DocumentCode
859603
Title
Recursive Formula for the Moments of Queue Length in the M/M/1 Queue
Author
Liu, Jianming ; Jiang, Xiaohong ; Horiguchi, Susumu
Author_Institution
Grad. Sch., Tohoku Univ., Sendai
Volume
12
Issue
9
fYear
2008
fDate
9/1/2008 12:00:00 AM
Firstpage
690
Lastpage
692
Abstract
This letter presents the recursive formulas of the moments of queue length for the M/M/1 queue and M/M/1/B queue, respectively. The higher moments of queue length are important for optimization problem. Our method provides an alternative approach to derive the moments of queue length, instead of taking the derivatives of the moment generating function.
Keywords
queueing theory; recursive estimation; M-M-1-B queue; moments of queue length; optimization problem; recursive formula; Communication networks; Distributed computing; Equations; Exponential distribution; Helium; Performance analysis; Queueing analysis; Telecommunication traffic; Traffic control; Transient analysis; M/M/1 queue; moments; queue length distribution; recursive formula;
fLanguage
English
Journal_Title
Communications Letters, IEEE
Publisher
ieee
ISSN
1089-7798
Type
jour
DOI
10.1109/LCOMM.2008.080700
Filename
4623781
Link To Document