Model of the leaky bucket ATM generic flow control mechanism: a case study on solving large cyclic models

Type Article
Date 2001-06
Language English
Author(s) Carrasco Ja, Sune V, Mahevas StephanieORCID, Rubino G
Affiliation(s) Univ Politecn Cataluna, Dept Engn Elect, E-08028 Barcelona, Spain.
IFREMER, MAERHA Lab, F-44311 Nantes 03, France.
IRISA, F-35042 Rennes, France.
Source Iee Proceedings Communications (1350-2425) (Iee-inst Elec Eng), 2001-06 , Vol. 148 , N. 3 , P. 188-196
DOI 10.1049/ip-com:20010285
Abstract The authors describe and solve a Markov model of the leaky bucket ATM generic now control mechanism. The model has a space cardinality which grows quickly with its parameters and is challenging to solve. Exploiting the cyclic nature of the model, the authors develop a methodology which allows them to efficiently solve instances of the model with 3 905 134 states and 53 869 532 transitions using 29.8Mbyte of memory and 222Mbyte of disc storage. The CPU utilisation is high (between 70% and 90%). The methodology is new and can be easily extended to any kind of finite cyclic Markov models.
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