DocumentCode
3152617
Title
Approximation of the M2 /G2 /1 queue with preemptive priority using the strong stability method
Author
Hamadouche, N. ; Aïssani, Djamil
Author_Institution
Lab. of Modeling & Optimization of Syst., Univ. of Bejaia, Bejaia, Algeria
fYear
2009
fDate
6-9 July 2009
Firstpage
1220
Lastpage
1225
Abstract
The main purpose of this article is to use the strong stability method to approximate the characteristics of the M2/G2/1 queue with preemptive priority by those of the M/G/1 queue, when the arrival intensity of the priority request is sufficiently small. This last queue is simpler and more exploitable in practice. For this, we proof the stability conditions and next we obtain the quantitative stability estimates with an exact computation of constants.
Keywords
constraint handling; queueing theory; stability; M/G/1 queue; constraint computation; preemptive priority; strong stability method; Asymptotic stability; Kernel; Modeling; Optimization methods; Queueing analysis; Resumes; Robust stability; Stationary state; Approximation; Error of approximation; Preemptive resume priority M2 /G2 /1 system; Strong stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Computers & Industrial Engineering, 2009. CIE 2009. International Conference on
Conference_Location
Troyes
Print_ISBN
978-1-4244-4135-8
Electronic_ISBN
978-1-4244-4136-5
Type
conf
DOI
10.1109/ICCIE.2009.5223738
Filename
5223738
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