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Departure Processes of a Tandem Network
Zhaotong Lian1; Ning Zhao1; Liming Liu2
2008
Source PublicationLecture Notes in Operations Research 8
PublisherWORLD PUBLISHING CORPORATION, 137 CHAONEI DAJIE, BEIJING 100010, PEOPLES R CHINA
Pages98-103
Abstract

Consider a 2-stage single-server tandem queue with a MAP to the first stage and the exponential service times. Using the DREB scheme, we formulate the joint queue length process into a single-dimensional level-dependent quasi-birth-death (LDQBD) process with expanding blocks. This allows us to show that the departure process from stage 1 is a MAP with infinite phases or IMAP and that the departure process of any IMAP/M/1 is still an IMAP.

KeywordTandem Network Level-dependent Qbd Departure Process Imap
DOI10.1007/s12351-010-0076-0
Language英語English
Volume8
WOS IDWOS:000264180400012
WOS SubjectOperations Research & Management Science ; Mathematics, Applied
WOS Research AreaOperations Research & Management Science ; Mathematics
Scopus ID2-s2.0-80052906826
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Citation statistics
Document TypeBook chapter
CollectionDEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT
University of Macau
Affiliation1.Faculty of Business Administration, University of Macau
2.Faculty of Business, Hong Kong Polytechnic University
First Author AffilicationFaculty of Business Administration
Recommended Citation
GB/T 7714
Zhaotong Lian,Ning Zhao,Liming Liu. Departure Processes of a Tandem Network[M]. Lecture Notes in Operations Research 8:WORLD PUBLISHING CORPORATION, 137 CHAONEI DAJIE, BEIJING 100010, PEOPLES R CHINA, 2008, 98-103.
APA Zhaotong Lian., Ning Zhao., & Liming Liu (2008). Departure Processes of a Tandem Network. Lecture Notes in Operations Research 8, 8, 98-103.
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