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Computational analysis of(MAP_1,MAP_2)/(PH_1,PH_2)/N queues with finite buffer in wireless cellular networks
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作者 Zonghao Zhou Yijun Zhu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第5期739-748,共10页
This paper studies a queueing model with the finite buffer of capacity K in wireless cellular networks, which has two types of arriving calls--handoff and originating calls, both of which follow the Markov arriving pr... This paper studies a queueing model with the finite buffer of capacity K in wireless cellular networks, which has two types of arriving calls--handoff and originating calls, both of which follow the Markov arriving process with different rates. The channel holding times of the two types of calls follow different phase-type distributions. Firstly, the joint distribution of two queue lengths is derived, and then the dropping and blocking probabilities, the mean queue length and the mean waiting time from the joint distribution are gotten. Finally, numerical examples show the impact of different call arrival rates on the performance measures. 展开更多
关键词 wireless cellular network queue markov arriving process (MAP) phase-type (PH) distribution handoff call originating call.
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BMAP的轨道分析和Q过程的伴随MAP 被引量:1
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作者 莫晓云 杨向群 《数学学报(中文版)》 CSCD 北大核心 2018年第1期143-154,共12页
本文用轨道分析方法研究批量Markov到达过程(BMAP),有别于研究BMAP常用的矩阵解析方法.通过BMAP的表现(Dk,k=0,1,2…),得到BMAP的跳跃概率,证明了BMAP的相过程是时间齐次Markov链,求出了相过程的转移概率和密度矩阵.此外... 本文用轨道分析方法研究批量Markov到达过程(BMAP),有别于研究BMAP常用的矩阵解析方法.通过BMAP的表现(Dk,k=0,1,2…),得到BMAP的跳跃概率,证明了BMAP的相过程是时间齐次Markov链,求出了相过程的转移概率和密度矩阵.此外,给定一个带有限状态空间的Q过程J,其跳跃点的计数过程记为N,证明了Q过程J的伴随过程X^*=(N,J)是一个MAP,求出了该MAP的转移概率和表现(D0,D1),它们是通过密度矩阵Q来表述的. 展开更多
关键词 批量markov到达过程(BMAP) markov到达过程(MAP) 轨道分析 Q过程 伴随过程
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