A Queueing Model of a Multi-Service System with State-Dependent Distribution of Resources for Each Class of Calls

Slawomir HANCZEWSKI
Maciej STASIAK
Joanna WEISSENBERG

Publication
IEICE TRANSACTIONS on Communications   Vol.E97-B    No.8    pp.1592-1605
Publication Date: 2014/08/01
Online ISSN: 1745-1345
DOI: 10.1587/transcom.E97.B.1592
Type of Manuscript: Special Section PAPER (Special Section on EU's FP7 ICT R&D Project Activities on Future Broadband Access Technologies in Conjunction with Main Topics of 2013 IEICE ICT Forum)
Category: 
Keyword: 
queueing systems,  multi-service systems,  Markov processes,  

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Summary: 
This paper presents a new, accurate multi-service model of a queueing system with state-dependent distribution of resources for each class of calls. The analysis of the considered queueing system was carried out at both the microstate and macrostate levels. The proposed model makes it possible to evaluate averaged parameters of queues for individual classes of calls that are offered to the system. In addition, the paper proposes a new algorithm for a determination of the occupancy distribution in the queueing system at the microstate level. The results of the calculations are compared with the results of a digital simulation for multi-service queueing systems with state-independent distribution of resources.