Mobility Modeling for Vehicular Communication Networks by Khadige Abboud & Weihua Zhuang

Author:Khadige Abboud & Weihua Zhuang
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

3.2.3 Corollary 3.2: Bounded Absorbing Lumped State Space

Corollary 3.2.

Consider a system of N independent copies of an irreducible Markov chain according in Theorem 3.1 , and let the event of interest be that the sum of the states of the N chains be larger than a deterministic threshold N th . The absorbing lumped Markov chain, required to obtain the first occurrence time of the event of interest, has a state space that is bounded by a deterministic function of N th , when N > N th .

3.2.3.1 Proof of Corollary 3.2 [11, 12]

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