Evaluation Of Performance Measures Of M/M/C Queue With Synchronous Vacation For Some Servers Using Pentagonal Fuzzy Number

Document Type : Primary Research paper


PG & Research Department of Mathematics, Bishop Heber College, Tiruchirappalli-17, Tamil Nadu, India.


This paper analyzes a multi-server (M/M/C) queue with synchronous vacation
policy in fuzzy. Approximate method of extension namely DSW algorithm is used to define
membership functions of the performance measures. It is based on the α-cut
representation of fuzzy sets in a standard interval
suressuch as fuzzy expected number of customers in queue, fuzzy expected waiting time of
a customer in queue have been obtained. Numerical example is illustrated to test the
feasibility of themodel.