Nonhierarchical communications networks: an application of compartmental modeling

Compartmental modeling is applied to nonhierarchical circuit-switched networks allowing a formulation of network dynamics in terms of a system of deterministic equations among global variables. Network dynamics under stress conditions of overload and damage are examined, and steady-state results demonstrate the expected bistability property. Network controls are implemented with the result that bistable behavior disappears. The model equations are sufficiently complex as to permit investigation of the relative merits of various network management controls and to capture time-sensitive effects, such as user calling behavior and time-varying network stress. Optimal control parameter setting is addressed for network steady-state conditions. While the model assumes a deterministic environment and trunk group blocking only, the model can be extended to include stochastic environments and switch related effects, such as queue overflow and delay