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TLM modelling of the diffusion approximation of queuing system
Author(s) -
Witwit M.,
Ball F.
Publication year - 2001
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/1099-1204(200101/02)14:1<69::aid-jnm410>3.0.co;2-g
Subject(s) - queueing theory , computer science , diffusion , heavy traffic approximation , queue , node (physics) , reading (process) , process (computing) , mathematics , mathematical optimization , computer network , physics , discrete mathematics , programming language , political science , law , thermodynamics , quantum mechanics
This paper provides an application of the TLM method to any queuing systems that can be approximated as a diffusion process. The TLM node has been extended in order to take into account the variables associated with the diffusion approximation of the queue, which is presented in Harrison, Patel, Performance Modelling of Communication Networks and Computer Architectures, Addison‐Wesley: Reading, MA, 1994. The analytical solution is compared with the TLM numerical results. Copyright © 2001 John Wiley & Sons, Ltd.