Optimizing Transportation Problems using the Substitution Method and Zero-Cut Technique

Objectives: To find the initial basic feasible solution of a transportation problem in real life problem. Methods: We proposed a new method to find the initial basic feasible solution to get optimal solution. Findings: This study introduce the zero-cut method for finding the initial basic feasible solution for transportation problem. The attractive feature of this method is that it requires very simple, so it is very easy to understand. Also, we find a minimum transportation cost. Novelty: The numerical illustration demonstrates with an example for comparing the existing methods.

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Publication Details

Journal
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH
Published
2025-04-18
DOI
https://doi.org/10.47191/ijmcr/v13i4.08
Primary Topic
Optimization and Mathematical Programming
Type
article
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0.00
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article

Optimizing Transportation Problems using the Substitution Method and Zero-Cut Technique

G. Padma karthiyayini
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH
Optimization and Mathematical Programming
article

Optimizing Transportation Problems using the Substitution Method and Zero-Cut Technique

G. Padma karthiyayini
article en

Abstract

Objectives: To find the initial basic feasible solution of a transportation problem in real life problem. Methods: We proposed a new method to find the initial basic feasible solution to get optimal solution. Findings: This study introduce the zero-cut method for finding the initial basic feasible solution for transportation problem. The attractive feature of this method is that it requires very simple, so it is very easy to understand. Also, we find a minimum transportation cost. Novelty: The numerical illustration demonstrates with an example for comparing the existing methods.

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCHVol. 13(04)
Manonmaniam Sundaranar University (IN)
Openalex Percentile: Top 92%
Optimization and Mathematical Programming
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