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
- Part V Diffusion Scaled Balanced Heavy Traffic
- 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
19 - Asymptotics under Halfin.Whitt Regime
from Part VI - Many-Server Systems
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
- Part V Diffusion Scaled Balanced Heavy Traffic
- 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
Summary
Heavy traffic M/M/s has full utilization of servers at the cost of congestion, while M/M/1 has no waiting but poor utilization. These are termed efficiency driven (ED) and quality driven (QD) regimes, respectively. A golden middle road of quality and efficiency driven (QED) is the Halfin–Whitt regime, studied and extended to G/GI/n here.
- Type
- Chapter
- Information
- Scheduling and Control of Queueing Networks , pp. 330 - 345Publisher: Cambridge University PressPrint publication year: 2021