FM/FEk /1 queuing model with erlang service under various types of fuzzy numbers

Abstract

In this paper we tend to initiate a strategy to determine the membership functions of substantial state execution proportions in Erlang service model utilizing α cut and DSW (Dong, Shah & Wong) algorithmic rule with Hexagonal, Heptagonal and octagonal fuzzy numbers. Here the inter-entry rate that is poisson and administration rate that is Erlang are Fuzzy natured, where FEk indicates erlang probability dispersion with k exponential number of stages. The numerical precedents are illustrated to check the achievability of the model, FM/FEk/ 1.A relative investigation comparing to individual fuzzy numbers is additionally accomplished for various estimations of α.