Browsing by Author "Nkrumah, Seth K"

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    A Proposed Method for Finding Initial Solutions to Transportation Problems
    (Pakistan Journal of Statistics and Operation Research, 2023) Owusu-Ansah, Emmanuel; Acheson, Valentine; Ackora-Prah, Joseph; Nkrumah, Seth K
    The Transportation Model (TM) in the application of Linear Programming (LP) is very useful in optimal distribution of goods. This paper focuses on finding Initial Basic Feasible Solutions (IBFS) to TMs hence, proposing a Demand- Based Allocation Method (DBAM) to solve the problem. This unprecedented proposal goes in contrast to the Cost- Based Resource Allocations (CBRA) associated with existing methods (including North-west Corner Rule, Least Cost Method and Vogel’s Approximation Method) which select decision variable before choosing demand and supply constraints. The proposed ‘DBAM’ on page 66 is implemented in MATLAB and has the ability to solve large-scale transportation problems to meet industrial needs. A sample of five (5) examples are presented to evaluate efficiency of the method. Initial Basic Feasible Solutions drawn from the study are of higher accuracy and will rapidly converge to optima in less iterations. The comparative results also showed that the DBAM outperforms other methods under this study which qualifies it as one of the best methods to solve industrial TMs.