Open AccessAn Interpretation of Non-Preemptive Priority Fuzzy Queuing Model with Asymmetrical Service Rates
Author(s) -
Usha Prameela Karupothu,
Richard Wurmbrand,
R P S Jayakar
Publication year - 2021
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v17i4.3878
Subject(s) - ranking (information retrieval) , queueing theory , fuzzy logic , interpretation (philosophy) , service (business) , computer science , mathematics , data mining , mathematical optimization , operations research , statistics , artificial intelligence , economy , economics , programming language
This paper presents Non-Preemptive priority fuzzy queuing model with asymmetrical service rates. Arrival rate and service rate are taken to be hexagonal, heptagonal, and octagonal fuzzy numbers. Here an interpretation is given to determine the performance measures by applying a new ranking technique through which the fuzzy values are reduced to the crisp values. This ranking technique has the benefit of being precise and relevant compared to other methods such as alpha-cut method and LR method. The main intention is to evaluate the fuzziness before the performance measures are processed by utilizing the regular queueing hypothesis. Three numerical examples are exhibited to show the validity implementation of the methodology.