• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International journal of stochastic analysis >Sample-path stability conditions for multiserver input-output processes
【24h】

Sample-path stability conditions for multiserver input-output processes

机译：多服务器输入输出过程的样本路径稳定性条件

获取原文
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

We extend our studies of sample-path stability to multiserver input-output processes with conditional output rates that may depend on the state of the system and other auxiliary processes. Our results include processes with countable as well as uncountable state spaces. We establish rate stability conditions for busy period durations as well as the input during busy periods. In addition, stability conditions for multiserver queues with possibly heterogeneous servers are given for the workload, attained service, and queue length processes. The stability conditions can be checked from parameters of primary processes, and thus can be verified apriori. Under the rate stability conditions, we provide stable versions of Little's formula for single server as well as multiserver queues. Our approach leads to extensions of previously known results. Since our results are valid pathwise, non-stationary as well as stationary processes are covered.
机译：我们将对样本路径稳定性的研究扩展到具有条件输出率的多服务器输入输出过程，该输出率可能取决于系统状态和其他辅助过程。我们的结果包括具有可数状态空间和不可数状态空间的过程。我们建立繁忙时段持续时间的速率稳定条件以及繁忙时段的输入。此外，还针对工作负载，获得的服务和队列长度过程，给出了可能具有异构服务器的多服务器队列的稳定性条件。可以从一级过程的参数检查稳定性条件，因此可以先验验证。在速率稳定条件下，我们为单服务器和多服务器队列提供Little公式的稳定版本。我们的方法导致了以前已知结果的扩展。由于我们的结果在路径上是有效的，因此涵盖了非平稳过程和平稳过程。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号