赖裕平, 赵东风, 丁洪伟, 王明贵. m级门限服务轮询系统队长特性分析[J]. 云南大学学报(自然科学版), 2010, 32(6): 657-660 .
引用本文: 赖裕平, 赵东风, 丁洪伟, 王明贵. m级门限服务轮询系统队长特性分析[J]. 云南大学学报(自然科学版), 2010, 32(6): 657-660 .
LAI Yu-ping, ZHAO Dong-feng, DING Hong-wei, WANG Ming-gui. Analysis of queue length characteristic in polling systems with m-gated service[J]. Journal of Yunnan University: Natural Sciences Edition, 2010, 32(6): 657-660 .
Citation: LAI Yu-ping, ZHAO Dong-feng, DING Hong-wei, WANG Ming-gui. Analysis of queue length characteristic in polling systems with m-gated service[J]. Journal of Yunnan University: Natural Sciences Edition, 2010, 32(6): 657-660 .

m级门限服务轮询系统队长特性分析

Analysis of queue length characteristic in polling systems with m-gated service

  • 摘要: 提出了m级门限服务轮询系统,采用嵌入式马尔可夫链理论和多维概率母函数的分析方法对该轮询系统进行了解析,分析了离散时间状态下的m级门限服务轮询系统的平均排队长和平均循环周期特性,并将结果与经典的门限服务轮询系统和完全服务轮询系统的性能进行了对比分析,给出了有意义的关系式.

     

    Abstract: A polling system with m-gated is presented.With the imbedded Markov chain theory and multiple probability generation function,we analyze the system in detail.The expressions of mean system queue length and cycle time are obtained in discrete.Moreover,compared with the performance of the classical gated and exhaustive polling system,we obtain some helpful conclusions.

     

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