An efficient alternative to the exact evaluation of the quickest path flow network reliability problem

2016 ◽  
Vol 76 ◽  
pp. 22-32 ◽  
Author(s):  
M. El Khadiri ◽  
W.-C. Yeh
Author(s):  
Shin-Guang Chen

A stochastic-flow network (SFN) is a network whose flow has stochastic behavior or probabilistic multi-states. A timed stochastic-flow network (TSFN) is a SFN whose flow spends time to go through the network. Traditionally, the evaluation of network reliability does not consider time consumption for the flow to get through the network. However, there are lots of daily-life networks which can be regarded as TSFNs, such as the transportation network, the production network, etc. Their flow spends time to get through the network, and they are not yet explored in the literature. This paper proposes approaches to evaluate the reliability of such networks. Some numerical examples are discussed to illustrate the proposed method.


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