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
Filters
Institutions
- Ekiti State University 58
- Ekiti State University, Ado-Ekiti, Ekiti State 881
- Elizade University, Ilara-Mokin, Ondo State 100
- Emmanuel Alayande College of Education, Oyo. (affl To Ekiti State Univ) 2
- Enugu State Polytechnic, Iwollo, Enugu State 4
- Enugu State University of Science and Technology, Enugu, Enugu State 29
- Evangel University, Akaeze, Ebonyi State 2
- FCT COLLEGE OF EDUCATION, ZUBA ,( AFFILIATED TO ABU, ZARIA), FCT-ABUJA 5
- Federal College of Agricultural Produce Tech, Hotoro Gra Ext, Kano, Kano State 2
- Federal College of Educ. (Special), Oyo, Oyo State (Aff To Uni. Ibadan) 10