On Reliability Evaluation of a Timed Stochastic-Flow Network  
Author Shin-Guang Chen




Abstract This paper proposes a method to evaluate the reliability of a special kind of stochastic- ow networks, namely Timed Stochastic-Flow Network. A timed stochastic- ow network is a stochastic- ow network where the ow spends time to get through the network. In practice, there are lots of daily- life networks which can be regarded as timed stochastic- ow networks such as the transportation network, the production network, etc. Since the traditional methods of reliability evaluation usually assume no time consumption for the ow to get through the network, obviously, such kind of problem is not yet explored by the network theory in the literature. A numerical example is presented to illustrate the proposed method.


Keywords Timed stochastic- ow network, phased reliability, ow carrier, minimal cut, minimal path
    Article #:  21142
Proceedings of the 21st ISSAT International Conference on Reliability and Quality in Design
August 6-8, 2015 - Philadelphia, Pennsylvia, U.S.A.