Fuzzy Analysis for the N-Policy Queues with Infinite Capacity

Tsung-Yin Wang ； Dong-Yuh Yang ； Meng-Ju Li

《International Journal of Information and Management Sciences》 21：1 (2010/03) Pp. 41-56

https://doi.org/10.6186/IJIMS.2010.21.1.4

並列摘要

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.

並列關鍵字

Fuzzy Sets ； Infinite Capacity ； Membership Function ； N-Policy ； Nonlinear Programming

參考文獻

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