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A single server fuzzy queues with priority and unequal service rates

Author

Listed:
  • Zeina Mueen
  • Razamin Ramli
  • Nerda Zura Zaibidi

Abstract

This article presents to develop a new mathematical model to construct membership functions of the fuzzy single channel queueing model F(M1, M2)/F(M1, M2)/1/PR-NP with two class of non-preemptive priority with unequal service rates. The main idea of this article is to merge between mathematical programming technique and Yager's ranking method by using α-cut approach and Zadeh extension principle to transform fuzzy queues into a family of conventional crisp (distinct) queues in this context. A numerical example is given to explain the validity of this new approach to obtain real exact values under different levels of α in the system.

Suggested Citation

  • Zeina Mueen & Razamin Ramli & Nerda Zura Zaibidi, 2017. "A single server fuzzy queues with priority and unequal service rates," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 11(3), pages 422-434.
    • Handle: RePEc:ids:ijmore:v:11:y:2017:i:3:p:422-434
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