Journal Article10.2307/3212967
Multistate reliability models
335
TL;DR: In this paper, three types of coherence based on the strength of the relevancy axiom are studied, and the effect of component improvement on system performance is studied using a generalization of Birnbaum's reliability importance.
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Abstract: In this paper an axiomatic development of multistate systems is presented. Three types of coherence based on the strength of the relevancy axiom are studied. The strongest of these has been investigated previously by El-Neweihi, Proschan, and Sethuraman [3]. One of the weaker types of coherence permits wider applicability to real life situations without sacrificing any of the mathematical results obtained by El-Neweihi, Proschan, and Sethuraman. The concept of system performance is formalized through expected utility and the effect of component improvement on system performance is studied using a generalization of Birnbaum's reliability importance. RELIABILITY; MULTISTATE COMPONENTS; MULTISTATE COHERENT SYSTEMS; COMPONENT IMPORTANCE
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Citations
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On Multistate System Analysis
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References
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TL;DR: In this paper, the theory of binary coherent systems is generalized for multi-state components, where the system state is defined to be the state of the worst component in the best min path, or equivalently, the best components in the worst min cut.
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TL;DR: Basic theory is developed for the study of systems of components in which any of a finite number of states may occur, representing at one extreme perfect functioning and at the other extreme complete failure.
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Multivalued State Component Systems
TL;DR: In this article, the authors consider a system composed of n components, each of which is operating at some performance level, and obtain fundamental inequalities concerning increasing failure rate average distributions including the convolution and system closure theorem.
•Book
Statistical Theory of Reliability and Life Testing: Probability Models
Richard E. Barlow,Frank Proschan +1 more
- 01 Jun 1981
TL;DR: A number of new classes of life distributions arising naturally in reliability models are treated systematically and each provides a realistic probabilistic description of a physical property occurring in the reliability context, thus permitting more realistic modeling of commonly occurring reliability situations.