Performance and economic analysis of a single server feedback queueing model with vacation and impatient customers

被引:0
|
作者
Amina Angelika Bouchentouf
Mouloud Cherfaoui
Mohamed Boualem
机构
[1] Djillali Liabes University of Sidi Bel Abbes,Department of Mathematics, Laboratory of Mathematics
[2] University of Bejaia,Research Unit LaMOS (Modeling and Optimization of Systems)
[3] University of Biskra,Department of Mathematics
来源
OPSEARCH | 2019年 / 56卷
关键词
Queueing models; Balking; Reneging; Retention of reneged customers; Bernoulli feedback; Economic analysis; 60K25; 68M20; 90B22;
D O I
暂无
中图分类号
学科分类号
摘要
In this investigation, a single server M/M/1/N feedback queueing system with vacation, balking, reneging and retention of reneged customers is analyzed. By considering the mathematical modeling, we derive the steady state probabilities of the number of customers in the system. We obtain important measures of effectiveness of the model by using the stationary distribution, and develop a cost model of the queueing system. Further, a numerical study and a cost profit analysis are carried out.
引用
收藏
页码:300 / 323
页数:23
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