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
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;
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
DOI :
10.1109/ICCIE.2009.5223738
