Reliability Assessment for Aging Multi-state System under Stochastic Demand by Using Lz-transform  
Author A. Lisnianski




Abstract The paper presents a new method for reliability assessment for complex aging multi-state system under stochastic demand. The system and its components can have different performance levels ranging from perfect functioning to complete failure and, so it is treated as a multi-state system. The system has some components with increasing failure rate. Demand is not constant and is treated as multilevel discrete-state continuous-time stochastic process. Straightforward Markov method applied to solve the problem will require building of the system model with great number of states and solving a corresponding system of differential equations. Lz-transform method, which is used for reliability assessment drastically simplified the solution


Keywords reliability, multi-state system, stochastic demand, Lz-transform method, universal generating function
    Article #:  1834
Proceedings of the 18th ISSAT International Conference on Reliability and Quality in Design
July 26-28, 2012 - Boston, Massachusetts, U.S.A.