This IMA Volume in Mathematics and its Applications STOCHASTIC NETWORKS is based on the proceedings of a workshop that was an integral part of the 1993-94 IMA program on "Emerging Applications of Probability." We thank Frank P. Kelly and Ruth J. Williams for organizing the workshop and for editing the proceedings. We also take this opportunity to thank the National Science Foundation, the Air Force Office of Scientific Research, the Army Research Office, and the National Security Agency, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. xiii PREFACE Research on stochastic networks has powerful driving applications in the modelling of manufacturing, telecommunications, and computer sys tems. These various applications have raised common mathematical issues of some subtlety, and a notable feature of the workshop was the way in which experts in different areas such as operations research, systems science and engineering, and applied mathematics have been attacking important problems from different viewpoints.
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...illuminate(s) many features of current research, letting us see its concerns and its style. (Journal of the Royal Statistical Society, Series A, vol. 160, part 2, June 1997)
Communication networks underpin our modern world, and provide fascinating and challenging examples of large-scale stochastic systems. This compact introduction to some of the stochastic models found useful in the study of communication networks is ideal for graduate students wishing to understand this important area of application.
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