Solution Optimal Transportation Problems Using the Sirisha Viola Modification Method Python assisted programming

Fahrudin Muhtarulloh; Aisyah Maulidina; Arief Fatchul Huda

doi:10.35877/454RI.jinav1660

Fahrudin Muhtarulloh UIN Sunan Gunung Djati, Jl. AH. Nasution No. 105, Bandung, 40614, Indonesia (ID) https://orcid.org/0009-0004-5054-605X
Aisyah Maulidina UIN Sunan Gunung Djati, Jl. AH. Nasution No. 105, Bandung, 40614, Indonesia (ID)
Arief Fatchul Huda UIN Sunan Gunung Djati, Jl. AH. Nasution No. 105, Bandung, 40614, Indonesia (ID)

https://doi.org/10.35877/454RI.jinav1660

Keywords: Transportation Problems ; Sirisha Viola Modification Method ; Python Programming ; Optimal Solution

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Abstract

One of the problems that exist in operations research is the problem of transportation. This study proposes the completion of the optimal solution in the transportation problem using the Modified Method of the Sirisha Viola method. The method proposed hereinafter is called the Sirisha Viola Modified Method . The algorithm in this method is the same as in the Sirisha Viola method but differs in the allocation step, where the allocation is made to the minimum demand first, then compared with the corresponding supply value. The data used in this study consisted of secondary data and simulated data (random data). The results of numerical calculations or using the help of the Python program for secondary data obtained an optimal solution of 12,100 cost units. Whereas for random data consisting of 4 0 balanced data and 40 unbalanced data with sizes 10 x 10, 13 x 17, 25 x 27, and 50 x 50 the optimal solution results are obtained. It is concluded that the Sirisha Viol a Modification Method in solving transportation problems can produce optimal solutions directly without the need to determine the initial feasible solution.

References

Ahmed, MM, Sultana, N., Khan, AR, & Uddin, M. (2017). An innovative approach to obtain an initial basic feasible solution for the transportation problems .

Brookes, JE (1970). Operational Research in Education Administration. Education and Urban Society , 3 (1), 7–40.

Jardine, AKS (1970). Operational research in maintenance . Manchester UniversityPress.

Jek Siang, J. (2014). Operations Research on an Algorithmic Approach. Yogyakarta: Publisher Andi .

Kirby, MW (2003). Operational research in war and peace: the British experience from the 1930s to 1970 . Imperial College Press.

Merigó, JM, & Yang, J. -B. (2017). A bibliometric analysis of operations research and management science. Omega , 73 , 37–48.

Muhtarulloh, F., & Maulidina, A. (nd). The Sirisha-Viola Method For Finding Optimal Solutions To Transportation Problems. Journal of Mathematical Science and Statistics , 8 (1), 19–26.

Muhtarulloh, F., Meirista, M., & Cahyandari, R. (nd). Solving Transportation Problems Using the Sumathi-Sathiya Method and the Karagul-Sahin Approach (KSAM). EurekaMatika Journal , 10 (1), 51–62.

Patel, RG, & Bhathawala, PH (2015). The Advance method for the optimum solution of a transportation problem. International Journal of Science and Research , 6 (14), 703–705.

Sari, DP, Bu'ulolo, F., & Ariswoyo, S. (2013). Optimization of Transportation Problems Using Potential Methods in the Distribution System of PT. XYZ. Saintia Mathematics , 1 (5), 406–418.

Sirisha, J., & Viola, A. (2018). A Novel Method to Find an Optimal Solution for Transportation Problems an Experiment. International Journal of Pure and Applied Mathematics , 118 (24), 1–7.