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A Note on the M/M/1 Queueing Model Described by Ordinary Differential Equations

GUPUR Geni, LI Xue-zhi (Department of Mathematics, Xinjiang University, Urumqi 830046, China Department of Mathematics, Xinyang Teachers College, Henan 464000, China Institute of Systems Science, Academia Sinica, Beijing 100080, China)  
In this paper, we discuss the dynamic M/M/1 queueing model. By using the C_0-semigroup theory we prove the existence of a unique positive solution and study the spectral properties of the corresponding operator.
【Fund】: 国家自然科学基金;; 河南省自然科学基金
【CateGory Index】: O175
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