Mo J. Performance Modeling of Communication Networks with Markov Chains

New York: Morgan & Claypool Publishers, 2010. - 90 p.Why Modeling?
Classifications of Models
Simulation Models
Mathematical (Analytical) Models
Performance Study StepsWhat is Markov Chain Modeling?
Discrete Time Markov Chains
Defining States
Steady State Distribution of DTMC
Power of Transition Probability Matrix
Solving the Balance Equations
Definition
CTMC Model: Rate Matrix
Birth-and-Death Process
Solving Balance Equations of (S,Q)
Uniformization: (S,Q)(S,P)Performance Modeling Steps
A Simple Forwarding System
Cellular System with Blocking
Slotted ALOHA
Wi-Fi Network - CSMA Markov Chain
A Multi-Channel MAC Protocol ModelThe DTMC Model of a Backoff Timer
Network Model
A Multichannel MAC Protocol with a Fixed Duration - A Queueing Network ModelOverviewModel Description
Numerical ExampleExercisesAuthor's Biography