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

作　　者：王玉[1] 吕胜利[1] 张雷[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《郑州大学学报（理学版）》2012年第3期46-50,共5页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目;编号71071133

摘　　要：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.

关 键 词：多服务台 强占优先权 负顾客 依状态到达 溢出率 

分 类 号：O226[理学—运筹学与控制论]