A unified theory for coherent systems in reliability part III: Two special cases for multinary systems—binary‐type coherence and homogeneous coherence

N. Mazars

Applied Stochastic Models and Data Analysis, 1992, vol. 8, issue 2, 99-119

Abstract: As shown in a companion‐paper,1 binary and multinary coherent systems can be studied with unified arguments, through monotone binary coherent systems. These are binary coherent systems submitted to some monotone constraint and generalize the classic theory of free binary coherent systems. By considering the unified point of view thus obtained, this paper gives what is perhaps the most suggestive representation for multinary coherent systems, since this extends the definition of binary coherent systems in terms of series‐parallel (parallel‐series) structures. Then, this paper examines the special case of multinary systems that can be studied directly with the classic theory of free binary coherent systems. It thus enlarges and complements, in a shorter unified manner, the particular cases considered in earlier studies.

Date: 1992
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