# Performance Issues in Random Access Networks

We explore multiple ways of achieving utility-based fairness in wireless mesh networksof 802.11-based devices. First, we show the log-convexity of the rate- region and use this forachieving utility fair solutions for the family of iso-elastic of utility functions with elasticity lower than 1.We then use the log-convexity characterization to achieve the max-min fair solution. We then proveconvexity of the non-achievable rate-region of a WLAN and use that to achieve utility fairness forutility functions that do not correspond to the special family above. Finally and if time persists, wewill present some work on the delay analysis of fully distributed carrier-sensing multiple accesspolicies.

Bio: Vijay Subramanian received the B.Tech. degreefrom IIT Madras,in 1993, the M.S. degree from theIISc. Bangalore, in 1995, and the Ph.D. degree fromthe UIUC, Urbana, in 1999. From 1999 to 2006, hewas with the Networks Business, Motorola. From May 2006 to Nov 2010 he was a Research Fellow at the Hamilton Institute, NUIM, Ireland. At present he isa Senior Research Associate at Northwestern University. His research interests include information theory, communication networks, queueing theory, mathematical immunology and applied probability.