Approximation of the M2/G2/1 Queue with Preemptive Priority Using the Strong Stability Method

被引：0

作者：

Hamadouche, Naima ^{[1
]}

Aissani, Djamil ^{[1
]}

机构：

[1] Univ Bejaia, Lab Modeling & Optimizat Syst, Bejaia 06000, Algeria

来源：

CIE: 2009 INTERNATIONAL CONFERENCE ON COMPUTERS AND INDUSTRIAL ENGINEERING, VOLS 1-3 | 2009年

关键词：

Approximation; Error of approximation; Preemptive resume priority M-2/G(2)/1 system; Strong stability; MARKOV-CHAINS;

D O I：

10.1109/ICCIE.2009.5223738

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The main purpose of this article is to use the strong stability method to approximate the characteristics of the M-2/G(2)/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.

引用

页码：1220 / 1225

页数：6

共 6 条

[1] Approximation in the M2/G2/1 Queue with Preemptive Priority
Naima Hamadouche
Djamil Aïssani
Methodology and Computing in Applied Probability, 2011, 13 : 563 - 581
[2] QUANTITATIVE ESTIMATES IN AN M2/G2/1 PRIORITY QUEUE WITH NON-PREEMPTIVE PRIORITY: THE METHOD OF STRONG STABILITY
Bouallouche-Medjkoune, Louiza
Aissani, Djamil
STOCHASTIC MODELS, 2008, 24 (04) : 626 - 646
[3] Approximation in the M 2/G 2/1 Queue with Preemptive Priority
Hamadouche, Naima
Aissani, Djamil
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2011, 13 (03) : 563 - 581
[4] Approximate analysis of an GI/M/∞ queue using the strong stability method
Bareche, Aicha
Cherfaoui, Mouloud
Aissani, Djamil
IFAC PAPERSONLINE, 2016, 49 (12): : 863 - 868
[5] Performance Evaluation in a Queueing System M2/G/1
Hamadouche, Naima
Aissani, Djamil
MODELLING, COMPUTATION AND OPTIMIZATION IN INFORMATION SYSTEMS AND MANAGEMENT SCIENCES, PROCEEDINGS, 2008, 14 : 224 - 233
[6] Two-mode entanglement using a spin-1/2 approximation method in two-component condensates
Chen, Jing
Guo, Yan-Qing
Cao, Hai-Jing
Song, He-Shan
PHYSICS LETTERS A, 2007, 360 (03) : 429 - 434

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