Queues in Which Customers Receive Simultaneous Service from a Random Number of Servers: A System Point Approach
研究顾客到达服从泊松分布、服务时间呈指数分布的多服务器排队系统,其中每个顾客需要随机数量的服务器同时服务。采用系统点方法推导各类顾客的等待时间分布,并给出两服务器系统的显式解。
We examine a multi-server queueing system with Poisson arrivals in which customers require simultaneous service from a random number of servers. Servers assigned to the same customer begin and end service concurrently. Service times are, in general, assumed to be exponentially distributed. A system point approach is presented as a framework for obtaining the waiting time distribution for each customer type. Explicit solutions are derived for the two-server system.