在一个二阶排队网络中对两类不同顾客的模糊控制

研究一个二阶的串联排队网络 ,其中第一阶有一个服务员 ,第二阶有两个并联服务员 ,每个服务员都有其自己的具有无限存储空间的排队队列 .在第一阶的存储空间中包含有足够多的两类顾客 .两类不同的顾客需要首先在第一阶的服务员上接受服务然后按顺序先后进入第二阶分别排在和两类顾客相对应的服务员前 .不管什么时侯只要第一阶的服务员服务完一个顾客 ,系统就得到一个收益 ,与此同时 ,每个在第二阶排队中的顾客都需要付一笔占位费 .系统的控制目标是根据系统的状态动态地选择在第一阶中下一个被服务的顾客的种类 ,以保证系统在一个无限长的时间里平均收益最大 .这个控制模型可以应用在生产和通讯网络中 .在这篇论文里 ,一个模糊控制的新方法被提出用以解决这个复杂问题 .计算机模拟的结果显示这种新方法是非常有效并极富研究潜力的 .

Fuzzy Control of a Two-Stage Queueing Network with Two Classes of Customers

This paper considers a two\|stage queueing network where the first stage with one server and the second stage with two servers each of whom has its infinite queue. Two classes of customers are first served at the first stage server and subsequently proceed to the queue at the server corresponding to their classes in the second stage. A reward is earned whenever the server at the first stage completes a customer and a holding cost is incurred by a customer in the queue in the second stage. The objective is to dynamically select the class of customer to be next served at the first stage, based on the state of the system, so as to maximize the average benefit over an infinite horizon. This is a complex problem and we use fuzzy control to solve it. Simulation shows that the approach is efficient and promising.