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Optimalisasi Laporan Keuangan PT. Pegadaian dengan Pendekatan Metode Lexicographic Goal Programming dan Simpleks yang Dimodifikasi Sri Basriati; Elfira Safitri; Nurul Izzah
Square : Journal of Mathematics and Mathematics Education Vol 3, No 1 (2021)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2021.3.1.6409

Abstract

PT. Pegadaian merupakan lembaga keuangan yang melayani masyarakat untuk mendapatkan dana pinjaman. Setiap lembaga keuangan harus membuat laporan keuangan sebagai suatu bentuk pertanggungjawaban atas hasil kinerja dalam periode tertentu. Laporan keuangan PT. Pegadaian tersebut akan dianalisa menggunakan model goal programming. Metode yang digunakan dalam penyelesaian model goal programming tersebut yaitu metode lexicographic goal programming dan simpleks yang dimodifikasi untuk mendapatkan solusi optimal. Optimalisasi dengan metode lexicographic goal programming dilakukan dengan mendahulukan prioritas pertama hingga berikutnya, sedangkan metode simpleks yang dimodifikasi menganggap setiap prioritas sama pentingnya. Berdasarkan hasil penelitian bahwa kedua metode mendapatkan solusi optimal dan iterasi yang sama, yaitu sebanyak enam iterasi. Tujuan model yaitu, aset, liabilitas, ekuitas, pendapatan dan beban dapat dicapai. Berdasarkan lima tujuan tersebut, tiga tujuan seperti total ekuitas, total pendapatan dan total beban dapat diubah untuk meningkatkan kinerja laporan keuangan. Total ekuitas dapat ditingkatkan sebesar Rp. 3.186.129,- per tahun, total pendapatan dapat ditingkatkan sebesar Rp. 957.800,- dan total beban dapat diturunkan sebesar Rp. 436.141,- per tahun.Kata kunci: Goal Programming, Laporan Keuangan, Lexicographic dan Simpleks Modifikasi.
PENERAPAN PROGRAM LINIER MENGGUNAKAN METODE DUAL SIMPLEKS DAN METODE QUICK SIMPLEKS UNTUK MEMINIMUMKAN BIAYA (STUDI KASUS: KELOMPOK WANITA TANI (KWT) SENTOSA SANTUL) Elfira - Safitri; Sri Basriati; Elvina Andiani
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 1 (2021)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1972.245 KB) | DOI: 10.14710/jfma.v4i1.8879

Abstract

The Sentosa  Santul Women Farmers Group (KWT) is a group of women farmers in Dusun Santul, Kampar Utara District an is engaged in the field of food crops is chili. The Sentosa Santul Women Farmers group (KWT) uses 4 types of fertilizers for chili plant fertilization, namely hydro complex fertilizer, phonska, NPK Zamrud and goat manure.The KWT wants the minimum fertilizer cost but the nutrients in the plants are met. The method used in this research is the dual simplex method and the quick simplex method. The purpose of this study is to determine the minimum costs that must be incurred by the Womens Farmer Group (KWT) for fertilization using the dual simplex method and the quick simplex method to obtain an optimum and feasible solution. For the dual simplex method, the optimum and feasible solution were obtained using the Gauss Jordanelimination. While the quick simplex method, the solution is illustrated using a matrix to reduce the number of iterations needed to achieve the optimal solution. Based on the research result, it is found that the quick simplex method is more efficient than the dual simplex method. This can be seen from the number of iterations carried out. Dual simplex method iteration there are two iterations and quick simplex one iteration. The dual simplex method and the quick simplex method produce the same value.
Implementasi Algoritma Bellman-Ford dalam Menentukan Lintasan Terpendek Truk Pembuangan Sampah Sri Basriati; Elfira Safitri; She Arssy Yesti; Nilwan Andiraja
Seminar Nasional Teknologi Informasi Komunikasi dan Industri 2022: SNTIKI 14
Publisher : UIN Sultan Syarif Kasim Riau

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

Abstract

Persoalan menentukan lintasan terpendek berhubungan dengan jarak tempuh tercepat. Dalam kehidupan masyarakat di perkotaan hal ini sangat penting, seperti pada pengangkutan sampah. Untuk sampai ketempat tujuan, jumlah rute yang ditempuh akan menjadi patokan. Dengan ini dapat ditemukan titik mana saja yang ditempuh sehingga dapat mencapai titik tujuan dengan jarak yang singkat menggunakan algoritma Bellman-Ford. Penelitian ini menjelaskan tentang penentuan lintasan terpendek truk pembuangan sampah di kota Taluk Kuantan menggunakan algoritma Bellman-Ford. Langkah-langkah pada metode ini yaitu mengubah peta menjadi graf berarah dan berbobot, menentukan titik awal dan titik akhir, memberi tanda 0 pada titik awal dan tanda pada titik yang lainnya, melakukan iterasi secara berulang dimulai dari titik awal hingga ke titik akhir atau tujuan. Tujuan dari penelitian ini yaitu menentukan lintasan terpendek agar waktu dan biaya yang terpakai lebih efisien. Data diperoleh berupa TPS yang dikunjungi truk pembuangan sampah setiap harinya, dimulai dari kantor Dinas Lingkungan Hidup Kuantan Singingi hingga ke TPA sentajo. Hasil penelitian menunjukkan bahwa terdapat 1 lintasan terpendek dari Kantor Dinas Lingkungan Hidup Kuantan Singingi  ke TPA sentajo dengan jarak tempuh minimum 17,2 km. Kata kunci: Algoritma Bellman-Ford, lintasan terpendek, rute
Faktor-Faktor yang Mempengaruhi Kejadian Stunting terhadap Balita menggunakan Analisis Regresi Logistik Elfira Safitri; Sri Basriati; Septia Mulyani
Zeta - Math Journal Vol 7 No 2 (2022): Juni 2022 - November 2022
Publisher : Universitas Islam Madura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31102/zeta.2022.7.2.47-52

Abstract

Stunting is a condition of failure to thrive in toddlers due to chronic malnutrition, resulting in toddlers or children being too short for their age standards. The purpose of the study was to determine the factors that influence the incidence of stunting to toddlers at the Public Health Center Kasih Ibu airtiris, kampar. The method used in this study is the binary logistic regression method. Based on the results of the study indicate that the factors that influence the incidence of stunting in toddlers at Public Health Center Kasih Ibu airtiris, kampar namely the nutritional status of body weight based on age. The binary logistic equation with the resulting logit function is . The value of the determination of the classification of stunting events using binary logistic regression is 83,6%.
Optimization of Drinking Water Distribution Costs Using Vogel's Approximation Method (VAM) and Three Modified Methods of VAM (Case Study: Sikumbang Kampar Spring) Sri Basriati; Elfira Safitri; Dewi Sartika
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 5 No. 2 (2021)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v5i2.1419

Abstract

Distribution system Springs Sikumbang Kampar is from the primary seller, and the distributor distributes it to the public. The Sikumbang Kampar Springs distributor is experiencing the problem of increasing the cost of distribution because it does not have a distribution pattern. Therefore, it takes a transportation model to complain distribution problems experienced by the distributor of Springs Sikumbang Kampar. The research was conducted to obtain the minimum cost in distributing the drinking water to help distributors solve these problems. For this reason, a method is needed in compiling a mathematical model appropriate to the distribution problem. The methods used in the study are Vogel's Approximation Method (VAM), Improved Vogel's Approximation Method (IVAM), Max-Min Vogel's Approximation Method (MM-VAM), and Modified Vogel's Approximation Method (MVAM). Based on the results of the study, Vogel's Approximation Method generates total cost different initial solutions. Vogel's Approximation Method is more efficient, as it has few iterations to obtain the optimal solution using the stepping stone method. Distributors can consider the use of Vogel's Approximation Method in optimizing the distribution costs of drinking water from Sikumbang Kampar Springs. Total distribution transportation costs Sikumbang Kampar Springs per week uses transportation model is Rp 4,580,485.00. This result is more optimal for transportation costs distributor, that is Rp 5.050.000.000,00, so there is a reduction in transportation for Rp 469,515.00.
Penerapan Mixed Integer Programming dalam Pengoptimalan Keuntungan pada D’Laundry Factory Pekanbaru Elfira Safitri; Sri Basriati; Khotimah Khotimah; Mohammad Soleh; Retno Ayu Puji Lestari; Nilwan Andiraja
Jurnal Sains Matematika dan Statistika Vol 9, No 1 (2023): JSMS Januari 2023
Publisher : Universitas Islam Negeri Sultan Syarif Kasim Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24014/jsms.v9i1.19755

Abstract

D’Laundry Factory is one of the businesses engaged in washing and ironing services. The problem that is often faced by laundry business owner is determining the amount of laundry items received by D’Laundry Factory to optimize maximum profits. The purpose of this study was to determine the combination of the number of laundry items received by the D’Laundry Factory to optimize profits using Mixed Integer Programming. The method used in this research is the Branch and Bound method. Based on the results of the study obtained that the DLaundry Factory Pekanbaru business received blanket 70 kg, bedcover 750 kg, dolls 20 kg, shoes 90 kg, bags 17,5 kg, helmets 30 kg, strollers 511 kg, curtains 200 kg, clothes 325.4 kg with a maximum profit of Rp.15.745.850.
Optimal Control of Vaccination for Dengue Fever in SIR Model Nilwan Andiraja; Sri Basriati; Elfira Safitri; Rahmadeni Rahmadeni; A Martino
KUBIK Vol 7, No 2 (2022): 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.v7i2.21397

Abstract

According to data from The Indonesian ministry of health, many of individuals suffere dengue fever until may 2023 in Indonesia. To reduce its cases, in this article, a single of control strategy of vaccination for infected human by dengue fever has been proposed. To obtain the optimal control, the SIR model has been modificated with single control and the new objective function has been made before the Pontryagin minimum principle is used in this article. According to the differential equation in the model of the dengue fever and the objective function, we made the Hamiltonian equation. Then, from it, the state equation, costate equation, and stationary condition has been made from the Hamiltonian equation so we obtained the optimal control in vaccination. In the end of this article, we did the numerical simulation using the sweep forward-backward method. Through numerical simulation, we find that the control succeed to reduce the infected human by dengue fever and also increase human recovery from this desease. Futhermore, the control of vaccination for infected human should be implemented not only in this mathematical model but also into real life to decrease the dengue fever case. 
Optimal Control of Vaccination for Dengue Fever in SIR Model Nilwan Andiraja; Sri Basriati; Elfira Safitri; Rahmadeni Rahmadeni; Alfitra Martino
KUBIK Vol 7, No 2 (2022): 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.v7i2.21397

Abstract

According to data from The Indonesian ministry of health, many of individuals suffere dengue fever until may 2023 in Indonesia. To reduce its cases, in this article, a single of control strategy of vaccination for infected human by dengue fever has been proposed. To obtain the optimal control, the SIR model has been modificated with single control and the new objective function has been made before the Pontryagin minimum principle is used in this article. According to the differential equation in the model of the dengue fever and the objective function, we made the Hamiltonian equation. Then, from it, the state equation, costate equation, and stationary condition has been made from the Hamiltonian equation so we obtained the optimal control in vaccination. In the end of this article, we did the numerical simulation using the sweep forward-backward method. Through numerical simulation, we find that the control succeed to reduce the infected human by dengue fever and also increase human recovery from this desease. Futhermore, the control of vaccination for infected human should be implemented not only in this mathematical model but also into real life to decrease the dengue fever case. 
PENERAPAN PENUGASAN MULTI-OBJECTIVE UNTUK MENGOPTIMALKAN BIAYA, WAKTU DAN KUALITAS MENGGUNAKAN METODE HUNGARIAN Sri Basriati; Elfira Safitri; Muhammad Rizki
MAp (Mathematics and Applications) Journal Vol 5, No 1 (2023)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/map.v5i1.6118

Abstract

Various problems be facing by the company to get optimal results. One of them in this research is to optimize cost, time and quality simultaneous to get a minimal solution. The optimization of these problems uses the Hungarian method by applying multi-objective assignments. Based on the of the optimal solution results from one-objective, two-objective and three-objective assignments, these third-objective assignment is the best result. So that in the case example, the optimal solution is obtaining where the total cost incurred is Rp. 24,950,000. The total time required is 96 days. While the quality of the rattan flower vase is very good, the decorative lighting is very good and the mat is very good, the shelf is very good, the table is very good, the wardrobe is very good and the guest chair is very good.
Optimasi Biaya Pemupukan Tanaman Padi pada Kelompok Tani Rambahan Sakato, Desa Nyiur Melambai Pelangai menggunakan Metode Kuhn Tucker Elfira Safitri; Sri Basriati; Mohammad Soleh; Rahmi Yulanda
KUBIK Vol 8, No 1 (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.v8i1.18261

Abstract

The Rambahan Sakato Farmer Group, Nyiur Melambai Pelangai Village, West Sumatra is a farmer groups that produces various types of food, one of which is rice plants. One of the factors that support plants to grow optimally is the availabity of nutrients in sufficient quantities in the soil. There are four types of fertilizers used in the fertilization of rice plants, namely SP-36 fertilizer, Urea fertilizer, Phonska fertilizer and KCL fertilizer. This study aims to optimal solution in determining in amount of fertilizer in rice plants with the minimum cost using the Kuhn Tucker Method. The method used in this research is the Kuhn Tucker method. The solution to the Kuhn-Tucker method is the same as the Lagrange method, namely calculating the value (x, λ, S) and calculating the value of f (x). The process of finding values (x, λ, S) uses matrix multiplication. Based on the research results, it was found that the Rambahan Sakato farmer group needed to provide 1 sack of SP-36 fertilizer, 3 sacks of urea fertilizer, 16 sacks of Phonska fertilizer and did not need to provide KCL fertilizer at a minimum cost of Rp. 2,710,000.