STOCHASTIC BOUNDS FOR A SINGLE SERVER QUEUE WITH GENERAL RETRIAL TIMES

被引：0
作者：
Boualem, M. [1 ]
Djellab, N. [2 ]
Aissani, D. [3 ]
机构：
[1] Univ Bejaia, Dept Technol, Lab Modeling & Optimizat Syst LAMOS, Bejaia 06000, Algeria
[2] Univ Badji Mokhtar, Dept Math, Annaba 23000, Algeria
[3] Univ Bejaia, Dept Operat Res, Lab Modeling & Optimizat Syst LAMOS, Bejaia 06000, Algeria
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2014年 / 40卷 / 01期
关键词：
Retrial queues; Markov chain; stochastic bounds; monotonicity; ageing distributions; CUSTOMERS; INEQUALITIES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose to use a mathematical method based on stochastic comparisons of Markov chains in order to derive performance indice bounds. The main goal of this paper is to investigate various monotonicity properties of a single server retrial queue with first-come-first-served (FCFS) orbit and general retrial times using the stochastic ordering techniques.
引用
收藏
页码：183 / 198
页数：16
相关论文
共 32 条
[1]   A discrete time Geo/G/1 retrial queue with general retrial times and balking customers [J].
Aboul-Hassan, A. ;
Rabia, S. I. ;
Taboly, F. A. .
JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2008, 37 (04) :335-348
[2]  
Artalejo JR., 2008, Retrial Queueing Systems, DOI [10.1007/978-3-540-78725-9, DOI 10.1007/978-3-540-78725-9]
[3]   A single-server retrial queue with general retrial times and Bernoulli schedule [J].
Atencia, I ;
Moreno, P .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 162 (02) :855-880
[4]  
Bhaskaran B. G., 1986, Queueing Systems Theory and Applications, V1, P103, DOI 10.1007/BF01149330
[5]   Stochastic Approximations and Monotonicity of a Single Server Feedback Retrial Queue [J].
Boualem, Mohamed ;
Djellab, Natalia ;
Aissani, Djamil .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
[6]   Stochastic inequalities for M/G/1 retrial queues with vacations and constant retrial policy [J].
Boualem, Mohamed ;
Djellab, Natalia ;
Aissani, Djamil .
MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (1-2) :207-212
[7]  
Choudhury Gautam, 2009, International Journal on Information and Management Sciences, V20, P1
[8]  
Falin G. I., 1986, Optimization, V17, P649, DOI 10.1080/02331938608843181
[9]  
FALIN G. I., 1997, RETRIAL QUEUES
[10]  
Farahmand K., 1990, Queueing Systems Theory and Applications, V6, P223, DOI 10.1007/BF02411475
1234