On the Performance of the European LMDS System

This paper investigates the performance of the European LMDS system. The collision rate and the Laplace transform of the access delay to the shared medium, are analytically computed and used to derive numerically the mean of the response time (the access delay to the shared medium). At last, the performance of the LMDS system when the contention mode is used for dynamic reservation request is analytically studied. Among several results, we prove that the use of the max parameter in the LMDS collision recovery mechanism prevents the system from unstability, whatever the collision rate is. It differs from results derived in other papers for binary exponential backoff algorithms without max parameter. It appears also that stability has to be carefully defined. Several definitions of stability may be chosen and the derived conclusions are then different.