Multistate reliability theory—a case study

Reliability Analysis for the Multistate Systems

Case-control study of a multistate equine herpesvirus myeloencephalopathy outbreak.

BACKGROUND A large multistate outbreak of equine herpesvirus myeloencephalopathy (EHM) occurred in May 2011 among horses that participated in a competitive event. OBJECTIVE To identify EHM risk factors among horses with a common exposure venue. ANIMALS A total of 123 horses: 19 horses with EHM, 14 equine herpesvirus-1 cases with no reported neurologic signs, and 90 control horses. METHODS...

A Note on Some Reliability Bounds for Multistate Systems

Maymin (1987) proved that for binary systems the path-cut lower bound is sharper than the minimax lower bound when the components are all highly reliable, which was originally conjectured by Barlow and Proschan (1981). This motivates us to consider the problem that whether this property for binary systems remains valid for the more general and complicated multistate systems. An example is const...

Performance Evaluation of Infrastructure Networks with Multistate Reliability Analysis

The purpose of this paper is to present a multistate reliability approach to evaluate the performance of the infrastructure networks from the viewpoint of reliability. There are many infrastructure networks that follow the classical two-terminal network reliability problem. We present a relatively efficient algorithm to find a subset of lower boundary points and then use them to develop lower b...

On the Reliability of Multistate Systems with Imprecise Probabilities

We consider the computation of multistate systems reliabilities in the presence of random set estimations for the elements' working abilities. It turns out that the Dempster-Shafer (DS) approach is a suitable mathematical tool. For the case that the interdependence of the elements is unknown, bounds for the system's performance belief and plausibility functions are given as well.