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The Internet Erlang Formula

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Authors:
  • Iversen, Villy Bæk
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    Department of Photonics Engineering, Technical University of Denmark
DOI:
10.1007/978-3-642-32686-8_30
Abstract:
This paper presents a robust and efficient algorithm for evaluating multi-service multi-rate queueing systems, including finite buffer systems and loss systems. Vint Cerf listed in 2007 seven research problems concerning the Internet. This paper responds to the second problem: an Internet Erlang Formula. The algorithm derived is based on reversible models and thus insensitive to service time distributions. For buffer-less systems we get the classical multi-rate teletraffic models. As the simplest special case we get the classical recursion formula for Erlang-B. The performance of the algorithm is O{N · k} where N number of services, and k is the total number of servers and buffers in basic bandwidth units. The memory requirement is O{N · d} where d is the maximum requested bandwidth in basic bandwidth units.
ISBN:
9783642326851, 9783642326868
Type:
Conference paper
Language:
English
Published in:
Lecture Notes in Computer Science: 12th International Conference, New2an 2012, and 5th Conference, Rusmart 2012, St. Petersburg, Russia, August 27-29, 2012 Proceedings, 2012, p. 328-337
Keywords:
Algorithms; Bandwidth; Queueing networks; Queueing theory; Internet
Main Research Area:
Science/technology
Publication Status:
Published
Series:
Lecture Notes in Computer Science
Review type:
Peer Review
Conference:
The 12th International Conference on Next Generation Wired/Wireless Networking (NEW2AN 2012) and the 5th conference on Internet of Things and Smart Spaces (ruSMART 2012)Next Generation Teletraffic and Wired/Wireless Advanced Networking
Publisher:
Springer
Submission year:
2012
Scientific Level:
Scientific
ID:
233346812

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