Abstract
This paper investigates the N-policy queues with infinite capacity by using the fuzzy set theory. We propose a mathematical programming approach to develop the membership function of the system performance, in which the arrival rate and the service rate are defined as fuzzy numbers. Based upon the α-cut approach and Zadeh's extension principle, the fuzzy queues are transformed to a family of crisp queues. Furthermore, we provide a real-word example to illustrate how the proposed approach can be applied to analyze the fuzzy N-policy queues. Extending this model to the fuzzy environment, it would be helpful for the decision maker to calculate the desirable system performance according to the satisfaction level.
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