Table of Contents

• Chapter 1: Introduction
• Chapter 2: Review of Stochastic Processes
• Chapter 3: Simple Markovian Queueing Models
• Chapter 4: Advanced Markovian Queueing Models
• Chapter 5: Networks, Series, and Cyclic Queues
• Chapter 6: General Arrival or Service Patterns
• Chapter 7: General Models and Theoretical Topics
• Chapter 8: Bounds and Approximations
• Chapter 9: Numerical Techniques and Simulation

Key Changes From 4th Edition

• Chapter 1: Introduction
  • Chapter 1 has been split into two chapters (1 and 2), with substantial editing, reorganization, and new material
  • New and expanded section on Little's law
  • New section on the experience of waiting
• Chapter 2: Review of Stochastic Processes
  • Expanded material (previously in Chapter 1), substantially reorganized and revised
  • Many new figures and examples
• Chapter 3 Advanced Markovian Queueing Models
  • New sub-section on fairness in queueing
  • New material on processor sharing
• Chapter 8 Numerical Techniques and Simulation
  • New section on deterministic fluid queues
• Over 60 new problems and 20 new examples throughout text
• Editing for clarity throughout text
• QtsPlus software has been updated with significantly improved user interface

Errata

• p. 11. In equation (1.1), the superscript for W^(·) in the middle equation is wrong: W^(k) should be W⁽ⁱ⁾. See also the next bullet.
• p. 17. "The weighting function can be negative, but we require that \int_0^\infty |f_k(t)| dt = 0." The integral should be finite (less than infinity), not equal to zero.
• p. 17. In the equation preceding Theorem 1.2, the superscript for G^(·) in the middle equation is wrong: G^(k) should be G⁽ⁱ⁾.
• p. 96. The left-hand side of the first equation on the page should be 'Pr{T ≤ t | T_q > 0} = ', not 'Pr{T ≤ t} = '. This is used to obtain the next equation for W(t), which can be written as W(t) = Pr{T_q = 0} Pr{T ≤ t | T_q = 0} + Pr{T_q > 0} Pr{T ≤ t | T_q > 0}. The equation for W(t) is correct.
• p. 221, first paragraph of Section 5.2 (Open Jackson Networks). It says, “All servers at node i work according to an exponential distribution with mean μ_i ...”. The last part should say “with mean 1/μ_i” or similarly “with rate μ_i”.