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Most available models for multistate coherent systems (MCS) assume that the state sets of the system and its components are totally ordered-an assumption that greatly limits the application of the usual MCS models. This paper presents a new MCS model-a generalized multistate coherent system (GMCS) model-which assumes, more generally, that the state sets of the system and its components are partially ordered. Since the structure of a partially ordered set is very flexible, the model applies to the reliability analysis of various multistate coherent systems. As a result, the GMCS model generalizes the coherent system theory from the binary-state case to the multistate case. The authors investigate some of the properties of this generalized model. Then, system reliability is redefined and bounds for its evaluation are derived.>
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Yu et al. (1994) studied this question.
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