Research on the model of a multistate aggregated Markov repairable system

In theory and practice, system performance is one of the most important issues. Therefore, a series of indexes has been proposed for evaluating the system performance, such as availability. However, these indexes still cannot meet the variant requirements in the reliability and other fields. The purpose of the article is to develop some theoretical results that may be used in modeling the evolution of system performance. So, based on the aggregated stochastic process theory, some new indexes are introduced and established in Markov repairable systems. In this model, the state space is partitioned into working subset W and failure subset F. The system is regarded as stable if the state of system enters one subset, either W or F, at any instance and sojourns within the subset exceeding a given non-negative threshold [Formula: see text]. Otherwise, the system is regarded as unstable. Under these assumptions, the concepts of point-wise and interval-wise are proposed, and the computation formulae of two types of indexes are derived in the theory. Finally, a special case and a few of numerical examples are given to illustrate the results obtained in the paper.

Reliability Analysis of 6-Component Star Markov Repairable System with Spatial Dependence

Star repairable systems with spatial dependence consist of a center component and several peripheral components. The peripheral components are arranged around the center component, and the performance of each component depends on its spatial “neighbors.” Vector-Markov process is adapted to describe the performance of the system. The state space and transition rate matrix corresponding to the 6-component star Markov repairable system with spatial dependence are presented via probability analysis method. Several reliability indices, such as the availability, the probabilities of visiting the safety, the degradation, the alert, and the failed state sets, are obtained by Laplace transform method and a numerical example is provided to illustrate the results.

The Evaluation of Communication Network Reliability Based on Markov Process

This paper introduces the general model of Markov repairable system, combined with the typical design of 750kV substation communication system, put forward the Markov general model for 750kV substation communication system, a communication system reliability evaluation system based on the state of the equipment. Sensitivity analysis of the equipment failure rate and repair rate parameters on the system reliability, the failure rate and repair rate impact on system reliability, to develop communication system state maintenance, and provide a method to improve the reliability of system.