Article ID: | iaor19992895 |
Country: | United States |
Volume: | 24 |
Issue: | 1/4 |
Start Page Number: | 23 |
End Page Number: | 36 |
Publication Date: | Feb 1996 |
Journal: | Queueing Systems |
Authors: | Yang Ping, Zhu Yixin, Li Huan, Madhavapeddy Seshu |
Keywords: | M/M/1 queues |
This paper discusses a class of M/M/1 queueing models in which the service time of a customer depends on the number of customers served in the current busy period. It is particularly suited for applications in which the server has some kind of learning ability and warms up gradually. We present a simple and computational tractable scheme which recursively determines the stationary probabilities of the queue length. Other performance measures such as the Laplace transform of the busy period are also obtained. For the first