Heavy traffic theory for queues with several servers. II
Heavy traffic theory for queues with several servers. II
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具有多个服务器的队列的大流量理论。
DOI：
10.2307/3212906
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发表时间：
1974
影响因子：
1
通讯作者：
J. Köllerström
中科院分区：
文献类型：
--
作者：
J. Köllerström
这里研究的队列是统计均衡（交通强度小于1）的GI/G/k类型。本文对Kingman（1965）猜想并由Köllerström（1974）建立的繁忙交通中等待时间分布函数的指数极限公式进行了推广。研究了矩的渐近性质，并进一步逼近了极限仿真的特征函数和误差界。
The queues being studied here are of the type GI/G/k in statistical equilibrium (with traffic intensity less than one). The exponential limiting formula for the waiting time distribution function in heavy traffic, conjectured by Kingman (1965) and established by Köllerström (1974), is extended here. The asymptotic properties of the moments are investigated as well as further approximations for the characteristic function and error bounds for the limiting foemulae.