在无服务费用的串联排队网络中对两组不同到达顾客的模糊控制

Fuzzy Control of a Tandem Queueing Network Without Service Cost for Two Types of Customers

研究一个二阶串联排队网络 ,每一阶有一个服务时间服从负指数分布的服务器和具有无限容量的顾客等待空间 .有两类顾客按泊松流到达系统 ,第一类顾客只需接受第一个服务器的服务 ,第二类顾客需要按顺序接受两个服务器的服务 .系统中的费用与顾客排队的长度相关 .系统的控制目标是根据系统的状态动态地在第一阶等待的顾客中选定接受服务的顾客的种类和确定第一个服务器的服务速度以保证系统的平均费用最低 .这个控制模型可以应用在通讯系统、生产系统中的Jobshop及交通系统的流量控制中 .文中给出一个模糊控制的新方法用以解决这个问题 .

This paper considers a two stage tandem queueing networks for two types of customers. Type 1 customers visit stage 1 only while type 2 customers visit both stages in sequence. Each stage has a single server and unlimited buffer capacity. The cost depends on the queue length. The objective is to dynamically route customers of both types to stage 1 and choose the service rate, based on the state of the system, so as to minimize the average cost over an infinite horizon. This model can be applied to flow control of communication, job shop and traffic systems. We use fuzzy control to solve this complex problem. Simulation shows that the approach is efficient and promising.