A New Phase-Type Distribution to Break Kleinrock's Independence Assumption

03/19/2020

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by   Yu Chen, et al.

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In this paper, we first introduce a new phase-type PH(p,λ) distribution. The basic properties of the PH(p,λ) distribution are investigated, including its Markov chain representation and the non-denseness property. Based on this new distribution, a model to predict message delay distribution in message-switched communication networks (MSCNs) is presented. Specifically, we consider that message lengths are kept unchanged when they traverse from node to node in a network, This scenario breaks Kleinrock's independence assumption but corresponds to actual scenarios. Finally, simulation shows that our model provides close and much better prediction results than that under Kleinrock's assumption.