Analyzing an M|M| N Queueing System with Feedback by the Method of Asymptotic Analysis

被引：4
|
作者：
Nazarov, A. [1 ]
Melikov, A. [2 ]
Pavlova, E. [1 ]
Aliyeva, S. [3 ]
Ponomarenko, L. [4 ,5 ]
机构：
[1] Natl Res Tomsk State Univ, Tomsk, Russia
[2] Azerbaijan Natl Acad Sci, Inst Control Syst, Baku, Azerbaijan
[3] Baku State Univ, Baku, Azerbaijan
[4] Natl Acad Sci Ukraine, Int Res & Training Ctr Informat Technol & Syst, Kiev, Ukraine
[5] Minist Educ & Sci Ukraine, Kiev, Ukraine
来源：
CYBERNETICS AND SYSTEMS ANALYSIS | 2021年 / 57卷 / 01期
关键词：
multi-server queueing system; instant feedback; delayed feedback; orbit; asymptotic; analysis method;
D O I：
10.1007/s10559-021-00329-x
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the paper, we consider a mathematical model for repeated customers in the form of a queuing system with N servers, instant and delayed feedback, and an orbit. It is believed that the orbit size for repeated customers is infinite. The input flow is Poisson. To find the joint probability distribution of the number of occupied servers in the system and the number of customers in the orbit, the asymptotic analysis method is used. The results of a numerical experiment are presented.
引用
收藏
页码：57 / 65
页数：9
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