Scheduling and Control of Queueing Networks
Scheduling and Control of Queueing Networks
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.
- 80 figures and more than 300 challenging exercises
- Extensive solutions manual for most exercises
- Consolidates current research in the field and an overview of three key approaches in one text
Product details
October 2021Paperback
9781108401173
200 pages
229 × 151 × 22 mm
0.65kg
Not yet published - available from
Table of Contents
- Notation
- Introduction
- Part I. The Single Queue:
- 1. Queues and their simulations, birth and death queues
- 2. The M/G/1 queue
- 3. Scheduling
- Part II. Approximations of the Single Queue:
- 4. The G/G/1 queue
- 5. The basic probability functional limit theorems
- 6. Scaling of G/G/1 and G/G/∞
- 7. Diffusions and Brownian processes
- Part III. Queueing Networks:
- 8. Product form queueing networks
- 9. Generalized Jackson networks
- Part IV. Fluid Models of Multi-Class Queueing Networks:
- 10. Multi-class queueing networks, instability and Markov representations
- 11. Stability of MCQN via fluid limits
- 12. Processing networks and maximum pressure policies
- 13. Processing networks with infinite virtual queues
- 14. Optimal control of transient networks
- Part V. Diffusion-Scaled Balanced Heavy Traffic:
- 15. Join the shortest queue in parallel servers
- 16. Control in balanced heavy traffic
- 17. MCQN with discretionary routing
- Part VI. Many-Server Systems:
- 18. Infinite servers revisited
- 19. Asymptotics under Halfin– Whitt regime
- 20. Many servers with abandonment
- 21. Load balancing in the supermarket model
- 22. Parallel servers with skill-based routing
- References
- Index.
