International Journal For Multidisciplinary Research

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An Efficient Method to Obtain Initial Basic Feasible Solution of a Transportation Problem

Author(s) Dr. Dipana Jyoti Mohanty, Miss. Suchitra Kumari Patro, Miss. Hemamala Panigrahy
Country India
Abstract Transportation Problem (TP) is the study of strategy for shipping the product from the origin (supplier) to the destination (consumers) and the optimal shipment cost of the TP obtained from the initial basic feasible solution (IBFS). IBFS is the prime element of TP which helps to optimize the TP objective function. Existing methods for finding IBFS could not give the nearest value to minimal cost everywhere. Hence an innovative technique Known as TOCM-MT provides IBFS, which is the closest to an optimal solution. Many researchers have used this TOCM-MT technique through thousands of real-life TP problems, in every time got a better result than VAM, JHM, and TDM1 techniques. Hence, this technique is best for obtaining IBFS. This research is illustrated the TOCM-MT approach through time minimizing, transshipment, and profit maximization problems with some numerical examples.
Keywords Transportation Problem; Initial basic feasible solution; Optimal Solution; Total opportunity cost matrix.
Field Mathematics > Logic
Published In Volume 5, Issue 4, July-August 2023
Published On 2023-08-11
Cite This An Efficient Method to Obtain Initial Basic Feasible Solution of a Transportation Problem - Dr. Dipana Jyoti Mohanty, Miss. Suchitra Kumari Patro, Miss. Hemamala Panigrahy - IJFMR Volume 5, Issue 4, July-August 2023. DOI 10.36948/ijfmr.2023.v05i04.5154
DOI https://doi.org/10.36948/ijfmr.2023.v05i04.5154
Short DOI https://doi.org/gskxc4
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