Queues in Which Customers Receive Simultaneous Service from a Random Number of Servers: A System Point Approach
Queues in Which Customers Receive Simultaneous Service from a Random Number of Servers: A System Point Approach
复制标题
客户从随机数量的服务器接收同时服务的队列：系统点方法
DOI：
10.1287/mnsc.30.1.51
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发表时间：
1984
影响因子：
5.4
通讯作者：
L. Green
中科院分区：
文献类型：
--
作者：
P. H. Brill;L. Green
我们检查了带有泊松到达的多服务器排队系统，其中客户需要从随机数量的服务器中同时服务。分配给同一客户的服务器同时开始和结束服务。通常，服务时间被认为是指数分布的。提出了一种系统点方法作为获取每种客户类型的等待时间分布的框架。明确的解决方案是针对两个服务器系统得出的。
We examine a multi-server queueing system with Poisson arrivals in which customers require simultaneous service from a random number of servers. Servers assigned to the same customer begin and end service concurrently. Service times are, in general, assumed to be exponentially distributed. A system point approach is presented as a framework for obtaining the waiting time distribution for each customer type. Explicit solutions are derived for the two-server system.