Optimizing Multi-Objective Transportation Problems Using the Lexicographic Method

Author(s)	Rajesh Shrivastava, Surendra Singh Rajput
Country	India
Abstract	This paper addresses the optimization of a Multi-Objective Transportation Problem (MOTP) involving transportation cost, time, and carbon emissions using the Lexicographic Method. The method prioritizes objectives hierarchically, solving the problem step-by-step in decreasing order of importance. Three distinct conditions were evaluated to explore trade-offs between objectives. The results illustrate the method's capability to provide optimized and balanced solutions, allowing decision-makers to prioritize certain objectives without compromising others significantly. The lexicographic approach proves to be efficient, especially in contexts where objective priorities are clearly defined, offering a practical decision-making tool for sustainable and cost-effective logistics planning.
Published In	Volume 7, Issue 3, May-June 2025
Published On	2025-06-15
DOI	https://doi.org/10.36948/ijfmr.2025.v07i03.48113
Short DOI	https://doi.org/g9qqpz

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International Journal For Multidisciplinary Research