Modelling of Multi-Objective Transshipment Problem with Fuzzy Goal Programming

Abstract

The purpose of the transportation problem is trying to find the best route to meet the demands by using the supply points with capacity. While the Transportation problem only allowed products to be conveyed directly from the supply centers to demand centers, problem of transshipment transfer centers are also used. Linear programming methods can be used to solve the transportation problems. However, in the presence of numerical targets to achieve; Goal programming method is used instead of Linear Programming. Goal programming is a method applied to linear programming problems with a large number of goals and objectives. On the contrary to linear programming methods which is optimizing an objective; goal programming, used to deliver results for conflicting objectives by minimizing the deviation between objective values and the realized results. Fuzzy Goal Programming approach is used to solve problems if the exact value is not measured for the objectives and constraints. The purpose of this article is to put forth that the fuzzy goal programming which we can accept as one of the best decision-making models that can be used under the fuzzy and reveal the solution, can be used for the modeling of a transshipment problem.