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Generalized Loss Models and Queueing‐loss Networks
Author(s) -
Kobayashi Hisashi,
Mark Brian L.
Publication year - 2002
Publication title -
international transactions in operational research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.032
H-Index - 52
eISSN - 1475-3995
pISSN - 0969-6016
DOI - 10.1111/1475-3995.00343
Subject(s) - layered queueing network , queueing theory , computer science , erlang (programming language) , g network , mean value analysis , telecommunications network , computer network , mathematical optimization , distributed computing , theoretical computer science , mathematics , functional programming
The classical Erlang and Engset loss models have been used extensively in the traffic engineering of traditional telephone exchanges. More recently, these models have been generalized to the so‐called loss networks, which provide models for resource‐sharing in multi‐service telecommunication networks. In this paper, we introduce a new generalized class of models, queueing‐loss networks, which captures both queueing and loss aspects of a system. The queueing‐loss network model is a natural extension of queueing networks and loss networks that have the product‐form solution. We discuss applications of the model and analyze a particular example of a simple queueing‐loss network.