正、负顾客依状态到达的M/M/m/(k-m)优先权排队系统

M/M/m/(k-m) Preemptive Priority Queuing System with Positive and Negative Customers Arriving According to State

研究了具有2类顾客的多服务台排队系统,2类顾客共用一个容量为(k-m)的等待空间.其中第1类顾客具有强占优先权,第2类顾客分正顾客和负顾客2种,正、负顾客依状态到达,且负顾客不接受服务,负顾客到达系统后一对一抵消排在队尾的第2类正顾客.利用矩阵分析理论得到2类顾客的平均队长和溢出率.

A multi-server queuing system with two classes of customers was studied.The two classes of customers shared a limited buffer of（k-m）.The class-1 customers had the preemptive priority,while the class-2 included positive and negative customers,and both arrived in accordance with the state.The negative customers would not be served and would remove the class-2 positive customers one by one at the tail.By using matrix analysis theory,the average queuing length and the loss rate of the two classes were obtained separately.