On the Traffic Handling Capability of Communication Networks Homogeneously Loaded
I. Paz · Networks · 1975
The branch flows in a communication network are normalized against the corresponding branch capacities. The average (µ) of these normalized branch flows is used to represent the traffic load in the network. The sum of all squared differences between the normalized branch flows and µ is defined as the homengeneity (H) of the flow distribution. The capability (P) of a loaded network to handle additional traffic demand increments is then defined as a function of the residual branch capacities, each weighted by a factor representing its topological “importance” in the network. Using the above definitions, several relations are established between H, µ and P. For instance, it is indicated that for a given µ, flow distributions which lead to smaller values of H (better homogeneity) also lead to higher possible values for P (improved network capability).