Asymptotic Analysis of Single Resource Loss Systems in Heavy Traffic, with Applications to Integrated Networks

In this paper we consider the analysis of call blocking at a single resource with differing capacity requirements as well as differing arrival rates and holding times. We include in our analysis trunk reservation parameters which provide an important mechanism for tuning the relative call blockings to desired levels. We base our work on an asymptotic regime where the resource is in heavy traffic. We further derive, from our asymptotic analysis, methods for the analysis of finite systems. Empirical results suggest that these methods perform well for a wide class of examples. LOSS NETWORKS; INTEGRATED NETWORKS; TIME-SCALE SEPARATION; TRUNK RESERVATION; BLOCKING PROBABILITIES AMS 1991 Mathematics Subject Classification Primary: 60K20 Secondary: 60K15, 60K30, 68M20, 90B12 1 Introduction Recent developments in communication networks have lead to much interest in systems where traffic of widely differing characteristics is integrated. In this paper we address one of the probabilistic issue..