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Journal : Journal of Mathematics UNP

Penerapan Algoritma Titik Interior dalam Optimasi Keuntungan pada Toko Churro.io Alivia Tasya Kemala; Rara Sandhy Winanda
Journal of Mathematics UNP Vol 8, No 2 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i2.14468

Abstract

Linear Programming is a part of optimization. One of the methods that can be used to solve linear programming problems is the interior point algorithm method. This research is an applied research was aimed to apply the interior point algorithm to solved production optimization problems at Churro.io. The data collection method used in this research was an interview by researcher with Churro.io’s owner. Based on the results of the research using the calculation of the interior point algorithm, a maximum profit of Rp 1.216.400 was obtained by producing 60 units of dark chocolate royal churro, 37 units of white chocolate royal churro, 33 units of matcha royal churro, 21 units of tiramisu royal churro, 21 units of salted caramel royal churro, and 14 units of cheese royal churro. The profit was obtained by Churro.io’s calculation of Rp 890.500, so there is a difference between the calculation of the interior point algorithm and the calculation at the Churro.io of Rp 325.900.
Optimasi Rute Terpendek Jalur Distribusi Pupuk Menggunakan Algoritma Artificial Bee Colony (Studi Kasus: PT Bungo Dani Mandiri Utama Liusman, rio; Winanda, Rara Sandhy
Journal of Mathematics UNP Vol 8, No 4 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i4.14973

Abstract

Product distribution involves planning and storing information related to product storage until the product is delivered. PT Bungo Dani Mandiri Utama is a fertilizer distributor that must visit ten retailers in its product distribution. This research aims to test whether the route currently used by PT Bungo Dani Mandiri Utama is optimal or needs improvement. This research is an applied study that uses the Artificial Bee Colony algorithm to solve the fertilizer distribution problem modeled as a Traveling Salesman Problem. From the analysis, the optimal route is obtained, starting from the warehouse, passing Lubuk Beringin, Limbur, Kerakap Island, Rantau Ikil, Mangun Jayo, Tanjung Menanti, Sungai Binjai, SPA Unit 1 Market, Tirta Mulya, Senamat, and back to the warehouse, with a total distance of 330 km. This optimal route is 48 km shorter than the usual route used by PT Bungo Dani Mandiri Utama which covers 378 km.
Penerapan Metode Goal Programming Non-Preemptive dalam Mengoptimalkan Produksi Air Bersih PDAM Kota Padang Panjang Safitri, Reza Dwi; Winanda, Rara Sandhy
Journal of Mathematics UNP Vol 9, No 1 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i1.15657

Abstract

The Regional Water Supply Company of Padang Panjang is a water supply company located in the city of Padang Panjang. This company has production constraints on the amount of water that does not meet the demand for clean water by customers and the operational costs of maintaining water sources are higher during the dry season than the selling price of water to customers, which causes the company to suffer losses. The purpose of this study is to optimize the production of clean water and minimize losses at the Regional Water Supply Company of Padang Panjang. The method used in this study is Non-Preemptive Goal Programming. The results of this study found a decrease in losses at the Regional Water Supply Company of Padang Panjang, which previously amounted to IDR 174,566,828 to no longer experience losses.
Pemodelan Stunting pada Balita di Indonesia Menggunakan Geographically Weighted Regression (GWR) Sari, Rida Purnama; Winanda, Rara Sandhy
Journal of Mathematics UNP Vol 8, No 3 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i3.15057

Abstract

Stunting affects children's growth, with the number of cases of stunting under five in Indonesia amounting to 21.6 percent in 2022. Each province in Indonesia has different stunting rates. So a solution is needed to find out the right factors as a form of prevention of cases of stunting toddlers. This study uses geographically weighted regression in modeling the stunting rate, with variables that are assumed to influence it. Based on the spatial heterogeneity test, the stunting rate among toddlers varies in each region. Furthermore, several regional groups were formed based on significant variables. The first group is provinces that do not have explanatory variables that affect stunting rates in children under five. Meanwhile, the second group showed Low Birth Weight (LBW) as an influencing variable and the third group consisted of exclusive breastfeeding and Low Birth Weight (LBW) as a variable affecting stunting rates in toddlers.
Model Matematika Penyakit Busuk Buah Kakao dengan Pengaruh Pengendalian Fungisida Nabati Lengkuas Pangaribuan, Yohanes Mangasitua; winanda, rara sandhy
Journal of Mathematics UNP Vol 9, No 2 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i2.15705

Abstract

The cocoa fruit rot disease can be caused by the fungus Phytophthora palmivora. One way to prevent this disease is by using the galangal-based botanical fungicide. This research aims to understand the dynamics of cocoa fruit rot disease spread in a cocoa plant population with the influence of galangal-based botanical fungicide application. In the obtained model, equilibrium points are determined, and local stability analysis is conducted around these equilibrium points. The study also identifies critical points, represented by parameters that play a crucial role in stability changes within the given system. Analytical results are supported by numerical simulations, using parameter values obtained from relevant journals. Based on the analysis, there are two equilibrium points: the disease-free equilibrium point and the endemic equilibrium point. The disease spread analysis is influenced by the parameter value . If , the cocoa population remains free from disease spread, and conversely, if , the disease will spread in the population.
Optimasi Pendistribusian Beras Bansos Menggunakan Metode Improved Zero Point di Perum Bulog Kantor Cabang Padang Sidempuan BATUBARA, RISKA AMALIA; Winanda, Rara Sandhy
Journal of Mathematics UNP Vol 9, No 1 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i1.15448

Abstract

Social Assistance Rice is a type of Government Rice Reserve rice which is provided free of charge to Beneficiary Families. Perum Bulog Padang Sidempuan Branch Office is tasked with providing and distributing Social Assistance Rice to destination Regency orCity. In distributing social assistance rice to destination areas, it costsquite a lot, namely Rp. 178.843.350. This includes transportation problems that can be solved using transportation methods. The application of the transportation method means obtaining an allocation of distribution of goods that can minimize total transportation costs. One method of transportation is the Improved Zero Point method which is a direct method without looking for an initial solution first and this method is good and efficient to use to get the optimal solution. From calculations using the Improved Zero Point method, the costs incurred are Rp. 177.971.180. So implementing this method can save distribution costs of Rp. 872.170.
Analisis Kestabilan Model Matematika Dinamika Penyebaran Rumor melalui Media Sosial dan Verbal Fauziah, Helena; Winanda, Rara Sandhy
Journal of Mathematics UNP Vol 9, No 2 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i2.15703

Abstract

Rumor, unverified information, propagate swiftly through word of mouth and social media. This research will discuss a mathematical model of the dynamics of rumor spreading through social media and verbal with four compartments, namely I, M, G and R. This is referred to a basic research (theoretical) using descriptive method. The results of this research indicate that the rumor-free equilibrium point is asymptotically stable if it satisfies the conditions, meaning that no rumor spreads in the population; the rumor-endemic equilibrium point through verbal is asymptotically stable if it satisfies the conditions, meaning that rumors spread but only through verbal in the population; and the rumor-endemic equilibrium point through media is asymptotically stable if it satisfies the conditions, meaning that rumors spread but only through media in the population.
Optimasi Perencanaan Produksi Usaha Keripik Sanjai Rina Menggunakan Pendekatan De Novo Programming Oktavia, Bella; Winanda, Rara Sandhy
Journal of Mathematics UNP Vol 8, No 3 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i3.14976

Abstract

One important part of industry is production planning. Production planning is a strategy to determine how many products to produce and how many resources are needed to make these products. By using the De Novo Programming approach, this research aims to determine the right production planning in the Business of Keripik Sanjai Rina so that the maximum profit is obtained. The De Novo Programming approach can determine the best combination of output and proposed use of resources based on the available budget. This approach can be solved using the simplex method. The results showed that the optimal number of products and the amount of raw material purchases were obtained so that the profit obtained by the Business of Keripik Sanjai Rina increased by 35%.
Peramalan Hasil Produksi Padi di Kota Pariaman Menggunakan Metode Autoregressive Moving Average (ARMA) Khairani, Yasyfin Ikrima; Helma, Helma; Winanda, Rara Sandhy
Journal of Mathematics UNP Vol 10, No 1 (2025): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v10i1.16934

Abstract

Rice is the main commodity that supports national food security and fulfills the consumption needs of most of the Indonesian population. Rice production faces many persistent problems, such as yield fluctuations, pest and disease attacks, and environmental changes. One example is the conversion of agricultural areas into residential and industrial areas, which causes rice production to decline. The purpose of this research is to use the Autoregressive Moving Average (ARMA) approach to develop a forecasting model of Pariaman City’s rice production and forecast the results for 2024 in a monthly period. This applied research uses secondary data obtained from the official website of the Pariaman City Statistics Agency. The best forecasting model results are achieved with the ARMA (1,2) model which produces the smallest MSE value of 96.6965. The model form is $$Y_t = 1.00048Y_{t-1} + \varepsilon_t + 0.443\varepsilon_{t-1} + 0.493\varepsilon_{t-2}$$.
Analisis Pengendalian Biaya Persediaan Bahan Baku dengan Metode Material Requirement Planning (MRP) pada Toko Tommy Alumunium Fadhilah, Muhammad; Winanda, Rara Sandhy
Journal of Mathematics UNP Vol 9, No 4 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i4.16852

Abstract

Getting maximum profit is the main goal of every company. To achieve this goal, it is important for companies to control raw material inventory. Tommy Alumunium Store is a furniture industry company that produces various kinds of furniture products, one of which is cabinets. The existence of an uncertain amount of demand can result in the company experiencing excess or shortage of inventory from the amount of demand. So that research will be conducted to control raw material inventory and determine the total inventory costs that must be incurred by the company using the Material Requirement Planning method. The lot sizing used is the Lot for Lot technique, Economic Order Quantity and Period Order Quantity. This research is applied research. This study found that the most effective technique to apply is Lot for Lot, because it results in the minimum cost. With this Lot for Lot technique, the company can save inventory costs of Rp. 7,644,339 or 51.46% of the total inventory costs owned by Tommy Alumunium Store.