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
18 - Infinite Servers Revisited
from Part VI - Many-Server Systems
Published online by Cambridge University Press: 01 October 2021
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
Summary
Because time is not scaled, limiting results for many-server scaling retains dependence on the service time distribution, as we saw in the scaling of M/GI/1. We extend these infinite server results to general time-dependent arrival streams.
- Type
- Chapter
- Information
- Scheduling and Control of Queueing Networks , pp. 323 - 329Publisher: Cambridge University PressPrint publication year: 2021