OPTIMASI BIAYA DISTRIBUSI BERAS SEJAHTERA PERUM BULOG DIVRE SUMATERA BARAT DENGAN IMPROVED VOGEL’S APPROXIMATION METHOD

Authors

  • Susila Bahri Andalas University
  • Arief Farhan Karimi Andalas University
  • Ahmad Iqbal Baqi Andalas University

DOI:

https://doi.org/10.25077/jmua.13.3.208-221.2024

Keywords:

Program Linier, Masalah Transportasi, Improved Vogels Approximation Method (IVAM), Modified Distribution Method (MODI)

Abstract

Perusahaan Umum Badan Urusan Logistik Divisi Regional Sumatera Barat (Perum Bulog Divre Sumatera Barat) adalah perusahaan yang ditunjuk un- tuk mendistribusikan beras sejahtera ke berbagai daerah demi memenuhi kebutuhan pokok penduduk Sumatera Barat. Untuk meminimumkan biaya, dibutuhkan peren- canaan matang sehingga biaya distribusi yang dikeluarkan Perum menjadi optimal. Un- tuk menyelesaikan masalah transportasi pendistribusian kebutuhan pokok tersebut, di- gunakan Improved Vogels Approximation Method (IVAM). Selanjutya, uji optimalisasi biaya dilakukan dengan menggunakan Modified Distribution Method (MODI). Penelitian ini menghasilkan biaya distribusi adalah Rp 124.149.070 sedangkan biaya pengeluaran tanpa penggunaan metode dihasilkan sebesar Rp 126.259.188. Oleh karea itu, terdapat penghematan sebesar Rp 2.001.938.

References

Bulog. Perum Bulog. https://www.bulog.co.id/, diakses pada tanggal 25 September 2021.

Bulog Sumbar. Perum Bulog Divre Sumatera Barat.

Siswanto, 2007. Operation Research. Erlangga, Jakarta.

Simbolon, N., Situmorang, L.D., Napitupulu, M., 1991. Aplikasi Metode Transportasi dalam Optimasi Biaya Distribusi Beras Miskin (Raskin) pada PERUM Bulog Sub Drive Medan. Saintia Mat, Vol. 2, pp. 299–311.

Korukolu, S., Ball, S., 2011. An Improved Vogel’s Approximation Method for the Transportation Problem. Mathematical and Computational Applications, Vol. 16(2), pp. 370–381.

Agaie, B.G., Adamu, M.M., Yakubu, M., Isah, S., Ibrahim, A., 2020. An Improvement on Vogel’s Method to Feasible the Solution of Transportation Problem. Kasu Journal of Mathematical Sciences, Vol. 1(2), pp. 104–115.

Ullah, M.W., Uddin, M.A., Kawser, R., 2016. A Modified Vogel’s Approximation Method for Obtaining a Good Primal Solution of Transportation Problems. Annals of Pure and Applied Mathematics, Vol. 11(1), pp. 63–71.

Winston, W.L., 1991. Operation Research: Applications and Algorithms, Fourth Edition. Indiana University, USA.

Feriani, A., Mardiningsih, 2021. Analysis of Transportation Method in Optimization of Distribution Cost Using Stepping Stone Method and Modified Distribution. Journal of Mathematics Technology and Education, Vol. 1(1), pp. 103–112.

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Published

31-07-2024

Issue

Vol. 13 No. 3 (2024)

Section

Articles

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