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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- UMA UKPAI SCHOOL OF THEOLOGY, UYO, AKWA IBOM STATE (AFFL TO UNIVERSITY OF UYO) 1
- Umaru Ali Shinkafi Polytechnic, Sokoto, Sokoto State 24
- Umaru Musa Yaradua University, Katsina, Katsina State 28
- Umca, Ilorin (Affiliated To University of Ibadan), Kwara State 1
- University of Abuja, Abuja, Fct 117
- University of Africa, Toru-Orua, Bayelsa State 4
- University of Benin, Benin City, Edo State 362
- University of Calabar Teaching Hospital School of Health Information Mgt. 1
- University of Calabar, Calabar, Cross River State 240
- University of Ibadan, Ibadan, Oyo State 14