Elements of Digital Communication and Data Link Performance
The M/M/1/∞ Queue
Derivation of Equilibrium State Probabilities
Simple Performance Figures
Response Time and Its Distribution
More Performance Figures for M/M/1/∞ System
Waiting Time Distribution
Departures from Equilibrium M/M/1/∞ System
Analysis of ON-OFF Model of Packet Departures
Round Robin Operating System
Examples
Analysis of Busy Times
Forward Data Link Performance and Optimization
State-Dependent Markovian Queues
Stochastic Processes
Continuous Parameter Markov Chains
Markov Chains for State-Dependent Queues
Intuitive Approach for Time Averages
Statistical Analysis of Markov Chains' Sample Functions
Little's Result
Application Systems
Medium Access in Local Area Networks
The M/G/1 Queue
Imbedded Processes
Equilibrium and Long-Term Operation of M/G/1/∞Queue
Derivation of the Pollaczek-Khinchin Mean Value Formula
Application Examples
Special Cases
Discrete Time Queues
Timing and Synchronization
State Transitions and Their Probabilities
Discrete Parameter Markov Chains
Classification of States
Analysis of Equilibrium Markov Chains
Performance Evaluation of Discrete Time Queues
Applications
Conclusion
Continuous Time Queuing Networks
Model and Notation for Open Networks
Global Balance Equations
Traffic Equations
The Product Form Solution
Validity of Product Form Solution
Development of Product Form Solution for Closed Networks
Convolution Algorithm
Performance Figures from the g(n,m) Matrix
Mean Value Analysis
Conclusion
The G/M/1 Queue
The Imbedded Markov Chain for G/M/1/∞Queue
Analysis of the Parameter ¿
Performance Figures in G/M/1/∞Queue
Finite Buffer G/M/1/k Queue
Pareto Arrivals in a G/M/1/∞Queue
Queues with Bursty, MMPP, and Self-Similar Traffic
Distinction between Smooth and Bursty Traffic
Self-Similar Processes
Hyperexponential Approximation to Shifted Pareto Interarrival Times
Characterization of Merged Packet Sources
Product Form Solution for the Traffic Source Markov Chain
Joint Markov Chain for the Traffic Source and Queue Length
Evaluation of Equilibrium State Probabilities
Queues with MMPP Traffic and Their Performance
Performance Figures
Conclusion
Analysis of Fluid Flow Models
Leaky Bucket with Two State ON-OFF Input
Little's Result for Fluid Flow Systems
Output Process of Buffer Fed by Two State ON-OFF Chain
General Fluid Flow Model and Its Analysis
Leaky Bucket Fed by M/M/1/∞ Queue Output
Appendix: Review of Probability Theory
Index
An Introduction and Exercises appear in each chapter
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