An RG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue
Quan-Lin Li1; Zhaotong Lian2; Liming Liu3
2005
Source PublicationStochastic models
ISSN1532-6349
Volume21Issue:2-3Pages:507-530
Other Abstract

In this paper, we study a BMAP/M/1 generalized processor-sharing queue. We propose an RG-factorization approach, which can be applied to a wider class of Markovian blockstructured processor-sharing queues. We obtain the expressions for both the distribution of the stationary queue length and the Laplace transform of the sojourn time distribution. From these two expressions, we develop an algorithm to compute the mean and variance of the sojourn time approximately.

KeywordBatch Markovian Arrival Process (Bmap) Processor-sharing Queue, Sojourn Time Generalized Processor-sharing Markov Chain Of M/g/1 Type,
DOIhttps://doi.org/10.1081/STM-200056223
Indexed BySCI ; CPCI
Language英語English
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:000230199400014
PublisherTAYLOR & FRANCIS INC, 530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106 USA
Fulltext Access
Citation statistics
Cited Times [WOS]:17   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT
Corresponding AuthorQuan-Lin Li
Affiliation1.Department of Industrial Engineering, Tsinghua University, Beijing, P.R. China
2.Faculty of Business Administration, University of Macau, Macao, China
3.Department of Industrial Engineering and Engineering Management, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China
Recommended Citation
GB/T 7714
Quan-Lin Li,Zhaotong Lian,Liming Liu. An RG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue[J]. Stochastic models,2005,21(2-3):507-530.
APA Quan-Lin Li,Zhaotong Lian,&Liming Liu.(2005).An RG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue.Stochastic models,21(2-3),507-530.
MLA Quan-Lin Li,et al."An RG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue".Stochastic models 21.2-3(2005):507-530.
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