Queueing System MAP/M/∞ with n Types of Customers

被引:0
|
作者
Pankratova, Ekaterina [1 ]
Moiseeva, Svetlana [1 ]
机构
[1] Natl Res Tomsk State Univ, Tomsk 634050, Russia
关键词
queueing system; Markovian arrival process; different types of customers; method of initial moments; asymptotic analysis; M/G/INFINITY;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The research of the queueing system with incoming MAP, n types of customers, infinite number of servers and exponential service time is proposed. Investigation of n-dimensional stochastic process that characterizes the number of busy servers for different types of customers is held by the method of initial moments. There are expressions for the characteristic function of the number of busy servers for different types of customers in the system MAP/M/infinity under the asymptotic condition that service time infinitely grows equivalently to each type of customers.
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页码:356 / 366
页数:11
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