A model for intermediate time scales was presented, based on conservation laws. For data networks the order of the two rules to model traffic flow at nodes is inverted w.r.t. vehicular traffic, since packets can be more easily re-directed on the network. Thus we use the rules:
(A) the through flux is maximized.
(B) fluxes distribute on outgoing roads according to fixed coefficients (respecting rule (A));
Books and surveys:
- Bressan, S. Canic, M. Garavello, M. Herty, B. Piccoli: Flows on networks: recent results and perspectives, European Mathematical Society Survey, 1 (2014), 47-111. Survey
- Garavello, B. Piccoli: Traffic flow on networks, Applied Math Series vol. 1, American Institute of Mathematical Sciences, Springfield, 2006. link
Papers:
- D’Apice, R. Manzo, B. Piccoli: On the validity of fluid-dynamic models for data networks, Journal of Networks, 7 (2012), 980-990. pdf
- D’Apice , R. Manzo , B. Piccoli: A fluid dynamic model for telecommunication networks with sources and destinations, SIAM Journal on Applied Mathematics, 68 (2008), 981-1003. pdf
- Ciro D’Apice, Rosanna Manzo, Benedetto Piccoli: Packet flow on telecommunication networks, SIAM Journal on Mathematical Analysis, 38 (2006), 717-740. pdf