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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- Binyaminu Usman Polytechnic, Hadijia, Jigawa State 3
- Borno State University, Maiduguri, Borno State 15
- Bowen University, Iwo, Osun State 1
- Chukwuemeka Odumegwu Ojukwu University, Uli, Anambra State 254
- College of Agriculture and Animal Science, Mando Road, Kaduna, Kaduna State 1
- College of Agriculture, Science and Technology, Lafia, Nasarawa State 8
- College of Education, Akwanga (affl To Ahmadu Bello Univ, Zaria) 1
- College of Education, Eha Amufu, (Affliliated To Unn), Enugu State 1
- College of Education, Warri (Affiliated To Delta State Uni, Abraka), Delta State 1
- College of Health Technology, Calabar, Cross River State 1