A Literature Review of Distribution Solving Problems by Various Transportation Methods

Authors

  • Nursafwah Universitas Sumatera Utara
  • Nazaruddin Matondang Universitas Sumatera Utara
  • Aulia Ishak Universitas Sumatera Utara

DOI:

https://doi.org/10.32734/jsti.v25i2.9741

Keywords:

Review, Vogel Approximation Method, Modified Distribution, Least Cost Method, North-West Corner, Initial Basic Feasible Solution

Abstract

The aim of this study to review the limited survey of a systematic various existing transportation problems and the application developed by different researchers and applied in some case studies. The methodology applied in this paper through various research papers that available at Google Scholar, Science direct, Elsevier, IOP and another publisher from 2014-2022 (twenty-four international researches). The main purpose of this review paper is to discuss, analyze and the existing forms of various types of transportation problems and their systematic development, Findings show that in addition to the MODI and VAM methods, other methods have also emerged to solve the transportation problem. One of them is Improve VAM (IVAM) that built by Nahar et.al (2018). IVDM on transportation or delivery strategy. Further, this paper concludes that mathematical models and algorithm method of transportation derivatives/techniques of MODI and VAM are most used to optimize single or multipurpose parameters such as distribution cost, profit earned, total transportation time etc.

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References

U. Krishnan and M. Masrom, “Optimizing Transportation Cost Using Linear Programming: A Malaysian Case Study,” Open International Journal of Informatics, vol. 10, no. 1, pp. 1–12, Jun. 2022, doi: 10.11113/OIJI2022.10N1.171.

J. Szkutnik-Rogoż, J. Ziółkowski, J. Małachowski, and M. Oszczypała, “Mathematical Programming and Solution Approaches for Transportation Optimisation in Supply Network,” Energies 2021, Vol. 14, Page 7010, vol. 14, no. 21, p. 7010, Oct. 2021, doi: 10.3390/EN14217010.

S. Jamali, M. M. Shaikh, and A. S. Soomro, “Overview of Optimality of New Direct Optimal Methods for the Transportation Problems,” Asian Research Journal of Mathematics, vol. 15, no. 4, pp. 1–10, Nov. 2019, doi: 10.9734/ARJOM/2019/V15I430160.

H. A. Hussein and M. A. K. Shiker, “A Modification to Vogel’s Approximation Method to Solve Transportation Problems,” in Journal of Physics: Conference Series, 2020. doi: 10.1088/1742-6596/1591/1/012029.

A. Salah and A. Sulaiman, “Proposed methods for finding the basic acceptable solution for the transportation problems,” 2019.

D. Banik and M. Zahid Hasan, “Transportation Cost Optimization of an Online Business Applying Vogel’s Approximation Method,” World Sci News, vol. 96, 2018.

“An Effective Methodology for Solving Transportation Problem,” International Journal of Scientific and Innovative Mathematical Research, vol. 5, no. 10, 2017, doi: 10.20431/2347-3142.0510004.

N. Iheonu and S. Inyama, “On the Optimization of Transportation Problem,” British Journal of Mathematics & Computer Science, vol. 13, no. 4, pp. 1–11, Jan. 2016, doi: 10.9734/bjmcs/2016/17279.

M. D. N. Nugraha, M. Jihadi, and B. M. Shanty, “Optimization Analysis of Petroganik Fertilizer Distribution at PT Petrokimia Gresik,” Jamanika (Jurnal Manajemen Bisnis dan Kewirausahaan), vol. 1, no. 2, 2021, doi: 10.22219/jamanika.v1i2.16936.

M. S. R. Shaikh, S. F. Shah, and Z. Memon, “Mathematical Theory and Modeling www.iiste.org ISSN,” Online, 2018. [Online]. Available: www.iiste.org

M. S. R. Shaikh, S. F. Shah, and Z. Memon, “Mathematical Theory and Modeling www.iiste.org ISSN,” Online, 2018. [Online]. Available: www.iiste.org

J. Nahar, E. Rusyaman, and S. D. V. E. Putri, “Application of improved Vogel’s approximation method in minimization of rice distribution costs of Perum BULOG,” in IOP Conference Series: Materials Science and Engineering, 2018. doi: 10.1088/1757-899X/332/1/012027.

S. Sasikala, S. Akiri, and P. Subbara, “Solution of Transportation Problem with South-East Corner Method, North-East Corner Method and Comparison with Existing Method,” OAlib, vol. 06, no. 04, 2019, doi: 10.4236/oalib.1105377.

L. Kaur, M. Rakshit, and S. Singh, “An alternate approach for finding the initial basic feasible solution of transportation problem,” International Journal of Scientific and Technology Research, vol. 8, no. 9, 2019.

A. F. W. Haq, S. Supian, and D. Chaerani, “Systematic Literature Review on Troubleshooting Delivery of Production Product Using n-Vehicle with Vogel Total Difference Approach Method,” Jambura Journal of Mathematics, vol. 4, no. 2, 2022, doi: 10.34312/jjom.v4i2.14124.

D. C. S. Bisht and P. K. Srivastava, “One point conventional model to optimize trapezoidal fuzzy transportation problem,” International Journal of Mathematical, Engineering and Management Sciences, vol. 4, no. 5, 2019, doi: 10.33889/IJMEMS.2019.4.5-099.

M. C. Agarana, Z. O. Omogbadegun, and S. O. Makinde, “VAM - MODI mathematical modelling method for minimizing cost of transporting perishables from markets to cafeterias in covenant university,” in Proceedings of the International Conference on Industrial Engineering and Operations Management, 2018.

B. O. Johnson, A. Debora Akwu, and O. C. Ebelechuku, “Superiority of Graph Theoretic Approach to Vogel’s Approximation Method in Solving Unbalanced Transportation Problem,” International Journal of Scientific and Innovative Mathematical Research (IJSIMR), vol. 6, no. 5, pp. 2347–3142, 2018, doi: 10.20431/2347-3142.0605003.

S. Regia, R. Awaluddin, and A. Ahmad Yusuf, “Optimization of Distribution Cost (a Case study in PT. Zamrud Bumi Indonesia),” Journal of Agri Socio Economics and Business, vol. 3, no. 2, 2021, doi: 10.31186/jaseb.3.2.69-80.

M. Malireddy, “The Optimum Solution of Degenerate Transportation Problem,” 2018. [Online]. Available: www.iosrjen.org

M. W. Ullah, A. M. Uddin, and R. Kawser, “A modified Vogel’s approximation method for obtaining a good primal solution of transportation problems,” Annals of Pure and Applied Mathematics, vol. 11, no. 1, 2016.

R. ASKERBEYLİ, “STUDY OF TRANSPORTATION PROBLEM OF IRON AND STEEL INDUSTRY IN TURKEY BASED ON LINEAR PROGRAMMING, VAM AND MODI METHODS,” Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering, vol. 62, no. 1, pp. 79–99, Jun. 2020, doi: 10.33769/aupse.740416.

V. Jain, P. Sethi, R. Verma, S. Arya, C. Chawla, and A. Professor, “An Analytical Solution of Transportation Problem from Modified Distribution (MODI) Approach Natural and Technical sciences View project RG Achievementt View project An Analytical Solution of Transportation Problem from Modified Distribution (MODI) Approach,” 2020. [Online]. Available: https://www.researchgate.net/publication/344281626

O. Jude, “Comparison of Existing Methods of Solving Linear Transportation Problems with a New Approach,” International Journal of Innovation in Science and Mathematics, vol. 4, no. 5, 2016.

Published

2023-07-28

How to Cite

Nursafwah, Matondang, N. ., & Ishak, A. (2023). A Literature Review of Distribution Solving Problems by Various Transportation Methods. Jurnal Sistem Teknik Industri, 25(2), 178-187. https://doi.org/10.32734/jsti.v25i2.9741