摘要
利用非负矩阵理论提出了一个多源竞争共享带宽的网络模型.研究发现,满足模型假设的网络通常都有一个唯一的、全局指数收敛的稳态点.利用这个模型,分析了全局网络收敛到稳态点的收敛速度和稳定性.
We present a simple model of a network of sources competing for a shared bandwidth based on nonnegative matrices theory. We show that networks satisfying our assumptions always have a unique, globally exponentially stable stationary point. Using this model, the rate of convergence of the global network to its stationary point and stability are determined.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第6期275-278,共4页
Mathematics in Practice and Theory
基金
国家"863"计划青年基金(2002AA717019)
关键词
拥塞控制
非负矩阵理论
AIMD
congestion control, nonnegative matrices theory, AIMD