A two-stage queueing network with MAP inputs and buffer sharing
Zhou,Wenhui1; Lian,Zhaotong2; Xu,Wei2; Huang,Weixiang1
Source PublicationApplied Mathematical Modelling
AbstractIn 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. © 2012 Elsevier Inc.
KeywordBuffer sharing MAP Matrix filtrate technique Two-stage queueing network
URLView the original
Fulltext Access
Citation statistics
Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.School of Business Administration,South China University of Technology,,China
2.Faculty of Business Administration,University of Macau,,Macao
Recommended Citation
GB/T 7714
Zhou,Wenhui,Lian,Zhaotong,Xu,Wei,et al. A two-stage queueing network with MAP inputs and buffer sharing[J]. Applied Mathematical Modelling,2013,37(6):3736-3747.
APA Zhou,Wenhui,Lian,Zhaotong,Xu,Wei,&Huang,Weixiang.(2013).A two-stage queueing network with MAP inputs and buffer sharing.Applied Mathematical Modelling,37(6),3736-3747.
MLA Zhou,Wenhui,et al."A two-stage queueing network with MAP inputs and buffer sharing".Applied Mathematical Modelling 37.6(2013):3736-3747.
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Zhou,Wenhui]'s Articles
[Lian,Zhaotong]'s Articles
[Xu,Wei]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhou,Wenhui]'s Articles
[Lian,Zhaotong]'s Articles
[Xu,Wei]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhou,Wenhui]'s Articles
[Lian,Zhaotong]'s Articles
[Xu,Wei]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.