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

被引：37
作者：
Bouchentouf, Amina Angelika [1 ]
Cherfaoui, Mouloud [2 ,3 ]
Boualem, Mohamed [2 ]
机构：
[1] Djillali Liabes Univ Sidi Bel Abbes, Dept Math, Lab Math, BP 89, Sidi Bel Abbes 22000, Algeria
[2] Univ Bejaia, Res Unit Lamos Modeling & Optimizat Syst, Bejaia 06000, Algeria
[3] Univ Biskra, Dept Math, Biskra 07000, Algeria
来源：
OPSEARCH | 2019年 / 56卷 / 01期
关键词：
Queueing models; Balking; Reneging; Retention of reneged customers; Bernoulli feedback; Economic analysis; SYSTEM; BALKING; QUEUES;
D O I：
10.1007/s12597-019-00357-4
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
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：24
相关论文
共 34 条
[1]   THE M/M/C/N QUEUE WITH BALKING AND RENEGING [J].
ABOUELATA, MO ;
HARIRI, AMA .
COMPUTERS & OPERATIONS RESEARCH, 1992, 19 (08) :713-716
[2]   Q-matrix method for the analysis and performance evaluation of unreliable M/M/1/N queueing model [J].
Afroun, Fairouz ;
Aissani, Djamil ;
Hamadouche, Djamel ;
Boualem, Mohamed .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (18) :9152-9163
[3]   Transient solution of the M/M/c queue with balking and reneging [J].
Al-Seedy, R. O. ;
El-Sherbiny, A. A. ;
El-Shehawy, S. A. ;
Ammar, S. I. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (08) :1280-1285
[4]   Analysis of customers' impatience in queues with server vacations [J].
Altman, E ;
Yechiali, U .
QUEUEING SYSTEMS, 2006, 52 (04) :261-279
[5]   INFINITE-SERVER QUEUES WITH SYSTEM'S ADDITIONAL TASKS AND IMPATIENT CUSTOMERS [J].
Altman, Eitan ;
Yechiali, Uri .
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2008, 22 (04) :477-493
[6]  
Ammar S.I., 2014, Journal of the Egyptian mathematical society, V22, P90
[7]   Heterogeneous two-server queueing system with reverse balking and reneging [J].
Bouchentouf A.A. ;
Messabihi A. .
OPSEARCH, 2018, 55 (2) :251-267
[8]   On feedback queueing system with reneging and retention of reneged customers, multiple working vacations and Bernoulli schedule vacation interruption [J].
Bouchentouf A.A. ;
Yahiaoui L. .
Arabian Journal of Mathematics, 2017, 6 (1) :1-11
[9]  
Choudhury Gautam, 2015, International Journal of Mathematics in Operational Research, V7, P318
[10]  
Garg P. C., 2005, J INDIAN SOC STAT OP, V26, P27
1234