| 一类输入率可变的M/M/1排队系统研究 |
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| 引用本文： | 任小飞.一类输入率可变的M/M/1排队系统研究[J].内江师范学院学报,2010,25(10):35-36. |
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| 作者姓名： | 任小飞 |
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| 作者单位： | 重庆师范大学数学学院,重庆400047 |
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| 摘 要： | 讨论了顾客以αk=k＋11＋k=k＋1-k的概率进入系统接受服务的M/M/1可变输入率的排队模型,证明其平稳分布存在,并计算得到了平均等待队长,系统的平均队长,系统的损失概率,顾客进入系统并接受服务的概率等一系列指标.
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| 关 键 词： | 可变输入率 M/M/1 等待时间 平稳分布 |
Study of an M /M /1 Queuing System with a Variable Input Rate |
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| REN Xiao-fei.Study of an M /M /1 Queuing System with a Variable Input Rate[J].Journal of Neijiang Teachers College,2010,25(10):35-36. |
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| Authors: | REN Xiao-fei |
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| Institution: | REN Xiao-fei(College of Mathematics,Chongqing Normal University,Chongqing 400047,China) |
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| Abstract: | The queuing model with an M/M/1 variable input rate is put under examination when the customer accesses the system and uses the service at the probability of 1k＋1＋k=k＋1k.The result proves the existence of stationary distribution in such a system,and by way of calculation,indices like the average waiting queue length,average queue length of the system,the system loss probability,the probability of a customer＇s access and use of the service,are all worked out. |
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| Keywords: | variable input rate M/M/1 waiting time stationary distribution |
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