A Modified Method for Finding the Initial Basic Feasible Solution of Transportation Problems
Student: Abbas Ibrahim Umar (Project, 2025)
Department of Mathematical Sciences
Bayero University, Kano, Kano State
Abstract
The transportation problem, a vital component of linear programming, addresses the optimal allocation of resources from multiple sources to various destinations at minimal cost. The effectiveness of any solution method greatly depends on the quality of the Initial Basic Feasible Solution (INBFS), which serves as a starting point for iterative optimization methods like the Modified Distribution Method (MODI). This project presents a modified approach for obtaining the INBFS of transportation problems, aimed at improving convergence to the optimal solution and computational efficiency. The proposed method is evaluated in comparison with established techniques, including the Allocation Table Method, Vogel’s Approximation Method (VAM), and the Equitable Allocation Method (EQM). The results demonstrate that the modified method consistently provides a closer approximation to the optimal solution, thereby enhancing overall efficiency in solving transportation problems
Keywords
For the full publication, please contact the author directly at: aumar5127@gmail.com
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Institutions
- HASSAN USMAN KATSINA POLYTECHNIC (NCE), KATSINA, KATSINA STATE 4
- Hassan Usman Katsina Polytechnic, Katsina, Katsina State 5
- Heritage Polytechnic, Ikot Udota, Akwa Ibom State 46
- Hussaini Adamu Federal Polytechnic, Kazaure, Jigawa State 8
- Ibrahim Badamasi Babangida University, Lapai, Niger State 24
- Igbinedion University, Okada, Benin City, Edo State 2
- Ignatius Ajuru University of Education, Port Harcourt, Rivers State 8
- Imo State Polytechnic, Umuagwo, Owerri, Imo State 3
- Imo State University, Owerri, Imo State 45
- Institute of Management and Technology, Enugu, Enugu State 11