Stationary Analysis of Infinite Server Queue with Batch Service

被引：3
|
作者：
Nakamura, Ayane [1 ]
Phung-Duc, Tuan [2 ]
机构：
[1] Univ Tsukuba, Grad Sch Sci & Technol, Tsukuba, Ibaraki 3058577, Japan
[2] Univ Tsukuba, Fac Engn Informat & Syst, Tsukuba, Ibaraki 3058577, Japan
来源：
PERFORMANCE ENGINEERING AND STOCHASTIC MODELING | 2021年 / 13104卷
关键词：
Infinite server queue; Batch service; Factorial moments; BULK-SERVICE;
D O I：
10.1007/978-3-030-91825-5_25
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we consider an infinite server queue with batch service. Although many studies on queues with finite number of servers and batch service have been conducted, there are only a few research related to the infinite server queue with batch service and they only consider the moments of the queue length. We present the derivation of the stationary distribution for the infinite server queue with batch service by the method based on factorial moment generating function. Furthermore, we derive some performance measures and show some numerical examples of the stationary distribution.
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页码：411 / 424
页数：14
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