Homogeneous and Heterogeneous Traffic of Data Packets on Complex Networks: The Traffic Congestion Phenomenon
The authors study the congestion phenomenon in a mathematical model of the data packets traffic in transmission networks as a function of the topology and of the load of the network. Two types of traffic are considered: homogeneous and heterogeneous traffic. The congestion phenomenon is studied in stationary conditions through the behavior of two quantities: the mean travel time of a packet and the mean number of packets that have not reached their destination and are traveling in the network. They define a transformation that maps a network having the small world property (Inet 3037 in their numerical experiments) into a (modified) lattice network that has the same number of nodes.