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Journal : Indo-MathEdu Intellectuals Journal

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
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