THE GI/G/1 QUEUE WITH UNIFORMLY LIMITED VIRTUAL WAITING TIMES; THE FINITE DAM

THE GI/G/1 QUEUE WITH UNIFORMLY LIMITED VIRTUAL WAITING TIMES; THE FINITE DAM
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DOI:
10.2307/1426609
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发表时间:
1980-06
影响因子:
1.2
通讯作者:
D. Minh
D. Minh
中科院分区:
数学4区
文献类型:
--
作者:
D. Minh

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本文研究了GI/G/1排队系统,其中顾客停留时间不能超过固定间隔D。这也是有限容量、瞬时供水和恒定释放规则的大坝模型。利用分析方法以及每当到达的客户启动繁忙时段时排队过程概率“重新开始”的特性,我们获得了系统的各种瞬态和稳态结果。
This paper studies the GI/G/1 queueing system in which no customer can stay longer than a fixed interval D. This is also a model for the dam with finite capacity, instantaneous water supply and constant release rule. Using analytical method together with the property that the queueing process 'starts anew' probabilistically whenever an arriving customer initiates a busy period, we obtain various transient and stationary results for the system.