带负顾客的M/G/1重试可修排队系统

M/G/1 Retrial Queuing System with Negative Customers and Repairs

基于互联通讯网性能研究的需要,提出了带负顾客的M/G/1重试可修排队系统;其中负顾客的机制是带走正在接受服务的正顾客和使得服务器处于修理状态;在假定重试区域中只有队首的顾客允许重试的情况下,重试时间具有一般分布时,得到了系统稳态的充分必要条件;求得了系统稳态时队长和重试区域中队长分布及一些排队指标和可靠性指标。

Based on the demand of internet communication performance, this paper proposes M/G/1 retrtat queuing system with negative customers and repairs, in which the mechanism of negative customers is to take away the positive customers who are enjoying service and to make the server stay in repair state, in the supposed retrial region, under the condition that only the customers at the queuing head are allowed to conduct retrial, if retrial time has general distribution, the sufficient and necessary condition for the system stability is obtained, the queuing length in the stable state of the system, the distribution of queuing length in retrial regions, some queuing indexes and reliability indexes are received.