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M^(X)/G(Y)/1成批服务系统中等待时间内高峰期顾客人数
引用本文:程晓燕,颜荣芳. M^(X)/G(Y)/1成批服务系统中等待时间内高峰期顾客人数[J]. 甘肃科学学报, 2009, 21(1): 10-12
作者姓名:程晓燕  颜荣芳
作者单位:西北师范大学,数学与信息科学学院,甘肃,兰州,730070
基金项目:甘肃自然科学基金,甘肃省教育厅科研基金,西北师范大学科技创新工程项目 
摘    要:讨论了单个服务员的M^(X)/G(Y)/1排队模型在等待时间内高峰期的顾客人数,基于下模序刻画的随机变量相依程度,得到了M^(X)/G(Y)/1在等待时间内高峰期顾客人数关于等待时间和在此等待时间内到达的顾客人数在减凹序下的单调性.

关 键 词:等待时间  高峰期  顾客人数  下超模序  减凹序

On the Number of Customers of Peak Period During the Waiting Time in the Bulk Queue M(X)/G(Y)/1
CHENG Xiao-yan,YAN Rong-fang. On the Number of Customers of Peak Period During the Waiting Time in the Bulk Queue M(X)/G(Y)/1[J]. Journal of Gansu Sciences, 2009, 21(1): 10-12
Authors:CHENG Xiao-yan  YAN Rong-fang
Affiliation:(College of Mathematics and Information Science, Northwest Normal University ,Lanzhou 730070,China)
Abstract:The number of customers of peak period during the waiting time is discussed in the bulk queue M^(X)/G(Y)/1 Based on the dependency of random variables in the sense of submodular ordering, the mono- tonicity of the number of customers of peak period during the waiting time is obtained, in the sense of decreasing concave ordering , of M^(X)/G(Y)/1 on the dependency between the waiting time and the number of customers who come during the period.
Keywords:waiting time  peak period  the number of customers  submodular order  decreasing concaveorder
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