ANALYSIS OF PRIORITY QUEUES WITH PENTAGON FUZZY NUMBER

  • W. Ritha Department of Mathematics, Holy Cross College (Autonomous), Tiruchirappalli -2, Tamil Nadu, India
  • S. Josephine Vinnarasi Department of Mathematics, Holy Cross College (Autonomous), Tiruchirappalli -2, Tamil Nadu, India
Keywords: Fuzzy Sets, Membership Functions, Priority Queues, Mathematical Programming, Pentagon and Trapezoidal Fuzzy Numbers, Performance Measures

Abstract

Fuzziness is a sort of recent incoherence. Fuzzy set theory is asserted to depict vagueness. This study explores the queuing model of priority classes adopting pentagon fuzzy number with the inclusions of fuzzy set operations. A mathematical programming method is designed to establish the membership function of the system performance, in which the arrival rate and service rate of the system performance of two priority classes are utilized as fuzzy numbers. Based on  -cut approach and Zadeh’s extension principle, the fuzzy queues are scaled down to a family of ordinary queues. The potency of the performance measures of the characteristics of the queuing model is ensured with an illustration and its graph.

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Published
2018-04-30
How to Cite
Ritha, W., & Vinnarasi, S. J. (2018). ANALYSIS OF PRIORITY QUEUES WITH PENTAGON FUZZY NUMBER . International Journal of Engineering Technologies and Management Research, 5(4), 90-100. https://doi.org/10.29121/ijetmr.v5.i4.2018.213