Abstract

A research has been conducted on the use of multiple-goal linear program model to solve multi goals by taking the case of optimization of production planning at CV. Amanda Makassar during the Covid-19 period. In this research, four goals were formulated, that were (i) the fulfillment of the number of market demand, (ii) maximizing income, (iii) minimizing production costs, and (iv) maximizing working hours. Then for the optimal solution using LINGO 18 software. Based on the research results, the optimal production plan during the Covid-19 period resulted from the two different models for original brownies products where the results of the dual-purpose linear program model without target priority produced 16.118 original brownies and 32.400 packages from the dual-purpose linear program model with priority target with weight. For cream cheese brownies, there are 3.000 packages, 18.000 packages of sarikaya pandan brownies, 3.600 packs of choco marble brownies, pink marble brownies, tiramishu marble brownies, roasted brownies, and 1.800 packs of cappuccino marble brownies. Chocolate bananas bolen, pineapple molen, and chocolate ganache in 840 packages. Then for 15.000 packs of blueberry brownies, 960 packs of strawberry brownies, 360 packs of dry brownies, 2.400 banana cheese brownies, 300 packs of cheese bananas bolen, 600 packs of peanut butter, and 9.000 packs of pandan cake for a month. The maximum revenue obtained by the company with a multiple-purpose linear program model without target priority is Rp.628.602.000.- and the minimum production cost that the company must pay is Rp.495,048,300,-. Then for the multiple-purpose linear program model with target priority accompanied by a weight of Rp.4.299.480.000.- and the minimum production cost is Rp.3.394.366.000. The result shows that optimization using a multiple goal linear program model with goal priority provide optimal production which results in greater profit compared to the process (optimization) carried out by the company so far, which is only based on the number of demand.

Highlights

  • A research has been conducted on the use of multiple-goal linear program model to solve multi goals

  • the optimal production plan during the Covid-19 period resulted from the two different models for original brownies products where the results

  • The maximum revenue obtained by the company with a multiple-purpose linear program model

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Summary

Pendahuluan

Optimasi adalah suatu pendekatan normatif untuk mengidentifikasikan penyelesaian terbaik dalam pengambilan keputusan dari suatu permasalahan. Pada penelitian tersebut melibatkan 3 Goal yang ingin dicapai yaitu, memaksimalkan kapasitas produksi, meminimalkan biaya bahan baku, dan memaksimalkan jam kerja mesin. Dalam penelitiannya memiliki 3 Goal yang ingin dicapai yaitu memaksimalkan pendapatan, meminimalkan biaya produksi, dan memaksimalkan penggunaan mesin. Dhoruri pada tahun 2013 [10] dalam penelitiannya menggunakan model Program Linear Tujuan Ganda untuk memecahkan masalah perutean kendaraan dengan 4 Goal yang ingin dicapai yaitu memaksimalkan pemanfaatan kapasitas kendaraan, meminimalkan total waktu tunggu, meminimalkan total biaya untuk melayani pelanggan, dan memaksimalkan jumlah pelanggan yang dilayani. Berbeda dengan Halim dkk., pada tahun 2015 [11] yang dalam penelitiannya menggunakan model Program Linear Tujuan Ganda untuk perencanaan manajemen laporan keuangan suatu Bank. Selanjutnya, pada penelitian ini akan menggunakan model Program Linear Tujuan Ganda tanpa prioritas tujuan dan model Program Linear Tujuan Ganda dengan Prioritas disertai bobot untuk mengoptimalkan perencanaan produksi Selanjutnya, penyelesaian model Program Linear Tujuan Ganda tanpa prioritas tujuan dan model Program Linear Tujuan Ganda dengan prioritas tujuan disertai bobot akan diselesaikan dengan bantuan software LINGO 18

Metode Penelitian
Pengumpulan data
Kompor semawar
Pembentukan model matematika Program Linear Tujuan Ganda
Perumusan fungsi tujuan
Hasil dan Pembahasan
Memaksimalkan jam kerja
Analisis Sensitivitas
Kesimpulan
Full Text
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