具有可变输入率M/M/n排队模型的适定性及稳定性
Dynamic Solution and Asymptotic Stability on the M/M/n Queueing Model with Variable Import Rate
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摘要: 讨论动态具有可变输入率的M/M/n排队模型,运用算子半群理论证明该模型动态正解的存在唯一性,并进一步表明0是系统的一个本征值,相应的本征函数为系统的一个定态正解,系统的动态正解强渐近稳定到定态解.Abstract: The dynamic M/M/n queueing model with variable import rate is discussed using the C0-semigroup theory,the existence of an unique dynamic positive solution of M/M/n queueing model with variable import rate is given.Further 0 is an eigenvalue of the system,the eigenvector of the system corresponding to 0 is positive,and the dynamic positive solution converges to its static solution.
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