Reversibility and Stochastic Networks

Preface
Contents
Chapter 1: Markov Processes and Reversibility
1.1 Preliminaries on Markov Processes
Exercises 1.1
1.2 Reversibility
Exercises 1.2
1.3 Birth and Death Processes
Exercises 1.3
1.4 The Ehrenfest Model
Exercises 1.4
1.5 Kolmogorov's Criteria
Exercises 1.5
1.6 Truncating Reversible Processes
Exercises 1.6
1.7 Reversed Processes
Exercises 1.7
Chapter 2: Migration Processes
2.1 The Output from a Simple Queue
Exercises 2.1
2.2 A Series of Queues
Exercises 2.2
2.3 Closed Migration Processes
Exercises 2.3
2.4 Open Migration Processes
Exercises 2.4
Chapter 3: Queueing Networks
3.1 General Customer Routes
Exercises 3.1
3.2 Open Networks of Quasi-Reversible Queues
Exercises 3.2
3.3 Symmetric Queues
Exercises 3.3
3.4 Closed Networks
Exercises 3.4
3.5 More General Arrival Rates
Exercises 3.5
Chapter 4: Examples of Queueing Networks
4.1 Communication Networks
Exercises 4.1
4.2 Machine Interference
Exercises 4.2
4.3 Timesharing Computers
Exercises 4.3
4.4 Teletraffic Models
Exercises 4.4
Chapter 5: Electrical Analogues
5.1 Random Walks
Exercises 5.1
5.2 Flow Models
Exercises 5.2
5.3 Invasion Models
Exercises 5.3
Chapter 6: Reversible Migration Processes
6.1 Migration Processes Revisited
Exercises 6.1
6.2 Social Grouping Behaviour
Exercises 6.2
6.3 Contrasting Flow Models
Exercises 6.3
Chapter 7: Population Genetics Models
7.1 Neutral Allele Model
Exercises 7.1
7.2 The Age of an Allele
Exercises 7.2
7.3 Fixation Times
Exercises 7.3
Chapter 8: Clustering Processes
8.1 Introduction
Exercises 8.1
8.2 The Basic Model
Exercises 8.2
8.3 Examples
Exercises 8.3
8.4 Polymerization Process
Exercises 8.4
8.5 Generalizations
Exercises 8.5
Chapter 9: Spatial Processes
9.1 Markov Fields
9.2 Reversible Spatial Processes
Exercises 9.2
9.3 A General Spatial Process
Exercises 9.3
9.4 Partial Balance
Exercises 9.4
References
Symbol Index
Subject Index
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