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Using factorization in analyzing D‐BMAP/G/1 queues
Author(s) -
Ho Woo Lee,
Se Won Lee,
Jongwoo Jeon
Publication year - 2005
Publication title -
international journal of stochastic analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-3340
pISSN - 2090-3332
DOI - 10.1155/jamsa.2005.119
Subject(s) - mathematics , queue , factorization , discrete time and continuous time , burke's theorem , idle , queueing theory , discrete mathematics , queue management system , algorithm , computer science , statistics , fork–join queue , computer network , operating system
We demonstrate how one can use the factorization property to derive the queue-length distributions of the discrete-time BMAP/G/1 queues with complex operational behavior during the idle period. The procedure demonstrated in this paper can be applied to the analysis of many other discrete-time BMAP/G/1 queues with more behavioral complexities

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