首页 | 本学科首页   官方微博 | 高级检索  
     


A queueing system with multiple service time distributions
Authors:Carl M. Harris
Abstract:This paper explores a modification of the output discipline for the Poisson input, exponential output, single channel, first-come, first-served queueing system. Instead, the service time distribution of customers beginning service when alone in the system is considered different from that governing service times of all other customers. More specifically, the service times of lone customers are governed by a one parameter gamma distribution, while the service times of all other customers are exponentially ajstributed. The generating function for the steady-state probsbilities, nj = Pr { j customers in system at an arbitrary point of departure}, of the imbedded chain, {Xn/Xn = number in system after nth customer is serviced}, is obtained, and the steady-state probabilities, themselves, are found in closed form.
Keywords:
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号