Talk:Network congestion/Archive 1

Utility functions
Shouldn't the utility functions be concave and strictly-increasing? Diminishing returns as rates increase?--160.39.62.168 (talk) 02:07, 1 March 2011 (UTC)

You are right. I have also checked Kelly's paper http://www.statslab.cam.ac.uk/~frank/rate.pdf which says:
 * Assume that the utility $$U_r(x_r)$$ is an increasing, strictly concave and continuously differentiable function of $$x_r$$

I changed convex to concave on the page. --Per Olofsson (talk) 13:37, 6 November 2013 (UTC)