Open AccessANALYSIS OF PRIORITY QUEUES WITH PENTAGON FUZZY NUMBER
Author(s) -
W. Ritha,
S. Josephine Vinnarasi
Publication year - 2020
Publication title -
international journal of engineering technologies and management research
Language(s) - English
Resource type - Journals
ISSN - 2454-1907
DOI - 10.29121/ijetmr.v5.i4.2018.213
Subject(s) - fuzzy number , queueing theory , fuzzy logic , membership function , queue , computer science , fuzzy set operations , vagueness , pentagon , queue management system , priority queue , fuzzy mathematics , sort , fuzzy set , mathematics , mathematical optimization , artificial intelligence , arithmetic , statistics , geometry , programming language
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.