Title :
Generalized multistate monotone coherent systems
Author :
Yu, Kai ; Koren, Israel ; Guo, Yuqing
Author_Institution :
Massachusetts Univ., Amherst, MA, USA
fDate :
6/1/1994 12:00:00 AM
Abstract :
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
Keywords :
reliability theory; stochastic processes; system theory; binary-state case; cut-set vector; deterministic properties; generalized multistate coherent system model; multistate monotone coherent systems; partially ordered set; path-set vector; reliability analysis; reliability bounds; reliability evaluation; stochastic performance; system reliability; Degradation; Distributed processing; File servers; Reliability theory; Set theory; State-space methods; System performance; Valves;
Journal_Title :
Reliability, IEEE Transactions on
