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Journal : KUBIK: Jurnal Publikasi Ilmiah Matematika

Penentuan Solusi Optimal Pemrograman Kuadratik Menggunakan Metode Beale (Studi Kasus: Produksi Padi Kalimantan Barat) Robiah, Rina; Kiftiah, Mariatul; Pasaribu, Meliana
KUBIK Vol 8, No 2 (2023): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v8i2.29213

Abstract

Rice production in an area is influenced by the area of rice harvesting land. BPS data shows that in 2019-2021 there was a decrease in rice production in West Kalimantan due to a decrease in rice harvest areas. Therefore, optimal utilization of harvested area is needed to obtain maximum average rice production. One method to determine the optimal solution of a quadratic programming problem is the Beale method. In this research, the problem of rice production is formulated into a mathematical model. Furthermore, a quadratic objective function is formed which is a concave function by solving linear equations through a matrix approach. The selected function is solved using the Beale method. The Beale method begins by expressing the base variable into a non-base variable in each iteration process. The optimal solution of the Beale method is obtained when the evaluation value of all partial derivatives of the objective function is less than equal to zero. Based on the research results, the rice harvest area of Mempawah, Sintang, Kapuas Hulu, and Kubu Raya districts were 17,799.53424 ha, 16,364.0143 ha, 6,105.685658 ha, and 32,959.2823 ha, respectively, so that the average maximum rice production was 127.6827216 kw/ha.
Optimization of Multi-Product Distribution with Modification of The Modified Exponential Approach Method Pajriah, Dwi; Pasaribu, Meliana; Kiftiah, Mariatul
KUBIK Vol 10 No 1 (2025): IN PRESS
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

In the distribution of several different products, there is a condition where product allocation is not appropriate or there is a multi-product transportation problem. As a result, it is necessary to analyze the appropriate product allocation with minimum shipping costs. In solving this problem, a multi- product transportation problem model and modification of the Modified Exponential Approach method are proposed to obtain an allocation for each product with minimum shipping costs. In the case of the distribution of sweet snack products and spicy/salty snacks at the MSME Giu Store. Delivery is carried out using delivery services (J&T Express, Surya Cargo) and private delivery. Therefore, this problem is a form of transshipment problem. This problem is transformed into a multi-product transportation problem and solved by modifying the Modified Exponential Approach method. The calculation results show that private delivery is inefficient. It is recommended that products be distributed by J&T Express with delivery to the Sambas, Sekadau, and Sintang areas. Surya Cargo delivers to the Sanggau, Mempawah, and Singkawang areas. With this allocation, a minimum distribution cost of Rp 1,378,398 is obtained.