The Annals of Applied Probability

Loss Networks

F. P. Kelly

Full-text: Open access

Abstract

This paper describes work on the stochastic modelling of loss networks. Such systems have long been of interest to telephone engineers and are becoming increasingly important as models of computer and information systems. Throughout the century problems from this field have provided an impetus to the development of probability theory, pure and applied. This paper provides an introduction to the area and a review of recent work.

Article information

Source
Ann. Appl. Probab. Volume 1, Number 3 (1991), 319-378.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
http://projecteuclid.org/euclid.aoap/1177005872

Digital Object Identifier
doi:10.1214/aoap/1177005872

Mathematical Reviews number (MathSciNet)
MR1111523

Zentralblatt MATH identifier
0743.60099

JSTOR
links.jstor.org

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Secondary: 60K30: Applications (congestion, allocation, storage, traffic, etc.) [See also 90Bxx] 90B15: Network models, stochastic

Keywords
Erlang's formula blocking probability phase transition network flow repacking queueing network

Citation

Kelly, F. P. Loss Networks. Ann. Appl. Probab. 1 (1991), no. 3, 319--378. doi:10.1214/aoap/1177005872. http://projecteuclid.org/euclid.aoap/1177005872.


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