Loss networks

Abstract

This chapter reviews the theory of loss networks, in which calls of various types are accepted for service provided that this can commence immediately; otherwise they are rejected. An accepted call remains in the network for some holding time, which is generally independent of the state of the network, and throughout this time requires capacity simultaneously from various network resources. Both equilibrium and dynamical behaviour are studied; for the former a new approach is taken to the theory of uncontrolled loss networks, while the latter is the key to the understanding of stability issues in such networks.