Title of article :
Arrival probability in the stochastic networks with an established discrete time Markov chain
Author/Authors :
شيردل، غلامحسن نويسنده , , عبدالحسين زاده، محسن نويسنده هيات علمي گروه رياضي دانشگاه قم Abdolhosseinzadeh, Mohsen
Issue Information :
فصلنامه با شماره پیاپی 0 سال 2014
Abstract :
The probable lack of some arcs and nodes in the stochastic networks is considered in this paper, and its effect is shown as the arrival probability from a given source node to a given sink node. A discrete time Markov chain with an absorbing state is established in a directed acyclic network. Then, the probability of transition from the initial state to the absorbing state is computed. It is assumed to have some wait states, if there is a physical connection but not any immediate communication be- tween two nodes. The Numerical results show, the critical nodes and arcs are detected by the proposed method and it can be used to anticipate prob- able congestion in communication and transportation networks.
Journal title :
Journal of Mathematical Modeling(JMM)
Journal title :
Journal of Mathematical Modeling(JMM)