带有止步和中途退出的优先权排队系统

研究了一个带有止步和中途退出的优先权排队系统,其中系统中有两类顾客,第一类顾客具有优先权,而且可能中途退出,第二类顾客可能止步和中途退出.首先,建立了系统稳态概率满足的方程组.其次,采用分块矩阵的方法得到了两类顾客的稳态分布,并且得到了系统中两类顾客的的平均队长、平均中途退出率等性能指标.最后,进行了相应的性能分析与比较,为系统的优化设计提供了参考.

A Priority Queuing System with Balking and Reneging

We studied a priority queue with balking and reneging,where there are two-class customers.The class-1 customers have priority and reneging,and the class-2 customers have balking and reneging.First,we obtained the steady-state probability equations.Then we derived the steady-state probability distribution of the two-class customers by using block matrix solution method.Some performance measures of the system,such as the expected number of customers in the system,the average rate of the customer reneging,were obtained.Finally,the performance was analyzed by numerical examples,which provides a basis for optimal design.