Acta mathematica scientia,Series A
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Li Xiaohua;Hou Zhenting
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Abstract: In this paper, the authors study $E_k/G/1$ queueing system via drift criterion and petite set. The sufficient and necessary conditions of Harris ergodicity, $l$-ergodicity and geometric ergodicity of queue length $L(t)$ are obtained, and the authors prove that it is not uniformly ergodicity.
Key words: Queueing system, Small set, Ergodicity, Petite set
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Li Xiaohua;Hou Zhenting. Ergodicity of Ek/G/1 Queueing System[J].Acta mathematica scientia,Series A, 2008, 28(2): 359-366.
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URL: http://actams.apm.ac.cn/sxwlxbA/EN/
http://actams.apm.ac.cn/sxwlxbA/EN/Y2008/V28/I2/359
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