2000•Journal of Xi'an University of TechnologyRequires access

The Application of Markov Chain to Analysis of Blasting Network

Fan Zheng

Abstract

In this paper, some typical common canonical expressions in blasting network are reduced to Markov chain model, and the matrix of transition probability of Markov chain is presented. Also, the leap blasting type of network is reduced to a kind of extened Markov chain. Meanwhile, a simple matrix algorithm is suggested for any m step transition probability and the m step whole transition probability of this extended Markov chain.

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Available abstract

Key concepts: Markov chain, Markov chain mixing time, Additive Markov chain, Continuous-time Markov chain, Stochastic matrix, Markov model, Variable-order Markov model, Balance equation