TARU PUBLICATIONS
Journal of Information and Optimization Sciences cover

Journal of Information and Optimization Sciences

(Since 1980)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

WoS  JIF 2026 : 0.4 (Q4)

Powered by:Powered by

Monthly Journal: Publishes theoretical and applied research on topics in information and optimization sciences.

Issues up to 2022 co-published with and available at:Taylor & Francis
submissions@tarupublications.com
Taru Online First Current IssueSpecial IssuesBrowse all Issues
Journal of Information and Optimization Sciences
Open Access A

An innovative way for solving transportation problem using modular arithmetic

* ,

* Corresponding author · click or hover a name for details

pp. 255–270Vol. 44Issue 2March 2023DOI: 10.47974/JIOS-1273XML
Received:
05 Feb 2022
Accepted:
05 Jul 2022
Published Online:
20 Mar 2023
Article type:
A
Language:
EN
Article no.:
JIOS-1273
Pages:
255–270

Abstract

An innovative algorithm to solve TP using modular arithmetic which minimizes cost of transportation is described. To exhibit the potential use of this algorithm, examples are illustrated which shows that suggested algorithm is simpler and computationally more efficient than some existing methods frequently used in the literature. MATLAB coding of suggested algorithm is also provided.

Keywords

Congruence moduloCost minimizationMATLABTransportation problem

Subject Classifications

[2010] 90B06

References

[1] Gupta P, Hira D, Operations Research. S. Chand and Co., Ltd. New Delhi, 2009.
[2] Hitchcock F. The distribution of a product from several sources to numerous localities. Journal of Mathematics and Phyics. 1941; 20: 224–230.
[3] Charnes A, Cooper W. The stepping-stone method for explaining linear programming calculation in transportation problem. Management Sci. 1.19542 49–69.
[4] Pandian P. Natarajan G. A new method for finding an optimal solution for transportation problems. International Journal of Mathematical Sciences & Engineering Applications. (IJMSEA), 2010; 4: 59-65.
[5] Pandian P. Natarajan G. A New Method for Solving Bottleneck-Cost Transportation Problems. International Mathematical Forum, 2011; 6(10):451 – 460.
[6] Mhlanga A, Nduna I, Matarise F, Machisvo A Innovative application of Dantzig’s North-West Corner rule to solve a transportation problem. International Journal of Education and Research. 2014;2 (2):1–12.
[7] Sadeghi J. A method for solving the transportation problem, Journal of Statistics and Management Systems, 2018; 21(5):817-837, DOI: 10.1080/09720510.2018.1453682
[8] Ghadle K, Munot D. A New approach to solve Assignment Problem and its coding in MATLAB. Advances In Mathematics: Scientific Journal. 2020; 9: 9551-9557.
[9] Ghadle K, Munot D. A freezing method for solving Bottleneck-Cost transportation problem. Turkish Journal Of Computer and Mathematics Education. 2021; 12: 3551-3556
[10] Gallian J. Contempary Abstract Algebra. The mathematical gazette, 1991.

Views: 185Downloads: 66Citations: 0