Modelling Communication Networks, Present and Future

F. P. Kelly

Phil. Trans. Roy. Soc. Lond. A354 (1996) 437-463.

Available from JSTOR.

Modern communication networks are able to respond to randomly fluctuating demands and failures by allowing buffers to fill, by rerouting traffic and by reallocating resources. They are able to do this so well that, in many respects, large-scale networks appear as coherent, almost intelligent, organisms. The design and control of such networks present challenges of a mathematical, engineering and economic nature. In this lecture we describe some of the models that have proved useful in the analysis of stability, statistical sharing and pricing, in systems ranging from the telephone networks of today to the information superhighways of tomorrow.

A preprint of the paper. The paper was the basis for the Royal Society's Clifford Paterson Lecture, 1995, delivered in London and Edinburgh. Further reading, including copies of the slides used for the lecture.
Citations, from Google Scholar.