Dynamic and Equilibrium Behaviour Ofcontrolled Loss

We study the behaviour of large loss networks in which the ooered traac is subject to acceptance controls. Hunt and Kurtz proved a functional law of large numbers for the dynamics of such networks, as capacity and ooered traac are allowed to increase in proportion. However, limiting dynamics were not in general uniquely identiied. We establish further results identifying these dynamics under given conditions. We also investigate the existence of xed points for these dynamics and relate them to limiting equilibrium behaviour , permitting the investigation of common modelling assumptions. We study in detail single and two resource networks and we give an example of bistability for the former.