具有灰色输入率的M/M/1排队系统

摘要

For the M/M/1 queuing model, this paper researches into the uncertainty of its input rate. The gray parameters are introduced into input rate, so the gray input rates are formed, and its basic model is given. Furthermore, the paper studies its gray stationary distribution and gray indicators. Every gray indicator is whitened, and the whitening values are obtained.%针对M/M/1排队模型,对其输入率的不确定性做了研究.在输入率中引入灰参数,产生了灰色输入率,给出了它的基本模型,并研究了其灰平稳分布和各项灰指标.且将各个灰指标进行白化,求出了其白化值.