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Scheduling and Control of Queueing Networks

Scheduling and Control of Queueing Networks

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Queueing network models have many applications, such as scheduling, patient flow, load balancing, and matching. This book covers fluid scaling, diffusion scaling, and many-server scaling, which are used to verify stability, study optimal control, and improve efficiency in these systems.

Format: Paperback / softback
Length: 200 pages
Publication date: 14 October 2021
Publisher: Cambridge University Press


In recent years, the applications of queueing network models have seen a significant surge, encompassing a wide range of fields. These applications include the scheduling of large manufacturing systems, the control of patient flow in healthcare systems, the load balancing in cloud computing, and the matching in ride-sharing platforms. Given the complexity and size of these problems, finding exact solutions is often challenging. However, the sheer magnitude of these problems allows for approximation approaches.

This book is a pioneering effort in presenting a comprehensive treatment of fluid scaling, diffusion scaling, and many-server scaling in a single text, suitable for graduate students. Fluid scaling plays a crucial role in verifying stability, particularly in the context of max weight policies, and it explores the optimal control of transient queueing networks. Diffusion scaling is employed to address systems in balanced heavy traffic, by optimizing scheduling, admission control, and routing in Brownian networks. Many-server scaling is investigated within 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 delving into these topics, this book offers valuable insights into the principles and techniques of queueing network modeling, making it an essential resource for researchers, practitioners, and students in the fields of operations research, computer science, and applied mathematics.

Weight: 642g
Dimension: 152 x 230 x 28 (mm)
ISBN-13: 9781108401173

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