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Model Multi Objektif untuk Pemilihan Supplier Industri CPO pada Jaringan Rantai Pasokan Ramah Lingkungan dengan Ketidakpastian Pasokan Habibi, Rizki; Panjaitan, Arie Candra
Indo-MathEdu Intellectuals Journal Vol. 5 No. 1 (2024): Indo-MathEdu Intellectuals Journal
Publisher : Lembaga Intelektual Muda (LIM) Maluku

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54373/imeij.v5i1.885

Abstract

This study proposes a mathematical model for the problem of selecting suppliers for the palm oil industry by considering the green factor. Stochastic parameters are also considered to deal with uncertain parameters in green supply chain networks. The objective of this model is to select suppliers considering the total costs and total greenhouse gas emissions. This paper aims to present a more comprehensive model based on real-world conditions for the supplier selection problem of green supply chain in the palm oil industries under uncertainty. Besides economic issues, environmental issues are also considered from several aspects such as selecting environmentally friendly suppliers and purchasing from them and considering the environmental impact of the finished product. The results show that increasing one of the indicators such as the number of products and market demand leads to an increase in the value of the total objective function, which is caused by an increase in problem size. On the other hand, the cost function increases when most supplier selection is environmentally friendly suppliers. Meanwhile, the function of the objective level of greenhouse gas emissions increases when the selection of suppliers is most suppliers with high greenhouse gas emissions, but the objective function of costs decreases
Analisis Sensitivitas dan Dualitas Program Linear Metode Simpleks untuk Optimalisasi Keuntungan Penjualan Nasi Kuning dan Nasi Goreng Habibi, Rizki; Panjaitan, Arie Candra; Octariani, Dhia
Indo-MathEdu Intellectuals Journal Vol. 5 No. 4 (2024): Indo-MathEdu Intellectuals Journal
Publisher : Lembaga Intelektual Muda (LIM) Maluku

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54373/imeij.v5i4.1499

Abstract

This study presents a secondary analysis of the optimization of yellow rice and fried rice production at Ibu Hamina's shop using the linear programming method. Previously, optimization was carried out using a graphical method but did not conduct a sensitivity analysis to evaluate the impact of changes in production parameters on the optimal solution. The method used is a more sophisticated simplex method, while simultaneously conducting duality analysis to understand shadow prices and resource efficiency by evaluating the relationship between primal and dual problems, and evaluating the impact of changes in production parameters on optimal solutions by conducting sensitivity analysis. The results of this study show that the optimal solution is achieved by producing 7 packages of yellow rice and 3 packages of fried rice per week, resulting in a maximum profit of IDR 7,350,000.00 per week; which is IDR 1,050,000 higher than the results of previous research. The duality analysis shows the consistency of the optimal value between the primal and dual problems. The sensitivity analysis shows that small changes in parameters can affect the value of the objective function. This study shows that the simplex method is effective in optimizing the production of yellow rice and fried rice, providing a more significant maximum profit
Model Multi Objektif untuk Pemilihan Supplier Industri CPO pada Jaringan Rantai Pasokan Ramah Lingkungan dengan Ketidakpastian Pasokan Habibi, Rizki; Panjaitan, Arie Candra
Indo-MathEdu Intellectuals Journal Vol. 5 No. 1 (2024): Indo-MathEdu Intellectuals Journal
Publisher : Lembaga Intelektual Muda (LIM) Maluku

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54373/imeij.v5i1.885

Abstract

This study proposes a mathematical model for the problem of selecting suppliers for the palm oil industry by considering the green factor. Stochastic parameters are also considered to deal with uncertain parameters in green supply chain networks. The objective of this model is to select suppliers considering the total costs and total greenhouse gas emissions. This paper aims to present a more comprehensive model based on real-world conditions for the supplier selection problem of green supply chain in the palm oil industries under uncertainty. Besides economic issues, environmental issues are also considered from several aspects such as selecting environmentally friendly suppliers and purchasing from them and considering the environmental impact of the finished product. The results show that increasing one of the indicators such as the number of products and market demand leads to an increase in the value of the total objective function, which is caused by an increase in problem size. On the other hand, the cost function increases when most supplier selection is environmentally friendly suppliers. Meanwhile, the function of the objective level of greenhouse gas emissions increases when the selection of suppliers is most suppliers with high greenhouse gas emissions, but the objective function of costs decreases
The Influence of Cognitive Style on Abstraction Ability and Mathematical Problem-Solving in Problem-Based Learning Habeahan, Winmery Lasma; Malik, Meilisa; Firdaus, Muhammad Huda; Panjaitan, Arie Candra
ALACRITY : Journal of Education Volume 5 Nomor 1 Februari 2025
Publisher : LPPPI Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52121/alacrity.v5i1.677

Abstract

This article explores the influence of cognitive style on abstraction ability and mathematical problem-solving skills in Problem-Based Learning (PBL). Cognitive style, which reflects how individuals process and organize information, is hypothesized to play a significant role in determining students' success in understanding abstract concepts and solving mathematical problems. This study employs a quantitative method involving secondary-level students as participants. The research instruments include cognitive style tests, abstraction ability tests, and mathematical problem-solving tests. The results indicate that students with an analytical cognitive style tend to have higher abstraction abilities and better performance in mathematical problem-solving compared to those with a holistic cognitive style. These findings suggest that cognitive style influences the effectiveness of problem-based learning, particularly in subjects requiring logical and abstract thinking, such as mathematics. The implications of this research highlight the importance of educators recognizing and accommodating the diversity of students' cognitive styles when designing learning strategies. Furthermore, the study suggests the need to develop more flexible and inclusive learning approaches to maximize each student's learning potential. This article contributes to understanding how individual factors, such as cognitive style, can influence learning outcomes, particularly in the context of PBL.
MODEL MATEMATIKA UNTUK PENUGASAN EFISIEN MAHASISWA PKL (PRAKTEK KERJA LAPANGAN) MENGGUNAKAN METODE HUNGARIAN Panjaitan, Arie Candra; Octariani, Dhia; Afnaria, Afnaria
Asimetris: Jurnal Pendidikan Matematika dan Sains Vol 6 No 1 (2025): Asimetris: Jurnal Pendidikan Matematika dan Sains
Publisher : Pendidikan Matematika Universitas Almuslim

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51179/asimetris.v6i1.3343

Abstract

Penelitian ini bertujuan untuk mengembangkan dan mengimplementasikan model penugasan mahasiswa Praktek Kerja Lapangan (PKL) berbasis algoritma Hungarian guna meningkatkan efisiensi, keadilan, dan transparansi dalam proses penempatan ke mitra industri. Permasalahan penempatan selama ini yang bersifat subjektif dan administratif dianggap kurang optimal dan tidak selaras dengan kebutuhan dunia industri. Penelitian menggunakan pendekatan kuantitatif dengan merumuskan assignment problem dalam bentuk matriks biaya, berdasarkan tiga indikator utama: kecocokan kompetensi, preferensi lokasi, dan jarak geografis. Algoritma Hungarian diaplikasikan untuk memperoleh solusi optimal dengan biaya penugasan minimum.Hasil penelitian menunjukkan bahwa model penugasan yang dikembangkan berhasil meningkatkan efisiensi penempatan mahasiswa secara signifikan dibandingkan metode konvensional. Evaluasi menunjukkan peningkatan efisiensi biaya sebesar 18%, tingkat kecocokan sebesar 25%, serta peningkatan kepuasan mahasiswa dan mitra masing-masing sebesar 20% dan 19%. Matriks biaya yang disusun berdasarkan indikator terukur memberikan dasar objektif dalam proses penempatan, dan algoritma Hungarian mampu menyelesaikan kompleksitas penugasan satu-satu dengan hasil yang optimal. Simpulan dari penelitian ini adalah bahwa metode Hungarian merupakan pendekatan matematis yang tepat, praktis, dan layak diadopsi oleh institusi pendidikan vokasi sebagai sistem penugasan berbasis data dalam rangka mendukung keberhasilan program PKL dan memperkuat kemitraan dengan dunia industri.  
The Influence of Cognitive Style on Abstraction Ability and Mathematical Problem-Solving in Problem-Based Learning Habeahan, Winmery Lasma; Malik, Meilisa; Firdaus, Muhammad Huda; Panjaitan, Arie Candra
ALACRITY : Journal of Education Volume 5 Nomor 1 Februari 2025
Publisher : LPPPI Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52121/alacrity.v5i1.677

Abstract

This article explores the influence of cognitive style on abstraction ability and mathematical problem-solving skills in Problem-Based Learning (PBL). Cognitive style, which reflects how individuals process and organize information, is hypothesized to play a significant role in determining students' success in understanding abstract concepts and solving mathematical problems. This study employs a quantitative method involving secondary-level students as participants. The research instruments include cognitive style tests, abstraction ability tests, and mathematical problem-solving tests. The results indicate that students with an analytical cognitive style tend to have higher abstraction abilities and better performance in mathematical problem-solving compared to those with a holistic cognitive style. These findings suggest that cognitive style influences the effectiveness of problem-based learning, particularly in subjects requiring logical and abstract thinking, such as mathematics. The implications of this research highlight the importance of educators recognizing and accommodating the diversity of students' cognitive styles when designing learning strategies. Furthermore, the study suggests the need to develop more flexible and inclusive learning approaches to maximize each student's learning potential. This article contributes to understanding how individual factors, such as cognitive style, can influence learning outcomes, particularly in the context of PBL.
MODEL MATEMATIKA UNTUK PENUGASAN EFISIEN MAHASISWA PKL (PRAKTEK KERJA LAPANGAN) MENGGUNAKAN METODE HUNGARIAN Panjaitan, Arie Candra; Octariani, Dhia; Afnaria, Afnaria
Asimetris: Jurnal Pendidikan Matematika dan Sains Vol. 6 No. 1 (2025): Asimetris: Jurnal Pendidikan Matematika dan Sains
Publisher : Pendidikan Matematika Universitas Almuslim

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51179/asimetris.v6i1.3343

Abstract

Penelitian ini bertujuan untuk mengembangkan dan mengimplementasikan model penugasan mahasiswa Praktek Kerja Lapangan (PKL) berbasis algoritma Hungarian guna meningkatkan efisiensi, keadilan, dan transparansi dalam proses penempatan ke mitra industri. Permasalahan penempatan selama ini yang bersifat subjektif dan administratif dianggap kurang optimal dan tidak selaras dengan kebutuhan dunia industri. Penelitian menggunakan pendekatan kuantitatif dengan merumuskan assignment problem dalam bentuk matriks biaya, berdasarkan tiga indikator utama: kecocokan kompetensi, preferensi lokasi, dan jarak geografis. Algoritma Hungarian diaplikasikan untuk memperoleh solusi optimal dengan biaya penugasan minimum.Hasil penelitian menunjukkan bahwa model penugasan yang dikembangkan berhasil meningkatkan efisiensi penempatan mahasiswa secara signifikan dibandingkan metode konvensional. Evaluasi menunjukkan peningkatan efisiensi biaya sebesar 18%, tingkat kecocokan sebesar 25%, serta peningkatan kepuasan mahasiswa dan mitra masing-masing sebesar 20% dan 19%. Matriks biaya yang disusun berdasarkan indikator terukur memberikan dasar objektif dalam proses penempatan, dan algoritma Hungarian mampu menyelesaikan kompleksitas penugasan satu-satu dengan hasil yang optimal. Simpulan dari penelitian ini adalah bahwa metode Hungarian merupakan pendekatan matematis yang tepat, praktis, dan layak diadopsi oleh institusi pendidikan vokasi sebagai sistem penugasan berbasis data dalam rangka mendukung keberhasilan program PKL dan memperkuat kemitraan dengan dunia industri.  
Model Multi Objektif untuk Pemilihan Supplier Industri CPO pada Jaringan Rantai Pasokan Ramah Lingkungan dengan Ketidakpastian Pasokan Habibi, Rizki; Panjaitan, Arie Candra
Indo-MathEdu Intellectuals Journal Vol. 5 No. 1 (2024): Indo-MathEdu Intellectuals Journal
Publisher : Lembaga Intelektual Muda (LIM) Maluku

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54373/imeij.v5i1.885

Abstract

This study proposes a mathematical model for the problem of selecting suppliers for the palm oil industry by considering the green factor. Stochastic parameters are also considered to deal with uncertain parameters in green supply chain networks. The objective of this model is to select suppliers considering the total costs and total greenhouse gas emissions. This paper aims to present a more comprehensive model based on real-world conditions for the supplier selection problem of green supply chain in the palm oil industries under uncertainty. Besides economic issues, environmental issues are also considered from several aspects such as selecting environmentally friendly suppliers and purchasing from them and considering the environmental impact of the finished product. The results show that increasing one of the indicators such as the number of products and market demand leads to an increase in the value of the total objective function, which is caused by an increase in problem size. On the other hand, the cost function increases when most supplier selection is environmentally friendly suppliers. Meanwhile, the function of the objective level of greenhouse gas emissions increases when the selection of suppliers is most suppliers with high greenhouse gas emissions, but the objective function of costs decreases
Analisis Sensitivitas dan Dualitas Program Linear Metode Simpleks untuk Optimalisasi Keuntungan Penjualan Nasi Kuning dan Nasi Goreng Habibi, Rizki; Panjaitan, Arie Candra; Octariani, Dhia
Indo-MathEdu Intellectuals Journal Vol. 5 No. 4 (2024): Indo-MathEdu Intellectuals Journal
Publisher : Lembaga Intelektual Muda (LIM) Maluku

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54373/imeij.v5i4.1499

Abstract

This study presents a secondary analysis of the optimization of yellow rice and fried rice production at Ibu Hamina's shop using the linear programming method. Previously, optimization was carried out using a graphical method but did not conduct a sensitivity analysis to evaluate the impact of changes in production parameters on the optimal solution. The method used is a more sophisticated simplex method, while simultaneously conducting duality analysis to understand shadow prices and resource efficiency by evaluating the relationship between primal and dual problems, and evaluating the impact of changes in production parameters on optimal solutions by conducting sensitivity analysis. The results of this study show that the optimal solution is achieved by producing 7 packages of yellow rice and 3 packages of fried rice per week, resulting in a maximum profit of IDR 7,350,000.00 per week; which is IDR 1,050,000 higher than the results of previous research. The duality analysis shows the consistency of the optimal value between the primal and dual problems. The sensitivity analysis shows that small changes in parameters can affect the value of the objective function. This study shows that the simplex method is effective in optimizing the production of yellow rice and fried rice, providing a more significant maximum profit