arXiv:1206.5704 Abstract | arXiv Analytics

arXiv:1206.5704 [math.PR]Abstract References Reviews Resources

Fluid limits of many-server queues with state dependent service rates

Published 2012-06-25, updated 2013-04-08Version 2

We study a many-server queuing system with general service time distribution and state dependent service rates. The dynamics of the system are modeled using measure valued processes which keep track of the residual service times. Under suitable conditions, we prove the existence of a unique fluid limit.

Comments: 20 pages, minor changes

Categories: math.PR

Subjects: 60F17, 60K25, 90B22

Keywords: state dependent service rates, many-server queues, general service time distribution, unique fluid limit, residual service times

Related articles: Most relevant | Search more

arXiv:1912.13067 [math.PR] (Published 2019-12-30)

A Many-Server Functional Strong Law For A Non-Stationary Loss Model

Prakash Chakraborty, Harsha Honnappa

arXiv:0809.4275 [math.PR] (Published 2008-09-24, updated 2009-12-10)

Heavy-traffic limits for waiting times in many-server queues with abandonment

Rishi Talreja, Ward Whitt

arXiv:1610.01118 [math.PR] (Published 2016-10-04)