可变输入率M/M/1模型主算子的谱性质  

The Spectrum Property of Major Operator on the M/M/1 Queueing Model with Variable Import Rate

作　　者：刘宇民[1] 王文霞[1] 原文志[1] 

机构地区：[1]太原师范学院数学系

出　　处：《太原师范学院学报（自然科学版）》2008年第3期23-25,共3页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：文章针对可变输入率的M/M/1排队系统,运用线性算子理论研究模型主算子,推导出0是其代数重数为1的本征值,且相应的正本征向量与系统的经典定态解一致,从而为证明系统时间依赖解的渐近稳定性作了必要的准备.The M/M/1 queueing model with variable import rate has been discussed. Writer investigated major operatorls eigenvalue by using theory of linear operator. Then writer deduced that 0 is an eigenvalue of major operator with algebraic multiplicity one, and the eigenvector coincides with the steady-state solution of the system,which are making preparation for the proof of stability of the time-dependent solution of the system.

关 键 词：M/M/1模型 主算子 谱性质 

分 类 号：O177.29[理学—数学]