一类输入率可变的M/M/1排队系统研究

Study of an M/M/1 Queuing System with a Variable Input Rate

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.

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.