Book contents
- Frontmatter
- Contents
- Notation
- Introduction
- Part I The Single Queue
- Part II Approximations of the Single Queue
- Part III Queueing Networks
- Part IV Fluid Models of Multi-Class Queueing
- 10 Multi-Class QueueingNetworks, Instability, and MarkovRepresentations
- 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
- Part VI Many-Server Systems
- References
- Index
11 - Stability of MCQN via Fluid Limits
from Part IV - Fluid Models of Multi-Class Queueing
Published online by Cambridge University Press: 01 October 2021
- Frontmatter
- Contents
- Notation
- Introduction
- Part I The Single Queue
- Part II Approximations of the Single Queue
- Part III Queueing Networks
- Part IV Fluid Models of Multi-Class Queueing
- 10 Multi-Class QueueingNetworks, Instability, and MarkovRepresentations
- 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
- Part VI Many-Server Systems
- References
- Index
Summary
We define fluid limits and show that stability of the fluid limits implies stability of the stochastic queueing system. This enables us to study stability of MCQN under various policies.
- Type
- Chapter
- Information
- Scheduling and Control of Queueing Networks , pp. 175 - 196Publisher: Cambridge University PressPrint publication year: 2021