The Total Capacity of Customers in the Infinite-Server Queue with MMPP Arrivals

被引：3
|
作者：
Lisovskaya, Ekaterina [1 ]
Moiseeva, Svetlana [1 ]
Pagano, Michele [2 ]
机构：
[1] Tomsk State Univ, Tomsk, Russia
[2] Univ Pisa, Pisa, Italy
来源：
DISTRIBUTED COMPUTER AND COMMUNICATION NETWORKS, DCCN 2016 | 2016年 / 678卷
关键词：
Infinite-server queueing system; Customer with random capacity; Markovian Modulated Poisson Process;
D O I：
10.1007/978-3-319-51917-3_11
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, the infinite-server queueing system with a random capacity of customers is considered. In this system, the total capacity of customers is analysed by means of the asymptotic analysis method with high-rate Markov Modulated Poisson Process arrivals. It is obtained that the stationary probability distribution of the total customer capacity can be approximated by the Gaussian distribution. Parameters of the approximation is also derived in the paper.
引用
收藏
页码：110 / 120
页数：11
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