Crustal deformation patterns are affected by multiscale granulation and healing processes
associated with phase transitions between continuum and discrete states of rocks. The …

This paper describes work on the stochastic modelling of loss networks. Such systems have
long been of interest to telephone engineers and are becoming increasingly important as …

In this review, we describe historical and recent developments towards tackling a century-
long challenge in teletraffic theory, namely the evaluation of blocking probability in overflow …

Internet service providers face a daunting challenge in provisioning network resources, due
to the rapid growth of the Internet and wide fluctuations in the underlying traffic patterns. The …

The third edition of 1992 constituted a major reworking of the original text, and the preface to
that edition still represents my position on the issues that stimulated me first to write. The …

In this survey we provide an overview of recent advances on scalable load balancing
schemes which provide favorable delay performance and yet require minimal …

In a number of service systems, there can be substantial latitude to vary service rates.
However, although speeding up service rate during periods of congestion may address a …

A reduced load approximation (also referred to as an Erlang fixed point approximation) for
estimating point-to-point blocking probabilities in loss networks (eg, circuit switched …

How should flows through a network be organized, so that the network responds sensibly to
failures and overloads? The question is currently of considerable technological importance …

A general loss network is considered in the limit as the arrival rates and link capacities
become large with their ratio held fixed. We show that the network obeys a functional law of …