Solusi optimal masalah transportasi biaya tetap menggunakan metode pendekatan tangga
One special case in transportation problems is the problem of fixed cost transportation, where in this transportation problem there are two cost components, namely fixed costs and variable costs. The difficulty encountered when solving the problem of fixed costs is caused by the behavior of these co...
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| Format: | Article |
| Language: | English |
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Department of Mathematics FMIPA University of Jember
2023-03-01
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| Series: | Majalah Ilmiah Matematika dan Statistika |
| Online Access: | https://jurnal.unej.ac.id/index.php/MIMS/article/view/36402 |
| _version_ | 1797838736414736384 |
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| author | Nizmi Fitri Rahayu Fahrudin Muhtarulloh Dian Nuraiman |
| author_facet | Nizmi Fitri Rahayu Fahrudin Muhtarulloh Dian Nuraiman |
| author_sort | Nizmi Fitri Rahayu |
| collection | DOAJ |
| description | One special case in transportation problems is the problem of fixed cost transportation, where in this transportation problem there are two cost components, namely fixed costs and variable costs. The difficulty encountered when solving the problem of fixed costs is caused by the behavior of these costs which do not depend on the number of units loaded/transported on the route traversed. The purpose of this study is to determine the optimal solution to the fixed cost transportation problem. This research uses Balinski's linear approach, namely the Stairs Approach Method. The case study used is unbalanced data measuring 3x8, where the fixed costs are vehicle rental costs and the variable costs are fuel. The optimal solution obtained is Rp. 11511.411.768.000,- (eleven trillion five hundred eleven million five hundred eleven billion four hundred eleven million seven hundred sixty-eight thousand rupiah). So it can be concluded that the Ladder Approach Method can be used to find the optimal solution to the fixed cost transportation problem.
Keywords:Fixed costs, transportation problems, stairs approach method, optimal solution
MSC2020:76N25 |
| first_indexed | 2024-04-09T15:46:46Z |
| format | Article |
| id | doaj.art-d6702da10a5541d5935ecdab26c46e9d |
| institution | Directory Open Access Journal |
| issn | 1411-6669 2722-9866 |
| language | English |
| last_indexed | 2024-04-09T15:46:46Z |
| publishDate | 2023-03-01 |
| publisher | Department of Mathematics FMIPA University of Jember |
| record_format | Article |
| series | Majalah Ilmiah Matematika dan Statistika |
| spelling | doaj.art-d6702da10a5541d5935ecdab26c46e9d2023-04-27T00:35:35ZengDepartment of Mathematics FMIPA University of JemberMajalah Ilmiah Matematika dan Statistika1411-66692722-98662023-03-01231273410.19184/mims.v23i1.3640236402Solusi optimal masalah transportasi biaya tetap menggunakan metode pendekatan tanggaNizmi Fitri Rahayu0Fahrudin Muhtarulloh1Dian Nuraiman2Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung DjatiJurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung DjatiJurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung DjatiOne special case in transportation problems is the problem of fixed cost transportation, where in this transportation problem there are two cost components, namely fixed costs and variable costs. The difficulty encountered when solving the problem of fixed costs is caused by the behavior of these costs which do not depend on the number of units loaded/transported on the route traversed. The purpose of this study is to determine the optimal solution to the fixed cost transportation problem. This research uses Balinski's linear approach, namely the Stairs Approach Method. The case study used is unbalanced data measuring 3x8, where the fixed costs are vehicle rental costs and the variable costs are fuel. The optimal solution obtained is Rp. 11511.411.768.000,- (eleven trillion five hundred eleven million five hundred eleven billion four hundred eleven million seven hundred sixty-eight thousand rupiah). So it can be concluded that the Ladder Approach Method can be used to find the optimal solution to the fixed cost transportation problem. Keywords:Fixed costs, transportation problems, stairs approach method, optimal solution MSC2020:76N25https://jurnal.unej.ac.id/index.php/MIMS/article/view/36402 |
| spellingShingle | Nizmi Fitri Rahayu Fahrudin Muhtarulloh Dian Nuraiman Solusi optimal masalah transportasi biaya tetap menggunakan metode pendekatan tangga Majalah Ilmiah Matematika dan Statistika |
| title | Solusi optimal masalah transportasi biaya tetap menggunakan metode pendekatan tangga |
| title_full | Solusi optimal masalah transportasi biaya tetap menggunakan metode pendekatan tangga |
| title_fullStr | Solusi optimal masalah transportasi biaya tetap menggunakan metode pendekatan tangga |
| title_full_unstemmed | Solusi optimal masalah transportasi biaya tetap menggunakan metode pendekatan tangga |
| title_short | Solusi optimal masalah transportasi biaya tetap menggunakan metode pendekatan tangga |
| title_sort | solusi optimal masalah transportasi biaya tetap menggunakan metode pendekatan tangga |
| url | https://jurnal.unej.ac.id/index.php/MIMS/article/view/36402 |
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