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数学与物理
理论数学
Vol. 9 No. 9 (November 2019)
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G
t
/ H
2
*
/ s
t
+GI队列模型等待时间的高负荷极限
Heavy-Traffic Limits for Waiting Times in the G
t
/ H
2
*
/ s
t
+GI Queuing Model
DOI:
10.12677/PM.2019.99134
,
PDF
,
被引量
作者:
牛 鑫
,
刘建民
,
王青青
:长安大学理学院,陕西 西安
关键词:
随时间变化
;
等待时间
;
忙期间隔
;
高负荷极限
;
胎紧性
;
Time-Varying
;
Waiting Time
;
Busy Interval
;
Heavy-Traffic Limit
;
Tightness
摘要:
考虑的队列模型为具有随时间变化的到达率和服务台个数,服从H
2
*
服务时间分布,顾客放弃服从一般的概率分布。通过分析G
t
/ H
2
*
/ s
t
+GI队列模型的一个序列,对队首等待时间进行表示,建立队首等待时间的泛函弱大数定律,并给出证明。
Abstract:
This article considered the queuing model, having time-varying arrival rate and staffing, H
2
*
ser-vice times and customer abandonment according to a general probability distribution, analyzed a sequence of G
t
/ H
2
*
/ s
t
+GI queue model, expressed the head of line (HOL) waiting time and ob-tained the Functional weak law of large numbers of HOL waiting time, and proved it.
文章引用:
牛鑫, 刘建民, 王青青. G
t
/ H
2
*
/ s
t
+GI队列模型等待时间的高负荷极限[J]. 理论数学, 2019, 9(9): 1094-1101.
https://doi.org/10.12677/PM.2019.99134
参考文献
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