A TOPSIS-Integrated Approach for Fixed Charge Multi-Objective Transportation Problems with Interval Goals

Abstract

This study addresses the complexities of Fixed Charge Multi-Objective Transportation Problems (FCMOTPs) where both fixed and variable transportation costs must be minimized while balancing multiple conflicting objectives under uncertainty. The proposed model enhances optimization planning by managing uncertainties and aligning solutions with Decision Maker (DM) priorities. And weight assignment technique is introduced, allowing DMs to prioritize objectives based on their preferences, leading to diverse Pareto-optimal solutions. Utilizing the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) methodology, the proposed research demonstrates that DMs derive significant benefits from the proposed model. A novel numerical example is developed to demonstrate the applicability of the proposed model, which is solved using LINGO 18 optimization software.