Throughput in multiple service, multiple resource communication networks

Communication networks that integrate multiple services using multiple resources are considered. In particular, the authors pose resource allocation problems, present a sensitivity analysis, and provide a glimpse of the possible behavior of such networks. The simplest discipline is assumed: a service request is accepted if the necessary resources are available; otherwise it is rejected. Two results are obtained. The first gives the sensitivity of throughput of service requests of type i with respect to offered traffic and service rates of type j. The second result is that the set of vectors of achievable throughput rates is a convex polyhedron given by an explicit set of linear inequalities