输入率可变、反馈的、且有负顾客的优先排队模型  

Queue Model with variable Input,Feedback,Priority and Negative Customers

作　　者：潘全如[1] 

机构地区：[1]江苏科技大学数理学院,江苏镇江212003

出　　处：《数学的实践与认识》2012年第24期156-166,共11页Mathematics in Practice and Theory

摘　　要：针对实际应用中存在输入率可变、因服务出差错而导致顾客需要重新排队接受服务以及不同的顾客类需要不同的服务质量等现状,建立了输入率可变、有反馈及负顾客的、服务时间服从一般分布优先排队模型.得出了"强占优先"与"非强占优先"两种服务规则下,系统中每一类顾客的队长、等待时间、逗留时间的平稳分布均存在,并求出了每一类顾客的队长、等待时间、逗留时间及他们的L-S变换,忙期等指标,最后还指出了模型在应用中的注意事项及要进一步解决的问题.Due to the queue phenomenon with variable input rate, re-queuing for errors in service and different customer needing different service quality, a priority model with variable input rate, feedback and negative customers is established in this paper. Two service rules with preemptive priority and non-preemptive are discussed, and the following conclusions are drawn： the staying time in system, the waiting time in system, the queue length and the length of customers who are waiting in system and their L-S transform, busy period etc. At last, this paper points out the matters needing attention and the problems to be solved.

关 键 词：可变输入率 反馈 优先 一般分布 

分 类 号：O226[理学—运筹学与控制论]