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
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.
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页码:183 / 198
页数:16
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