An RG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue

doi:10.1081/STM-200056223

UM > Faculty of Business Administration > DEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT

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Status	已發表Published
	An RG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue
	Quan-Lin Li 1; Zhaotong Lian2 ; Liming Liu 3
	2005
Source Publication	Stochastic models
ISSN	1532-6349
Volume	21 Issue:2-3 Pages: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.
Keyword	Batch Markovian Arrival Process (Bmap) Processor-sharing Queue, Sojourn Time Generalized Processor-sharing Markov Chain Of M/g/1 Type,
DOI	10.1081/STM-200056223
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Statistics & Probability
WOS ID	WOS:000230199400014
Publisher	TAYLOR & FRANCIS INC, 530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106 USA
Scopus ID	2-s2.0-27944468169
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science
Citation statistics
Document Type	Journal article
Collection	DEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT University of Macau
Corresponding Author	Quan-Lin Li
Affiliation	1.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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