Optimization of Pertamax Fuel Distribution Using Clarke-Wright Savings, Nearest Neighbour, and Goal Programming (Case Study: Malang City)

Fuel distribution optimization is crucial to meet growing demand and reduce operational costs, especially in cities like Malang, where vehicle numbers are increasing. This research addresses the distribution challenges of PT Pertamina, focusing on designing efficient routes to minimize distance, cos...

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Main Authors: Tharisa Melani, Sobri Abusini, Marjono Marjono
Format: Article
Language:English
Published: Mathematics Department UIN Maulana Malik Ibrahim Malang 2025-03-01
Series:Cauchy: Jurnal Matematika Murni dan Aplikasi
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Online Access:https://ejournal.uin-malang.ac.id/index.php/Math/article/view/31529
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author Tharisa Melani
Sobri Abusini
Marjono Marjono
author_facet Tharisa Melani
Sobri Abusini
Marjono Marjono
author_sort Tharisa Melani
collection DOAJ
description Fuel distribution optimization is crucial to meet growing demand and reduce operational costs, especially in cities like Malang, where vehicle numbers are increasing. This research addresses the distribution challenges of PT Pertamina, focusing on designing efficient routes to minimize distance, cost, and delivery time while meeting fuel demands effectively. The problem, classified as a Capacitated Vehicle Routing Problem (CVRP), is solved using the Clarke-Wright Savings (CWS), Nearest Neighbour (NN), and Goal Programming (GP). The CWS is applied to group routes efficiently by reducing travel distances, while NN determined the delivery sequence within each route. GP addressed multi-objective optimization, minimizing costs and delivery time, maximizing Pertashop demands, and optimizing vehicle use. The results show that the combination of CWS and NN algorithms reduced the total travel distance by 140 km, or 12.5% reduction. Additionally, the GP method optimized vehicle use to 13, achieving a 59.68% cost reduction and a 48.68% time savings. These findings highlight the effectiveness of combining these algorithms in fuel distribution optimization, providing a more efficient solution compared to existing routes. Moreover, this approach is adaptable to similar logistics problems, offering a foundation for further research in multi-objective optimization for distribution systems.
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publishDate 2025-03-01
publisher Mathematics Department UIN Maulana Malik Ibrahim Malang
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spelling doaj-art-2f89131ffc3a43a48aece75736fd22002025-08-20T02:13:45ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442025-03-0110131232510.18860/cauchy.v10i1.315298662Optimization of Pertamax Fuel Distribution Using Clarke-Wright Savings, Nearest Neighbour, and Goal Programming (Case Study: Malang City)Tharisa Melani0Sobri Abusini1Marjono Marjono2Brawijaya UniversityBrawijaya UniversityBrawijaya UniversityFuel distribution optimization is crucial to meet growing demand and reduce operational costs, especially in cities like Malang, where vehicle numbers are increasing. This research addresses the distribution challenges of PT Pertamina, focusing on designing efficient routes to minimize distance, cost, and delivery time while meeting fuel demands effectively. The problem, classified as a Capacitated Vehicle Routing Problem (CVRP), is solved using the Clarke-Wright Savings (CWS), Nearest Neighbour (NN), and Goal Programming (GP). The CWS is applied to group routes efficiently by reducing travel distances, while NN determined the delivery sequence within each route. GP addressed multi-objective optimization, minimizing costs and delivery time, maximizing Pertashop demands, and optimizing vehicle use. The results show that the combination of CWS and NN algorithms reduced the total travel distance by 140 km, or 12.5% reduction. Additionally, the GP method optimized vehicle use to 13, achieving a 59.68% cost reduction and a 48.68% time savings. These findings highlight the effectiveness of combining these algorithms in fuel distribution optimization, providing a more efficient solution compared to existing routes. Moreover, this approach is adaptable to similar logistics problems, offering a foundation for further research in multi-objective optimization for distribution systems.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/31529clarke-wright savingsdistributionfuel oilgoal programmingnearest neighbour
spellingShingle Tharisa Melani
Sobri Abusini
Marjono Marjono
Optimization of Pertamax Fuel Distribution Using Clarke-Wright Savings, Nearest Neighbour, and Goal Programming (Case Study: Malang City)
Cauchy: Jurnal Matematika Murni dan Aplikasi
clarke-wright savings
distribution
fuel oil
goal programming
nearest neighbour
title Optimization of Pertamax Fuel Distribution Using Clarke-Wright Savings, Nearest Neighbour, and Goal Programming (Case Study: Malang City)
title_full Optimization of Pertamax Fuel Distribution Using Clarke-Wright Savings, Nearest Neighbour, and Goal Programming (Case Study: Malang City)
title_fullStr Optimization of Pertamax Fuel Distribution Using Clarke-Wright Savings, Nearest Neighbour, and Goal Programming (Case Study: Malang City)
title_full_unstemmed Optimization of Pertamax Fuel Distribution Using Clarke-Wright Savings, Nearest Neighbour, and Goal Programming (Case Study: Malang City)
title_short Optimization of Pertamax Fuel Distribution Using Clarke-Wright Savings, Nearest Neighbour, and Goal Programming (Case Study: Malang City)
title_sort optimization of pertamax fuel distribution using clarke wright savings nearest neighbour and goal programming case study malang city
topic clarke-wright savings
distribution
fuel oil
goal programming
nearest neighbour
url https://ejournal.uin-malang.ac.id/index.php/Math/article/view/31529
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AT sobriabusini optimizationofpertamaxfueldistributionusingclarkewrightsavingsnearestneighbourandgoalprogrammingcasestudymalangcity
AT marjonomarjono optimizationofpertamaxfueldistributionusingclarkewrightsavingsnearestneighbourandgoalprogrammingcasestudymalangcity