Optimal Solution of a Multi-Objective Transportation Problem Using Chandrasen and Simplex Methods

Author(s)	Mr. Surendra Singh Rajput, Mr. Rajesh Srivastava, Ms. Anita Mandloi, Ms. Jyoti Panthi
Country	India
Abstract	This research addresses a multi-objective transportation problem involving three supply centers and four demand warehouses. The study formulates the problem as a multi-objective linear programming model and solves individual objective functions using the simplex Method. To achieve a single optimal solution, Chandra Sen's Method is applied to convert the multi-objective model into a single-objective framework, which is again solved using the simplex Method. The proposed methodology ensures balanced trade-offs among competing objectives, providing a systematic decision-making framework. Results demonstrate the effectiveness of integrating Chandra Sen's Method with the simplex Method for achieving optimal transportation plans under multiple objectives.
Keywords	Multi-Objective Transportation Problem, Simplex Method, Chandra Sen’s Method, Optimal Solution.
Field	Mathematics
Published In	Volume 7, Issue 6, November-December 2025
Published On	2025-11-13
DOI	https://doi.org/10.36948/ijfmr.2025.v07i06.60411

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