An Effective Alternative New Approach in Solving Transportation Problems

Ekanayake E. M. U. S. B.; Perera S. P. C.; Daundasekara W. B.; Juman Z. A. M. S.

doi:doi:10.11648/j.ajece.20210501.11

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An Effective Alternative New Approach in Solving Transportation Problems

Ekanayake E. M. U. S. B., Perera S. P. C., Daundasekara W. B., Juman Z. A. M. S.

Published in American Journal of Electrical and Computer Engineering (Volume 5, Issue 1)

Received: 15 July 2020 Accepted: 23 January 2021 Published: 30 January 2021

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Abstract

The Transportation problem is one of the most colorful and demanding problems in the history of Operations Research. Many researchers have paid attention to solve the problem using different approaches. In certain approaches focused on finding an initial basic feasible solution and the other to find the optimal solution. It can be noticed that these methods have advantages and disadvantages. Out of all the methods that can be found in the literature, Northwest, Least Cost and Vogel’s Approximation methods are the most prominent and renowned methods in finding an initial basic feasible solution. Also, the Modified Distribution (MODI) Method and Stepping Stone Method are the most acceptable methods in finding the optimal solution to the transportation problem. In this research paper, we propose an alternative method that finds the optimal or nearly optimal solution to the transportation problem. This method which is based on an iterative algorithm can be applied to balance as well as unbalanced transportation problems. It is also to be noticed that this method requires a minimum number of iterations to reach the optimality as compared to the other existing methods. Also, we have developed a new method of finding an optimal solution for both balanced and unbalanced transportation problems.

Published in	American Journal of Electrical and Computer Engineering (Volume 5, Issue 1) This article belongs to the Special Issue Artificial Intelligence in Electrical Power & Energy
DOI	10.11648/j.ajece.20210501.11
Page(s)	1-8
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Transportation Problem, Optimal Solution, Balance, Unbalance and Optimal Solution

References

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Ekanayake E. M. U. S. B., Perera S. P. C., Daundasekara W. B., Juman Z. A. M. S. (2021). An Effective Alternative New Approach in Solving Transportation Problems. American Journal of Electrical and Computer Engineering, 5(1), 1-8. https://doi.org/10.11648/j.ajece.20210501.11

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ACS Style

Ekanayake E. M. U. S. B.; Perera S. P. C.; Daundasekara W. B.; Juman Z. A. M. S. An Effective Alternative New Approach in Solving Transportation Problems. Am. J. Electr. Comput. Eng. 2021, 5(1), 1-8. doi: 10.11648/j.ajece.20210501.11

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AMA Style

Ekanayake E. M. U. S. B., Perera S. P. C., Daundasekara W. B., Juman Z. A. M. S. An Effective Alternative New Approach in Solving Transportation Problems. Am J Electr Comput Eng. 2021;5(1):1-8. doi: 10.11648/j.ajece.20210501.11

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@article{10.11648/j.ajece.20210501.11,
  author = {Ekanayake E. M. U. S. B. and Perera S. P. C. and Daundasekara W. B. and Juman Z. A. M. S.},
  title = {An Effective Alternative New Approach in Solving Transportation Problems},
  journal = {American Journal of Electrical and Computer Engineering},
  volume = {5},
  number = {1},
  pages = {1-8},
  doi = {10.11648/j.ajece.20210501.11},
  url = {https://doi.org/10.11648/j.ajece.20210501.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajece.20210501.11},
  abstract = {The Transportation problem is one of the most colorful and demanding problems in the history of Operations Research. Many researchers have paid attention to solve the problem using different approaches. In certain approaches focused on finding an initial basic feasible solution and the other to find the optimal solution. It can be noticed that these methods have advantages and disadvantages. Out of all the methods that can be found in the literature, Northwest, Least Cost and Vogel’s Approximation methods are the most prominent and renowned methods in finding an initial basic feasible solution. Also, the Modified Distribution (MODI) Method and Stepping Stone Method are the most acceptable methods in finding the optimal solution to the transportation problem. In this research paper, we propose an alternative method that finds the optimal or nearly optimal solution to the transportation problem. This method which is based on an iterative algorithm can be applied to balance as well as unbalanced transportation problems. It is also to be noticed that this method requires a minimum number of iterations to reach the optimality as compared to the other existing methods. Also, we have developed a new method of finding an optimal solution for both balanced and unbalanced transportation problems.},
 year = {2021}
}

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TY - JOUR
T1 - An Effective Alternative New Approach in Solving Transportation Problems
AU - Ekanayake E. M. U. S. B.
AU - Perera S. P. C.
AU - Daundasekara W. B.
AU - Juman Z. A. M. S.
Y1 - 2021/01/30
PY - 2021
N1 - https://doi.org/10.11648/j.ajece.20210501.11
DO - 10.11648/j.ajece.20210501.11
T2 - American Journal of Electrical and Computer Engineering
JF - American Journal of Electrical and Computer Engineering
JO - American Journal of Electrical and Computer Engineering
SP - 1
EP - 8
PB - Science Publishing Group
SN - 2640-0502
UR - https://doi.org/10.11648/j.ajece.20210501.11
AB - The Transportation problem is one of the most colorful and demanding problems in the history of Operations Research. Many researchers have paid attention to solve the problem using different approaches. In certain approaches focused on finding an initial basic feasible solution and the other to find the optimal solution. It can be noticed that these methods have advantages and disadvantages. Out of all the methods that can be found in the literature, Northwest, Least Cost and Vogel’s Approximation methods are the most prominent and renowned methods in finding an initial basic feasible solution. Also, the Modified Distribution (MODI) Method and Stepping Stone Method are the most acceptable methods in finding the optimal solution to the transportation problem. In this research paper, we propose an alternative method that finds the optimal or nearly optimal solution to the transportation problem. This method which is based on an iterative algorithm can be applied to balance as well as unbalanced transportation problems. It is also to be noticed that this method requires a minimum number of iterations to reach the optimality as compared to the other existing methods. Also, we have developed a new method of finding an optimal solution for both balanced and unbalanced transportation problems.
VL - 5
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Author Information

Ekanayake E. M. U. S. B.

Department of Physical Sciences, Faculty of Applied Sciences, Rajarata University of Sri Lanka, Mihinthale, Sri Lanka
Perera S. P. C.

Department of Engineering Mathematics, Faculty of Engineering, University of Peradeniya, Peradeniya, Sri Lanka
Daundasekara W. B.

Department of Mathematics, Faculty of Science, University of Peradeniya, Peradeniya, Sri Lanka
Juman Z. A. M. S.

Department of Mathematics, Faculty of Science, University of Peradeniya, Peradeniya, Sri Lanka

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APA Style

Ekanayake E. M. U. S. B., Perera S. P. C., Daundasekara W. B., Juman Z. A. M. S. (2021). An Effective Alternative New Approach in Solving Transportation Problems. American Journal of Electrical and Computer Engineering, 5(1), 1-8. https://doi.org/10.11648/j.ajece.20210501.11

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ACS Style

Ekanayake E. M. U. S. B.; Perera S. P. C.; Daundasekara W. B.; Juman Z. A. M. S. An Effective Alternative New Approach in Solving Transportation Problems. Am. J. Electr. Comput. Eng. 2021, 5(1), 1-8. doi: 10.11648/j.ajece.20210501.11

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AMA Style

Ekanayake E. M. U. S. B., Perera S. P. C., Daundasekara W. B., Juman Z. A. M. S. An Effective Alternative New Approach in Solving Transportation Problems. Am J Electr Comput Eng. 2021;5(1):1-8. doi: 10.11648/j.ajece.20210501.11

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@article{10.11648/j.ajece.20210501.11,
  author = {Ekanayake E. M. U. S. B. and Perera S. P. C. and Daundasekara W. B. and Juman Z. A. M. S.},
  title = {An Effective Alternative New Approach in Solving Transportation Problems},
  journal = {American Journal of Electrical and Computer Engineering},
  volume = {5},
  number = {1},
  pages = {1-8},
  doi = {10.11648/j.ajece.20210501.11},
  url = {https://doi.org/10.11648/j.ajece.20210501.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajece.20210501.11},
  abstract = {The Transportation problem is one of the most colorful and demanding problems in the history of Operations Research. Many researchers have paid attention to solve the problem using different approaches. In certain approaches focused on finding an initial basic feasible solution and the other to find the optimal solution. It can be noticed that these methods have advantages and disadvantages. Out of all the methods that can be found in the literature, Northwest, Least Cost and Vogel’s Approximation methods are the most prominent and renowned methods in finding an initial basic feasible solution. Also, the Modified Distribution (MODI) Method and Stepping Stone Method are the most acceptable methods in finding the optimal solution to the transportation problem. In this research paper, we propose an alternative method that finds the optimal or nearly optimal solution to the transportation problem. This method which is based on an iterative algorithm can be applied to balance as well as unbalanced transportation problems. It is also to be noticed that this method requires a minimum number of iterations to reach the optimality as compared to the other existing methods. Also, we have developed a new method of finding an optimal solution for both balanced and unbalanced transportation problems.},
 year = {2021}
}

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