Errors in the book

Errata for 'Mathematical Foundations of Computer Networking'

Chapter 1

• Example 1.15, Page 12: The fact “P(52) = 0.54” is not known at this point in the book. It is derived in Example 1.16.
• Section 1.3.4, Eq. 1.19, Page 20: E[g(C)] should read E[g(X_C)]
• Section 1.3.5, The equation for variance should read V[X] = (Σ x_i²)/n - (Σ (x_i/n))²
• Section 1.5.1, Page 25, last sentence: Variance should be a(1-a)

Chapter 7

• Section 6.1.2, Page 238-239: The terms “waiting time” means different things. In the theorem it is the sum of queuing and service time (this is often called “response time” or “sojourn time”). In the proof, it seems to only be about the “queuing time”.

Note: Little's law can be formulated for both response and queuing time and holds in both cases (with expected number of customers in the system and in the queue respectively). The best is to always avoid the term “waiting time” to avoid confusion and instead use “response time”.

• Equation 6.2, Section 6.2.3, Page 246: The suffix of the first p in the sum should read “ik” instead of “ij”.
• Section 6.3.3, Page 254, first sentence after Equation 6.9: Should read “during a small interval” instead of “during any interval”.
• Equation 6.11, Page 254 “(t)” should be removed from the equation
• Section 6.4, Page 255, last sentence before Equation 6.15: Should read “Given this fact, Equation 6.10, and Equation 6.14, we find that”
• Example 6.22, Page 264, first sentence: Reference should go to Example 6.21, not “6.19”.
• Example 6.23, Page 266, first sentence: Reference should go to Example 6.21, not “6.20”.
• Example 6.25, Page 269, first sentence: Reference should go to Example 6.21, not “Equation 6.21”.

My thanks to:

Dr. Martin Jacobsson, Communication Research (CoRe), Dept. of IT Uppsala University, Sweden Tel: +46 70 425 02 68 Web: http://www.jacobsson.nl/

Jinwen Lu, University of Waterloo