Performance Analysis for a System of Connection Oriented Internet Service with a Release Delay
Performance Analysis for a System of Connection Oriented Internet Service with a Release Delay
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DOI：
10.1093/ietcom/e90-b.11.3083
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发表时间：
2007-11
期刊：
影响因子：
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通讯作者：
Shunfu Jin;Wuyi Yue
中科院分区：
文献类型：
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作者：
Shunfu Jin;Wuyi Yue
在本文中，我们提出了使用离散时间连接面向Internet服务系统的宽带，高速，高容量和高可靠性的互联网要求的释放延迟。释放延迟称为close-delay，在连接的释放过程之前设置。被称为定时器长度的上限长度T被设置为闭合延迟时段的系统参数。我们建立了一个具有设置/关闭延迟/关闭策略的批量到达Geom*/G/1队列模型来描述系统运行。利用离散时间嵌入马尔可夫链方法，导出了系统的平稳分布，给出了队长、等待时间、忙碌期和忙碌周期的概率母函数公式。相应地，我们描述的数据包响应时间，建立率和实用程序的连接的性能指标。我们还开发了一个成本模型，以确定最佳定时器长度和其预期的最佳成本。基于数值计算结果，讨论了闭合延时定时器长度对系统性能的影响，研究了不同负载和不同突发度下的最小定时器长度和最小开销，表明定时器长度的选择对提高系统性能具有重要意义。
In this paper, we propose the use of a discrete-time connection oriented Internet service system with a release delay for broadband, high-speed, high-capacity and high-reliability Internet requirements. The release delay called close-delay is set before the release process of a connection. An upper limit length T called timer length is set as a system parameter for the close-delay period. We build a batch arrival Geom*/G/1 queue model with a setup/close-delay/close-down strategy to characterize the system operation. By using a discrete-time imbedded Markov chain approach, we derive the stationary distribution of the system, and present the formula for Probability Generation Functions of the queue length, waiting time, busy period and busy cycle. Correspondingly, we describe the performance measures for the packet response time, setup ratio, and utility of connection. We also develop a cost model to determine the optimal timer length and its expected optimal cost. Based on numerical results, we discuss the influence of the timer length for the close-delay period on the system performance and investigate the minimum timer length and the minimum cost for different offered loads and different burst degrees, and show that the choice of the timer length is significant in improving the system performance.