, Combinatorics

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