Online ISSN: 2515-8260

Keywords : Pentagon fuzzy number


ANALYZATION OF A FUZZY QUEUING MODEL WITH FLEXIBLE SERVICE POLICY USING PARAMETRIC PROGRAMMING APPROACH

W. Ritha and P. Yasodai

European Journal of Molecular & Clinical Medicine, 2021, Volume 8, Issue 4, Pages 630-637

Fuzziness is a type of new incoherence. The fuzzy set theory is said to depict
ambiguity.Fuzzy queuing model with flexible service policy is being investigated in this
work. A parametric programming technique is designed to find the membership functions
of queue length and sojourn time in steady state, in which the arrival rate and service rate
are being pentagon fuzzy numbers. Based on  -cut approach and Zadeh’s extension
principle, the fuzzy queues are transformed into family of crisp queues. The model’s
potency is calculated for various possibilities of -cuts.