Open AccessOn the Convergence of Truncated Processes of Multiserver Retrial Queues
Author(s) -
Ma Jose Domenech-Benlloch,
José Manuel Giménez-Guzmán,
Vicent Pla,
Jorge Martinez–Bauset,
Vicente CasaresGiner
Publication year - 2010
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2010/580349
Subject(s) - convergence (economics) , simple (philosophy) , queue , mathematics , computer science , retrial queue , mathematical optimization , calculus (dental) , computer network , queueing system , medicine , philosophy , dentistry , epistemology , economics , economic growth
Retrial queues can only be solved in a closed form in very few and simple cases,so researchers must resort to approximate models. However, most of the papers thatpropose approximate models assume the convergence of the proposed models to theirexact counterparts, without providing a rigorous mathematical proof. In this paper wedemonstrate the convergence of finite truncated models with two reattempt orbits
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