Cost Interpretation Of Fuzzy Queuing Model Using Ranking Based On Statistical Beta Distribution

Document Type : Primary Research paper

Authors

Department of MathematicsHoly Cross College (Autonomous)Affiliated to Bharathidasan UniversityTiruchirappalli – 620 002Tamilnadu, India

Abstract

This paper intends to explore the cost analysis of Multi server fuzzy queuing model with
finite capacity. Ranking methods play a remarkable role in the fuzzy numbers system for
defuzzification. The prime idea is to convert the fuzzy arrival rate and service rate into
crisp values by applying ranking based on the mean value of statistical beta distribution. It
facilitates an algorithm for ranking fuzzy numbers considering the crisp ranking system on
R. The significant measures and the expected total cost of a given fuzzy queuing model are
computed for different number of servers.

Keywords