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Stability of Switched Server Systems with Constraints on Service-Time and Capacity of Buffers

机译：交换服务器系统的稳定性受到服务时间和缓冲区容量的限制

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摘要

The execution of emptying policy ensures the convergence of any solution to the system to a unique periodic orbit, which does not impose constraints on service-time and capacity of buffers. Motivated by these problems, in this paper, the service-time-limited policy is first proposed based on the information resulted from the periodic orbit under emptying policy, which imposes lower and upper bounds on emptying time for the queue in each buffer, by introducing lower-limit and upper-limit service-time factors. Furthermore, the execution of service-time-limited policy in the case of finite buffer capacity is considered. Moreover, the notion of feasibility of states under service-time-limited policy is introduced and then the checking condition for feasibility of states is given; that is, the solution does not exceed the buffer capacity within the first cycle of the server. At last, a sufficient condition for determining upper-limit service-time factors ensuring that the given state is feasible is given.
机译：清空策略的执行可确保将系统的所有解决方案收敛到唯一的周期性轨道，而不会对服务时间和缓冲区容量施加限制。受这些问题的影响，本文首先基于清空策略下周期性轨道产生的信息，提出了服务时间限制策略，该策略通过引入每个缓冲区的队列的清空时间上限和下限下限和上限服务时间因子。此外，考虑了在有限缓冲区容量的情况下执行服务时间限制策略。此外，还介绍了服务限时政策下国家可行性的概念，并给出了国家可行性检查条件。也就是说，该解决方案在服务器的第一个周期内不会超过缓冲区容量。最后，给出了确定上限服务时间因子的充分条件，以确保给定状态可行。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第11期|347931.1-347931.10|共10页
  • 作者

    Wang Li; He Zhonghe; Zhang Chi;

  • 作者单位

    North China Univ Technol, Beijing Key Lab Urban Intelligent Traff Control T, Beijing 100144, Peoples R China.;

    North China Univ Technol, Beijing Key Lab Urban Intelligent Traff Control T, Beijing 100144, Peoples R China.;

    North China Univ Technol, Beijing Key Lab Urban Intelligent Traff Control T, Beijing 100144, Peoples R China.;

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