Fuzzy assignment of customers for a parallel queueing system with two heterogeneous servers

We consider a queueing system with two parallel heterogeneous servers. Each exponential server has its own queue and customers arrive at each queue according to independent Poisson processes. When a customer arrives at queue 1, the customer can be transferred to queue 2 by paying an assignment cost. Each customer in queue pays a holding cost per unit time. The objective is to dynamically determine the optimal assignment policy, based on the state of the system, so as to minimize the average cost. In this paper, a novel approach is presented using fuzzy control to solve the problem. Simulation shows that the approach is efficient and promising.