General Service Time Distribution of Fuzzy Queue Using Parametric Non - Linear Programming

Abstract

In this Paper we propose a mathematical programming technique to find the membership functions of the performance measures of a fuzzy single server queue in steady state. The closed form of the steady state solution of M/G/1 queue is used in coordination with the parametric non - linear programming approach and the formulae for FM/FG/1 fuzzy queue are derived. An effective algorithm is found to determine the optimum solution for various possibilities of a. Numerical examples have been shown for understanding the solution procedure. Sensitivity for standard deviation equal to zero is done as a special case.