Sample-path derivations of the excess, age, and spread distributions

Sample-path derivations of the excess, age, and spread distributions
复制标题

过量、年龄和分布分布的样本路径推导

DOI:
10.2307/3214453
复制
发表时间:
1988
影响因子:
1
通讯作者:
R. Wolff
R. Wolff
中科院分区:
数学4区
文献类型:
--
作者:
R. Wolff

文献摘要

被引文献

相似文献

熟悉的极限分布的过剩,年龄和蔓延的样本路径,这些分布是时间的分数。对于剩余服务在队列中的分布,也得到了类似的结果。对于随机过程,其中指定的限制存在的概率为1的有限常数,导出的样本路径的结果表明,这意味着相同的限制分布举行,在随机设置,这些分布可以定义在一个更传统的方式。
The familiar limiting distributions of excess, age, and spread are derived on sample paths, where these distributions are fractions of time. Similar results are obtained for the distribution of remaining service at a queue. For stochastic processes, where specified limits exist as finite constants with probability 1, the derived sample-path results are shown to imply that the same limiting distributions hold, where in a stochastic setting, these distributions may be defined in a more conventional way.