Fuzzy control of a tandem queueing network without service cost for two types of customers

This paper considers a two-stage tandem queueing network 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 minimise 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.