Model of the leaky bucket ATM generic flow control mechanism: a case study on solving large cyclic models
Type | Article | ||||||||
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Date | 2001-06 | ||||||||
Language | English | ||||||||
Author(s) | Carrasco Ja, Sune V, Mahevas Stephanie, 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. |
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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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