By Laurent Decreusefond,Pascal Moyal
This publication addresses the stochastic modeling of telecommunication networks, introducing the most mathematical instruments for that function, akin to Markov procedures, actual and spatial aspect tactics and stochastic recursions, and proposing a large record of effects on balance, performances and comparability of systems.
The authors suggest a entire mathematical development of the rules of stochastic community idea: Markov chains, non-stop time Markov chains are broadly studied utilizing an unique martingale-based method. an entire presentation of stochastic recursions from an ergodic theoretical point of view can also be supplied, in addition to spatial element processes.
utilizing those easy instruments, balance standards, functionality measures and comparability ideas are bought for a large category of types, from the canonical M/M/1 and G/G/1 queues to extra refined platforms, together with the present “hot issues” of spatial radio networking, OFDMA and real-time networks.
Contents
1. Introduction.
half 1: Discrete-time Modeling
2. Stochastic Recursive Sequences.
three. Markov Chains.
four. desk bound Queues.
five. The M/GI/1 Queue.
half 2: Continuous-time Modeling
6. Poisson Process.
7. Markov Process.
eight. platforms with Delay.
nine. Loss Systems.
half three: Spatial Modeling
10. Spatial element Processes.
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Stochastic Modeling and Analysis of Telecoms Networks by Laurent Decreusefond,Pascal Moyal
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