Queues with superposition arrival processes in heavy traffic

Ward Whitt

Stochastic Processes and their Applications, 1985, vol. 21, issue 1, 81-91

Abstract: To help provide a theoretical basis for approximating queues with superposition arrival processes, we prove limit theorems for the queue-length process in a [Sigma] GIi/G/s model, in which the arrival process is the superposition of n independent and identically distributed stationary renewal processes each with rate n-1. The traffic intensity [rho] is allowed to approach the critical value one as n increases. If n(1-[rho])2 --> c, 0 0 and c --> [infinity].

Keywords: queues; heavy; traffic; superposition; limit; theorems; central; limit; theorem (search for similar items in EconPapers)
Date: 1985
References: Add references at CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0304-4149(85)90378-3
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:21:y:1985:i:1:p:81-91

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().