Scheduling and Control of Queueing Networks

Gideon Weiss (University of Haifa, Israel)

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English

Cambridge University Press
14 October 2021

Econometrics; Economic statistics; Operational research; Probability & statistics; Stochastics

Series: Institute of Mathematical Statistics Textbooks

Applications of queueing network models have multiplied in the last generation, including scheduling of large manufacturing systems, control of patient flow in health systems, load balancing in cloud computing, and matching in ride sharing. These problems are too large and complex for exact solution, but their scale allows approximation. This book is the first comprehensive treatment of fluid scaling, diffusion scaling, and many-server scaling in a single text presented at a level suitable for graduate students. Fluid scaling is used to verify stability, in particular treating max weight policies, and to study optimal control of transient queueing networks. Diffusion scaling is used to control systems in balanced heavy traffic, by solving for optimal scheduling, admission control, and routing in Brownian networks. Many-server scaling is studied in the quality and efficiency driven Halfin–Whitt regime and applied to load balancing in the supermarket model and to bipartite matching in ride-sharing applications.

By: Gideon Weiss (University of Haifa Israel)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 151mm, Spine: 22mm
Weight: 650g
ISBN: 9781108401173
ISBN 10: 1108401171
Series: Institute of Mathematical Statistics Textbooks
Pages: 200
Publication Date: 14 October 2021
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Gideon Weiss is Professor Emeritus in the Department of Statistics at the University of Haifa, Israel. He has previously held tenured positions at Tel Aviv University and at Georgia Tech Industrial and Systems Engineering and visiting positions at Berkeley, MIT, Stanford, NYU, and NUS. He is author of some 90 research papers and served on the editorial boards of leading journals on operations research and applied probability. His work includes significant contributions to the fields of time series, stochastic scheduling, bandit problems, fluid analysis of queueing networks, continuous linear programming, and matching problems.