Publication
Title
Departure process analysis of the multi-type MMAP[K]/PH[K]/1 FCFS queue
Author
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.
Language
English
Source (journal)
Performance evaluation. - Amsterdam
Publication
Amsterdam : 2013
ISSN
0166-5316
Volume/pages
70:6(2013), p. 423-439
ISI
000319712300003
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 04.09.2013
Last edited 10.11.2017
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