M/G/1重试排队系统的渐近稳定性  

Asymptotic Stability of M/G/1 Retrial System

作　　者：高超[1,2] 朱广田[3] 

机构地区：[1]北京信息控制研究所,北京100037 [2]大连工业大学信息科学与工程学院,辽宁大连116034 [3]中国科学院数学与系统科学研究院,北京100190

出　　处：《数学的实践与认识》2014年第17期163-169,共7页Mathematics in Practice and Theory

摘　　要：用算子半群理论研究了带有重试排队的M/G/1系统.通过解算子方程和预解方程,证明了0是系统算子的本征值,且为虚轴上唯一的谱点.从而得出了当时间趋于无穷时系统时间依赖解收敛于稳态解的结论.In this paper, the M/G/1 retrial system is studied by Semigrow theory of operator. By solving operator equation and resolvent equation, it is verified that 0 is aa eigenvalue of the system operator and is the only spectral point of the system operator. As a result, the time-dependent solution converges to the steady-state solution as time approaches infinity.

关 键 词：M/G/1重试排队系统 虚轴 谱分布 渐近稳定性 

分 类 号：O226[理学—运筹学与控制论]