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Analisis Model Seirs terhadap Kecanduan Gadget Anak Usia Dini dengan Metode Runge-Kutta Orde-5 Ayu Annisa Suratna; Hendra Cipta; Rina Filia Sari
MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Vol. 6 No. 1 (2023): Vol 6 No 1 Maret 2023
Publisher : Prodi Pendidikan matematika Universitas Islam Majapahit (UNIM), Mojokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36815/majamath.v6i1.2470

Abstract

Penelitian ini membahas tentang kecanduan gadget yang dialami oleh anak usia dini menggunakan model matematika SEIRS, yang kemudian dianalisis menggunakan Runge-Kutta Orde ke-5. Hasil dari penelitian ini adalah model matematika dS/dt=-0.14SI+0.03R, S(0)=5; dE/dt=0.14SI-0.012E, E(0)=22; dI/dt=0.006E-0.01I, I(0)=4; dR/dt=0.01I+0.012E-0.03R, R(0)=19. Dari model tersebut dihasilkan nilai iterasi dengan menggunakan Metode Runge-Kutta orde ke 5 pada waktu t=1 sampai t=3 dan ukuran langkah h=1 . Solusi model matematika SEIRS menghasilkan iterasi yang mengalami kenaikan dan penurunan. Namun, Metode Runge-kutta dinyatakan efektif dalam penyelesaian Model SEIRS karena angka galat yang dihasilkan mendekati nilai 0.
PENGENDALIAN PERSEDIAAN BAHAN BAKU BROWNIES DENGAN ANALISIS PERBANDINGAN METODE MIN-MAX, ECONOMIC ORDER QUANTITY DAN PERIOD ORDER QUANTITY Nurhasanah Nurhasanah; Rina Filia Sari; Hendra Cipta
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 4 No. 1 (2023): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v4i1.225

Abstract

This research examines raw material inventory control at Hendhy's Brownies. Inventory management analysis is carried out using the Min-Max, Economic Order Quantity (EOQ) and Period Order Quantity (POQ) methods. Based on data analysis and processing, it is known that raw material inventory management using the min-max method has an order quantity of 13,231 kg with an ordering frequency of 5 times and a total ordering cost of Rp. 5,325,387. By using the Economic Order Quantity (EOQ) method, an order quantity of 9001 kg was obtained with an order frequency of 5.3 times and a total order cost of Rp. 3,420,527 Using the Periodic Order Quantity (POQ) method, the order quantity is 4252 kg, the order frequency is 20 times, and the total order price is IDR 3,071,030. Based on the results of the three methods, the EOQ method is the most optimal inventory control method compared to the other two methods. So that the results obtained through the EOQ method can improve forecasting of raw material shortages for companies, so that the use of raw materials becomes optimal
Optimization of Liquid Petroleum Gas (LPG) Gas Cylinder Distribution Route with Saving Matrix Method Fitri Armanda; Rina Filia Sari
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.3452

Abstract

This study aims to optimize the route traveled so that the transportation costs incurred by the company can be much less. This is done because the company as an agent of 3 kg LPG gas cylinders in distributing LPG gas to each base is still not optimal with irregular routes so that the costs incurred by the company are quite large. One solution that can be done in solving this distribution problem is to apply the Saving Matrix method. The Saving Matrix method is one method that can be used to determine the distribution route of a product to the area to be marketed by determining which route to take by looking at the capacity of the vehicle and the number of goods carried in order to get the shortest route and the cost for transportation incurred is small. Based on the results of the study, a distance of 100.73 km was obtained with a total initial distance of 144.29 km, with transportation costs incurred initially of Rp. 98,117.1 to Rp. 68,496.4. So, this shows that the saving matrix method can minimize distance and transportation costs.
OPTIMISASI PENDISTRIBUSIAN TELUR MENGGUNAKAN MODEL FUZZY MULTIOBJECTIVE CYCLICAL INVENTORY ROUTING PROBLEM Mukminah Mardiah; Fibri Rakhmawati; Rina Filia Sari
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 4 No. 3 (2023): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v4i3.521

Abstract

The distribution of duck eggs is carried out in several retail stores in Medan, where road conditions, vehicle conditions and travel times are uncertain which results in uncertain costs. This problem can be solved using a fuzzy model that aims to minimize costs and minimize delivery time. This research was conducted at CV. Bebek Berkah Farm by discussing the Optimization of Egg Distribution using the FMOCIRP model. Completion of this model is done by using Winqsb software. Based on the results of calculations, the FMOCIRP model can save with an initial cost of 114,000 to Rp.84.500, and delivery time to 239 minutes from 277 minutes previously, where the optimal solution is a distribution route that provides minimum costs and time
Optimization Of Peanut Bread Production Using The Cutting Plane Method at UD. Hj. Eliya Lubis Siti Khadijah Laoly; Rina Filia Sari
Advance Sustainable Science Engineering and Technology Vol. 6 No. 3 (2024): May - July
Publisher : Science and Technology Research Centre Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/asset.v6i3.841

Abstract

This research aims to optimize the production of peanut bread at UKM Peanut RotiHj. Eliya Lubis in Tebing Tinggi City. The main challenges faced are fluctuating raw material prices and unstable consumer demand, which affect the production process. The research uses the cutting plane method to complete an integer linear program to determine optimal production quantities. This method was chosen because it is effective in solving optimization problems with integer results, which are relevant for in-house production. The research results show that the cutting plane method is able to produce better optimal solutions than other methods, such as branch and bound, thereby increasingproduction efficiency and company profits. . Based on the results of management using the cutting plane method, the profit obtained in December 2023 is IDR. 281.734.404,4 by producing 1.248 peanut butter pineapple breads, 2.175 strawberry jams, 595 cappuccino jams, 6.676 chocolate jams, 2.618 red bean breads and 4.020 green beans. The profit earned in January 2024 is IDR. 276.866.635 by producing 371 peanut butter pineapple breads, 111 strawberry jams, 1.605 cappuccino jams, 1.333 chocolate jams, 4.538 red bean breadsand 2.714 green bean breads. In this case, income in January 2024 decreased drastically due to an increase in raw material prices so that consumer demand was difficult to fulfill.
Optimization Of Peanut Bread Production Using The Cutting Plane Method at UD. Hj. Eliya Lubis Siti Khadijah Laoly; Rina Filia Sari
Advance Sustainable Science Engineering and Technology Vol. 6 No. 3 (2024): May - July
Publisher : Science and Technology Research Centre Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/asset.v6i3.841

Abstract

This research aims to optimize the production of peanut bread at UKM Peanut RotiHj. Eliya Lubis in Tebing Tinggi City. The main challenges faced are fluctuating raw material prices and unstable consumer demand, which affect the production process. The research uses the cutting plane method to complete an integer linear program to determine optimal production quantities. This method was chosen because it is effective in solving optimization problems with integer results, which are relevant for in-house production. The research results show that the cutting plane method is able to produce better optimal solutions than other methods, such as branch and bound, thereby increasingproduction efficiency and company profits. . Based on the results of management using the cutting plane method, the profit obtained in December 2023 is IDR. 281.734.404,4 by producing 1.248 peanut butter pineapple breads, 2.175 strawberry jams, 595 cappuccino jams, 6.676 chocolate jams, 2.618 red bean breads and 4.020 green beans. The profit earned in January 2024 is IDR. 276.866.635 by producing 371 peanut butter pineapple breads, 111 strawberry jams, 1.605 cappuccino jams, 1.333 chocolate jams, 4.538 red bean breadsand 2.714 green bean breads. In this case, income in January 2024 decreased drastically due to an increase in raw material prices so that consumer demand was difficult to fulfill.