arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1004.4973math.PR
收藏

随机环境中带移民的多型分枝过程与轮询系统

Multitype branching processes with immigration in random environment and polling systems

Vladimir Vatutin

摘要:

对于在随机环境中演化并产生最终产物的带移民的多型分支过程,我们发现了在系统中积累的最终产物的大小的尾分布。利用这个结果,我们研究了具有随机服务规则和随机正切换时间的分支型轮询系统的忙期的尾部分布

英文摘要:

For multitype branching processes with immigration evolving in a random environment and producing a final product we find the tail distribution of the size of the final product accumulated in the system for a life period. Using this result we investigate the tail distribution of the busy periods of the branching type polling systems with random service disciplines and random positive switch-over times

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑