Reliability Analysis Of Multi-state Systems With Spatial Dependence

Based on the operating process of large intelligent air conditioning system two multi-state systems with spatial dependence are proposed in this dissertation.Reliability analysis of them are made.The first is a 6-component lattice load-sharing Markov repairable system with spatial dependence.The components in the system are the same and are arranged in two lines.The performance of each component depends not only on its “neighbors”,but also the number of fault components on the other line.The operating process of the system is described by Markov process.The availability of the system is obtained via using Markov process and Laplace transform.The results are illustrated by a numerical example.The availability and the probabilities of visiting four state sets are given.Sensitivity analysis are discussed in the numerical example.The second is a 6-component circular multi-state system with spatial dependence.The operating probabilities and performance levels of each component of the system vary with the fault number of its two “neighbors”,but the failure probability is unchanged.The conditional UGF associated the number of fault components and method of arrangement are given.The UGF of the system is obtained by using the total probability law.Several reliability indices of the system are given.A numerical example is given to illustrate the results and sensitivity analysis are also performed.The research of this dissertation can provide reference for the reliability evaluation,maintenance planning and optimization,management of the large intelligent air conditioning system.