Pendekatan Fuzzy Goal Programming dalam menentukan solusi optimum persoalan Multi-Objective Transportation Problem dengan adanya skala prioritas

Abstract

This research discusses the development of a fuzzy goal programming model for solving multi-objective transportation problems, which is an expansion of ordinary transportation problems. In this problem, there are non-linear constraints in the form of fuzzy trapezoidal demand and supply values. Subsequently, linearization is performed on these non-linear constraints through the definition and formation of additional constraints. The fuzzy goal programming method is used to solve and determine the optimal solution for the multi-objective transportation problem. The objective of ACE Furniture Company in this research is to minimize distribution costs while ensuring that the costs remain within a specific interval.The application of the goal programming model to the problem of ACE Furniture Company, using fuzzy trapezoidal membership functions, resulted in λ = 1 obtained through the implementation of LINGO. From the output obtained from LINGO, it can be concluded that a distribution cost of Rp 634,000 is required, which falls within the desired range, and a total of 37,000 tons of raw wood per year needs to be supplied to the target company.