APPLIED MODIFIED EXPONENTIAL APPROACH METHOD TO DETERMINE THE OPTIMAL SOLUTION

  • Meliana Pasaribu Departmen of Mathematic, Faculty of Mathematics and Natural Science, Universitas Tanjungpura, Indonesia https://orcid.org/0000-0003-3241-506X
  • Helmi Helmi Departmen of Mathematic, Faculty of Mathematics and Natural Science, Universitas Tanjungpura, Indonesia https://orcid.org/0009-0007-0932-6209
  • Dwi Pajriah Departmen of Mathematic, Faculty of Mathematics and Natural Science, Universitas Tanjungpura, Indonesia https://orcid.org/0009-0000-0710-4169
  • Devi Indah Lestari Departmen of Mathematic, Faculty of Mathematics and Natural Science, Universitas Tanjungpura, Indonesia https://orcid.org/0009-0008-3297-4877
Keywords: Allocation, Reduced cost entries, Vaccines distribution

Abstract

PT. IGM distributes vaccines to several cities within and outside West Kalimantan. Distribution can be carried out directly or through CV. XYZ. To maintain vaccine quality, an effective and efficient vaccine management plan is required, especially for storage and distribution, to prevent any deviations in these processes This is done to ensure the vaccine’s potency remains intact until it is ready for use. Distribution routes are chosen to be as efficient as possible. Therefore, this article discusses the application of the transportation method to manage vaccine distribution and minimize distribution costs. The distribution problem is formulated into a mathematical model and solved using the modified exponential approach method. This method is improvement on the improved Exponential Approach, focusing on the determination of initial solution and table revisions. Allocation is based on selecting cells with the smallest reduced cost entries. Based on research findings, PT IGM distributes vaccines to CV. XYZ, Pontianak and Kuburaya in amounts of 209.000 units, 151.000 units and 310.000 units, respectively. CV. XYZ distributes vaccines to Ketapang, Singkawang, Sintang and Bengkayang in amount of 40.000 units, 55.000 units, 45.000 units, and 9.000 units, respectively.

 

Downloads

Download data is not yet available.

References

M. G. Milgroom, "Vaccines, Vaccination, and Immunization.," in In Biology of Infectious Disease: From Molecules to Ecosystems, Cham, Springer International Publishing, 2023, pp. 175-192.

N. Habibah, R. Suliastiarini and F. Aryati, "Evaluation of Vaccine Distribution and Storage in Several Health Departments in East Kalimantan," Journal Pharmasci (Journal of Pharmacy and Science), pp. 11-16., 2024.

I. A. Setiani, H. Helmi and M. Pasaribu, "OPTIMASI TRANSPORTASI SEIMBANG DAN TAK SEIMBANG MENGGUNAKAN METODE MODIFIKASI ASM," Bimaster: Buletin Ilmiah Matematika, vol. 12, no. 5, pp. 443-452, 2023.

J. Junaidi, M. Kiftiah and M. Pasaribu, "Perbandingan Metode Revised Distribution Dan Improved Zero Point Method Untuk Mengoptimalkan Biaya Pendistribusian Barang (Studi Kasus: UMKM Kue Bolu Pak Agus Di Kabupaten Kayong Utara)," Equator: Journal of Mathematical and Statistical Sciences, vol. 1, no. 1, pp. 1-7, 2022.

W. L. Winston, Operations research: applications and algorithm, Thomson Learning, Inc.., 2004.

E. EMUSB, S. Perera, W. Daundasekara and Z. A. M. S. Juman., "An effective alternative new approach in solving transportation problems," American Journal of Electrical and Computer Engineering, vol. 5, no. 1, pp. 1-8, 2021.

J. K. Sharma, Operation Research: Theory and Applications, Delhi: Trinity Press, 2016.

A. Quddoos, S. Javaid and M. M. & Khalid, "A new method for finding an optimal solution for transportation problems," International Journal on Computer Science and Engineering, vol. 4, no. 7, pp. 1271-1274, 2012.

A. Quddoos, S. Javaid and M. M. Khalid, "A revised version of ASM-method for solving transportation problem," International Journal Agriculture, Statistics, Science,, vol. 12, no. 1, pp. 267-272, 2016.

R. Murugesan and T. Esakkiammal, "Some challenging transportation problems to the asm method," Advances in Mathematics: Scientific Journal, vol. 9, no. 6, pp. 3357-3367, 2020.

S. E. Vannan and S. Rekha, "A new method for obtaining an optimal solution for transportation problems," International journal of engineering and advanced technology, vol. 2, no. 5, pp. 369-371, 2013.

D. A. Hidayat, "Metode Improved Exponential Approach dalam Menentukan Solusi Optimum pada Masalah Transportasi," Jurnal Matematika, vol. 5, no. 3, 2016.

W. Nurazian, H. Helmi and M. Pasaribu, "Metode Modified Exponential Approach Dalam Menyelesaikan Masalah Transportasi Tidak Seimbang," Bimaster: Buletin Ilmiah Matematika, Statistika dan Terapannya, vol. 11, no. 2, pp. 347-354, 2022.

H. Siringoringo, Pemograman Linear: Seri Teknik Riset Operasi, Yogyakarta: Graha Ilmu, 2005.

M. Pasaribu and M. Kiftiah, Pemrograman linier : seri metode grafik dan metode simpleks, Untan Press, 2024.

K. Thiagarajan, H. Saravanan and P. Natarajan, "Finding on Optimal Solution for Transportation Problem-Zero Neighbouring Method," Ultra Scientis, vol. 25, no. 2, pp. 281-284, 2013.

V. Ilwaru, Y. Lesnussa and &. J. Tentua, "Optimasi Biaya Distribusi Beras Miskin (Raskin) Menggunakan Masalah Transportasi Tak Seimbang," BAREKENG: J. Math. & App., vol. 14, no. 4, pp. 609-618, 2020.

M. Fegade, V. Jadhav and A. Muley., "Solving Fuzzy transportation problem using zero suffix and robust ranking methodology," OSR Journal of Engineering (IOSRJEN), vol. 2, no. 7, pp. 36-39, 2012.

A. N. Aini., A. Shodiqin. and D. Wulandari., "Solving Fuzzy Transportation Problem Using ASM Method and Zero Suffix Method," Enthusiastic : International Journal of Applied Statistics and Data Science, vol. 1, no. 1, pp. 28-35, 2021.

G. Sharma., S. Abbas. and V. Gupta., "Optimum solution of Transportation Problem with the help of Zero Point Method," International Journal of Engineering Research & Technology, vol. 1, no. 5, pp. 1-5, 2012.

Published
2025-01-13
How to Cite
[1]
M. Pasaribu, H. Helmi, D. Pajriah, and D. I. Lestari, “APPLIED MODIFIED EXPONENTIAL APPROACH METHOD TO DETERMINE THE OPTIMAL SOLUTION”, BAREKENG: J. Math. & App., vol. 19, no. 1, pp. 87-96, Jan. 2025.