A Study on the Service Rates of M/M/s Multi-server Demanding Queues

Multi-server Demanding M/M/s 대기행렬의 Service Rate 변화곡선에 관한 연구

An exact solution technique for M/M/s multi-server demanding queue is introduced, and a general form of the curves representing service rates of the system is presented. As the number of customers in the system increases, the service rate is shown to increase initially, then decrease, and finally converge to a certain value. It is also shown that this phenomenon persists regardless of the numbers of servers and customer types.