Proportional fairness: parking lot example

Proportional fairness: parking lot example

by Simon Pierre Yvick Le Bail-Collet -
Number of replies: 1

Hello,

I am reading the class' book. I do not understand why at page 15 we obtain that x0 + xi = c for all i in {1,..,4}.

This is taken from this section:

EXAMPLE: Let us apply Theorem 1.2.6 to the parking lot scenario in Figure 1.6. For any choice of x0, we should set xi such that x0+xi=c, i=1, . . . ,4

Could someone explain me this result?

Thank you,

Simon.

In reply to Simon Pierre Yvick Le Bail-Collet

Re: Proportional fairness: parking lot example

by Ludovic Thomas -

Hi,

Professor Le Boudec is giving this explanation just after:

"otherwise we could increase x_i without affecting other values, and thus increase function J"

Can you detail what remains unclear ?

Ludovic