Optimal heavy-traffic queue length scaling in an incompletely saturated switch

Siva Theja Maguluri (), Sai Kiran Burle () and R. Srikant ()
Additional contact information
Siva Theja Maguluri: Georgia Institute of Technology
Sai Kiran Burle: University of Illinois at Urbana-Champaign
R. Srikant: University of Illinois at Urbana-Champaign

Queueing Systems: Theory and Applications, 2018, vol. 88, issue 3, No 4, 279-309

Abstract: Abstract We consider an input-queued switch operating under the MaxWeight scheduling algorithm. This system is interesting to study because it is a model for Internet routers and data center networks. Recently, it was shown that the MaxWeight algorithm has optimal heavy-traffic queue length scaling when all ports are uniformly saturated. Here we consider the case when an arbitrary number of ports are saturated (which we call the incompletely saturated case), and each port is allowed to saturate at a different rate. We use a recently developed drift technique to show that the heavy-traffic queue length under the MaxWeight scheduling algorithm has optimal scaling with respect to the switch size even in these cases.

Keywords: $$n \times n$$ n × n switch; Heavy-traffic optimality; Drift method; Performance analysis; 60K25; 90B15 (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s11134-017-9562-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:queues:v:88:y:2018:i:3:d:10.1007_s11134-017-9562-x

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/11134/

DOI: 10.1007/s11134-017-9562-x

Access Statistics for this article

Queueing Systems: Theory and Applications is currently edited by Sergey Foss

More articles in Queueing Systems: Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().