Table of Contents

• Chapter 1: Introduction
  • 1.1 Description of the Queueing Problem
  • 1.2 Characteristics of Queueing Processes
  • 1.3 Notation
  • 1.4 Measuring System Performance
  • 1.5 Some General Results
  • 1.6 Simple Data Bookkeeping for Queues
  • 1.7 Poisson Process and the Exponential Distribution
  • 1.8 Markovian Property of the Exponential Distribution
  • 1.9 Stochastic Processes and Markov Chains
  • 1.10 Introduction to the QtsPlus Software
• Chapter 2: Simple Markovian Queueing Models
  • 2.1 Birth-Death Processes
  • 2.2 Single-Server Queues (M/M/1)
  • 2.3 Multiserver Queues (M/M/c)
  • 2.4 Choosing the Number of Servers
  • 2.5 Queues with Truncation (M/M/c/K)
  • 2.6 Erlang's Loss Formula (M/M/c/c)
  • 2.7 Queues with Unlimited Service (M/M/Infinity)
  • 2.8 Finite-Source Queues
  • 2.9 State-dependent Service
  • 2.10 Queues with Impatience
  • 2.11 Transient Behavior
  • 2.12 Busy-Period Analysis
• Chapter 3: Advanced Markovian Queueing Models
  • 3.1 Bulk Input (M^[X]/M/1)
  • 3.2 Bulk Service (M/M^[Y]/1)
  • 3.3 Erlangian Models
  • 3.4 Priority Queue Disciplines
  • 3.5 Retrial Queues
• Chapter 4: Networks, Series, and Cyclic Queues
  • 4.1 Series Queues
  • 4.2 Open Jackson Networks
  • 4.3 Closed Jackson Networks
  • 4.4 Cyclic Queues
  • 4.5 Extensions of Jackson Networks
  • 4.6 Non-Jackson Networks
• Chapter 5: General Arrival or Service Patterns
  • 5.1 General Service, Single Server (M/G/1)
  • 5.2 General Service, Multiserver (M/G/c/., M/G/Infinity)
  • 5.3 General Input (G/M/1, G/M/c)
• Chapter 6: General Models and Theoretical Topics
  • 6.1 G/Ek/1, G^[k]/M/1, and G/PHk/1
  • 6.2 General Input, General Service (G/G/1)
  • 6.3 Poisson Input, Constant Service, Multiserver (M/D/c)
  • 6.4 Semi-Markov and Markov Renewal Processes in Queueing
  • 6.5 Other Queue Disciplines
  • 6.6 Design and Control of Queues
  • 6.7 Statistical Inference in Queueing
• Chapter 7: Bounds and Approximations
  • 7.1 Bounds
  • 7.2 Approximations
  • 7.3 Network Approximations
• Chapter 8: Numerical Techniques and Simulation
  • 8.1 Numerical Techniques
  • 8.2 Numerical Inversion of Transforms
  • 8.3 Discrete-Event Stochastic Simulation
• Appendix A: Symbols and Abbreviations
• Appendix B: Tables
• Appendix C: Transforms and Generating Functions
• Appendix D: Differential and Difference Equations
• Appendix E: QtsPlus Software