First of all, let me thank you very much for your kind words. It’s a great pleasure for me to see that you read and generally liked my book! but now of course I can’t stop myself from answering your comments:

* Proportional Fairness: I agree that this may be an over-simplification. I wasn’t thinking of congestion pricing (with its underlying dynamics) when I wrote this, though, but rather the fact that a utility function can be interpreted as expressing a customer’s willingness to pay for a certain good. So, if you would allocate rates in your network in a way that will maximize the utility functions of all users, you would maximize your income. That was the (arguably simplistic) thought behind this statement.

* I say “linear programming” when it’s in fact a nonlinear optimization problem: that’s obviously a mistake, thanks a lot for pointing it out! I’ll put this in the errata list on my accompanying homepage.

* regarding the Poisson-flattening bit, what I wrote here is: “if Internet traffic would follow a Poisson process and you would look at a traffic trace of, say, five minutes and compare it with a trace of an hour or a day, you would notice that the distribution flattens as the timescale grows.” and I meant it like that – indeed such a traffic trace flattens with growing timescales, as it approaches the mean. See for example figure 2 of this paper (which is one of the references in the (Paxson and Floyd 1995) reference).

* regarding your warning for Ph.D. students, I couldn’t agree more! Maybe I should have explicitly said that in the book – of course you can’t take any of these ideas and simply turn them into a Ph.D. thesis. These are just proposals, with the intention of provoking people to come up with their own, hopefully better, ideas.

Let me thank you again for writing this review! I’m only getting very little feedback, mainly from my students (who of course tell me that they like it, but they would also say so if they hated it ðŸ™‚ ), so it’s always nice for me to see that someone else actually read and liked it.

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