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Paper Information

Journal:   IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION B- ENGINEERING   2004 , Volume 28 , Number B2; Page(s) 191 To 199.
 
Paper: 

A NEW APPROACH IN SYSTEM RELIABILITY EVALUATION, SHORTESTPATHOFE-NETWORKS

 
 
Author(s):  AZARON A.*, MODARES MOHAMMAD
 
* Universityof Bu-Ali-Sina,Hamadan, I. R. ofIran
 
Abstract: 
By applying shortest path analysis in stochastic networks,we introduce a new approach to obtain the reliability function of time-dependent systems. We assume that not all elements of the system are set to function from the beginning. Upon the failure of each element of the active path in the reliability graph, the system switches to the next path. Then, the corresponding elements are activated, and consequently, the connection between the input and the output is established. It is also assumed that each element exhibits a constant hazard rate and its lifetime is a random variable with exponential distribution. To evaluate the system reliability, we construct a directed stochastic network called E-network, in which each path corresponds with a minimal cut of the reliability graph. We also prove that the system failure function is equal to the distribution function of the shortest path of E-network. The shortest path of this new constructed network is determined analytically by using continuous time Markov processes.
 
Keyword(s): SYSTEM RELIABILITY, STAND BY REDUNDANCY, SHORTEST PATH, MARKOV PROCESSES
 
References: 
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