The Study On Modeling Multi-state System And Model Solution

With the advancement of science and technology and the development of society, the scales of modern industrial systems are larger and the structures are more complicated. Establishing such complicated systems, scientific reliability argumentation is critically important in the feasibility argumentation before establishment. In order to maintain such complicated systems normal operation and reduce the trouble rate, the systems reliability analysis is necessary.Modern large-scale systems are distinguished by their structural complexity. Many of them can perform the task at several different levels. In this case the system failure can lead to decreased capability to perform a given task, but not to complete failure. A system which can have some different task performance levels is named Multi-state System (MSS). In real engineering problems, the failure of many systems or parts is graduated, there are different failure levels. In the traditional reliability study, much work was devoted to the binary-state reliability analysis, where only the complete failures are considered. With the development of reliability theory, it is more important to study Multi-state Systems reliability.This paper study the reliability of multi-state-node and multi-state-arc acyclic network systems, and gives the computing methods, firstly, determining all paths of multi-state system using backdating method, secondly, computing all paths reliability, last, computing system reliability by paths reliability. Emulation examples verify the feasibility and validity of the method, it will provide searching basis for multi-state acyclic network systems reliability optimization. Studying multi-state-arc connected network systems, and gives a method of determining reliability of all spanning trees of multi-state-arc connected network, and then computing the performance reliability of multi-state-arc connected network Emulation examples will verify that the method is one kind of feasible and effective computing the performance reliability. Studying multi-state-node directed acyclic network systems, and gives a method of determining reliability of all minimal trees of multi-state-node directed acyclic network systems, and then gives the method of computing the performance reliability of multi-state-node directed acyclic network. Emulation examples will verify that the method is one kind of feasible and effective computing the performance reliability.