非等待顾客接受专门服务的双服务器队列

A Two Server Queue with Nonwaiting Customers Receiving Specialized Service

Management Science · 1981
被引 14
人大 A+FT50UTD24ABS 4*

中文导读

研究一种M/M/2队列变体,其中不等待的顾客与需排队的顾客接受不同速率的服务,给出了等待时间和系统人数的稳态分布,并推广到任意有限服务器,对排队论和运营管理有参考价值。

Abstract

The stationary distributions of the waiting time and number in the system are obtained for a variant of an M/M/2 queue in which non-waiting customers receive a different rate of service from those who must wait in line. Characteristics of the solution, and applications of the model are discussed. The solution has also been generalized to any finite number of servers, using the same technique. The analysis utilizes the new System Point (SP) method for analyzing queues. This method employs the relationship between virtual waiting time sample function down- and up-crossings of a level, and the probability density function of the virtual wait at that level. Brief outlines of the SP approach, and relevant theory are included.

队列非等待顾客差异化服务率系统点方法