Delay Analysis of a Variable-Capacity Batch-Server Queue with General Class-Dependent Service Times

被引：4

作者：

Baetens, Jens ^{[1
]}

Steyaert, Bart ^{[1
]}

Claeys, Dieter ^{[1
,2
,3
]}

Bruneel, Herwig ^{[1
]}

机构：

[1] Univ Ghent, Dept Telecommun & Informat Proc, SMACS Res Grp, Sint Pietersnieuwstr 41, B-9000 Ghent, Belgium

[2] Univ Ghent, Dept Ind Syst Engn & Prod Design, Technol Pk 903, Zwijnaarde, Belgium

[3] Flanders Make, Dept Agile & Human Ctr Prod & Robot Syst, Zwijnaarde, Belgium

来源：

INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017) | 2018年 / 1978卷

关键词：

BULK-SERVICE; SYSTEM;

D O I：

10.1063/1.5043830

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In manufacturing, a batch server groups multiple customers that require the same type of service based on a specific characteristic, such as temperature or destination. In this paper, we extend previous work with the analysis of the delay in a variable-capacity batch-service queueing system with general class-dependent service times and customer-based correlation in the arrival process. The impact of asymmetry and correlation in the arrival process on the mean delay of a random customer and the tail distribution of the delay is investigated as well.

引用

页数：4

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