A two-stage queueing network with MAP inputs and buffer sharing
Wenhui Zhou1; Zhaotong Lian2; Wei Xu2; Weixiang Huang1
2013-03-15
Source PublicationApplied Mathematical Modelling
ISSN0307-904X
Volume37Issue:6Pages:3736-3747
Abstract

In this paper, we study a two-stage tandem queueing network with MAP inputs and buffer sharing. The two stages share the same buffer. By using Markov process, we give an exact analysis of the queueing network. Since the customer arrival is not a Poisson process, the PASTA (Poisson Arrivals See Time Averages) property does not hold. A matrix filtration technique is proposed to derive the probability distribution of queue length at arrivals. Our objective is to investigate how the buffer sharing policy is mitigate the tradeoff between the probability that an arriving customer is lost and the probability that the first-stage server is blocked. The numerical results show that buffer sharing policy is more flexible, especially when the inputs have large variant and are correlated. 

KeywordBuffer Sharing Map Matrix Filtrate Technique Two-stage Queueing Network
DOI10.1016/j.apm.2012.07.003
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaEngineering ; Mathematics ; Mechanics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000316706300010
PublisherELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
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Citation statistics
Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT
Corresponding AuthorZhaotong Lian
Affiliation1.School of Business Administration,South China University of Technology,,China
2.Faculty of Business Administration,University of Macau,,Macao
Corresponding Author AffilicationFaculty of Business Administration
Recommended Citation
GB/T 7714
Wenhui Zhou,Zhaotong Lian,Wei Xu,et al. A two-stage queueing network with MAP inputs and buffer sharing[J]. Applied Mathematical Modelling,2013,37(6):3736-3747.
APA Wenhui Zhou,Zhaotong Lian,Wei Xu,&Weixiang Huang.(2013).A two-stage queueing network with MAP inputs and buffer sharing.Applied Mathematical Modelling,37(6),3736-3747.
MLA Wenhui Zhou,et al."A two-stage queueing network with MAP inputs and buffer sharing".Applied Mathematical Modelling 37.6(2013):3736-3747.
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