Title
Departure process analysis of the multi-type MMAP[K]/PH[K]/1 FCFS queue Departure process analysis of the multi-type MMAP[K]/PH[K]/1 FCFS queue
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Amsterdam ,
Subject
Computer. Automation
Source (journal)
Performance evaluation. - Amsterdam
Volume/pages
70(2013) :6 , p. 423-439
ISSN
0166-5316
ISI
000319712300003
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The analysis of the departure process of queues is important in several aspects, for instance, it plays a prominent role in the decomposition based analysis of open queueing networks. While there are several results available for the departure process analysis of MAP driven single-class (or, single-type) queues, there are very few results available for the multi-type variants of these queues. In this paper we consider the departure process of the multi-type MMAP[K]/PH[K]/1 FCFS queue. We derive the joint Laplace-Stieltjes transform of the lag-n inter-departure times, and provide efficient algorithms to compute the lag-1 joint moments, the lag-n joint means and cross correlations of the inter-departure times. While the analysis of the departure process is typically performed via the queue length distribution at departure instants, we rely on the age process to derive various properties of the departure process. (C) 2013 Elsevier B.V. All rights reserved.
E-info
https://repository.uantwerpen.be/docman/iruaauth/ba52f7/a335486.pdf
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