测度值随机递归与队列的稳定性
概率论
2010-09-08 v2
摘要
在本文中，我们给出了有限测度值随机递归的稳定性判据，将 Loynes 定理推广到了测度空间。该结果为无限服务器队列和单服务器 SRPT 队列达到“全平稳态”提供了条件。实际上，我们在两种情形下都给出了表征排队系统的测度值递归序列平稳分布存在的条件，从而穷尽地刻画了该排队系统。
引用
@article{arxiv.0706.0817,
title = {Measure-valued stochastic recurrences and the stability of queues},
author = {Pascal Moyal},
journal= {arXiv preprint arXiv:0706.0817},
year = {2010}
}
备注
This paper has been withdrawn by the author. This paper has been published in a newer version, arXiv:0803.2459