Artificial Bee Colony Algorithm with Pareto-Based Approach for Multi-Objective Three-Dimensional Single Container Loading Problems
The ongoing container shortage crisis has presented significant challenges for the freight forwarding industry, requiring companies to implement adaptive measures in order to maintain peak operational efficiency. This article presents a novel mathematical model and artificial bee colony algorithm (A...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/11/6601 |
| _version_ | 1797597870652653568 |
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| author | Suriya Phongmoo Komgrit Leksakul Nivit Charoenchai Chawis Boonmee |
| author_facet | Suriya Phongmoo Komgrit Leksakul Nivit Charoenchai Chawis Boonmee |
| author_sort | Suriya Phongmoo |
| collection | DOAJ |
| description | The ongoing container shortage crisis has presented significant challenges for the freight forwarding industry, requiring companies to implement adaptive measures in order to maintain peak operational efficiency. This article presents a novel mathematical model and artificial bee colony algorithm (ABC) with a Pareto-based approach to solve single-container-loading problems. The goal is to fit a set of boxes with strongly heterogeneous boxes into a container with a specific dimension to minimize the broken space and maximize profits. Furthermore, the proposed algorithm incorporates the bottom-left fill method, which is a heuristic strategy for packing containers. We conducted numerical testing to identify optimal parameters using the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mrow><mi>C</mi></mrow><mo>~</mo></mover></mrow></semantics></math></inline-formula> metric method. Subsequently, we evaluated the performance of our proposed algorithm by comparing it to other heuristics and meta-heuristic approaches using the relative improvement (RI) value. Our analysis showed that our algorithm outperformed the other approaches and achieved the best results. These results demonstrate the effectiveness of the proposed algorithm in solving real-world single-container-loading problems for freight forwarding companies. |
| first_indexed | 2024-03-11T03:11:30Z |
| format | Article |
| id | doaj.art-6a0e721efe484412b67a54d6d8c128fc |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T03:11:30Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-6a0e721efe484412b67a54d6d8c128fc2023-11-18T07:34:17ZengMDPI AGApplied Sciences2076-34172023-05-011311660110.3390/app13116601Artificial Bee Colony Algorithm with Pareto-Based Approach for Multi-Objective Three-Dimensional Single Container Loading ProblemsSuriya Phongmoo0Komgrit Leksakul1Nivit Charoenchai2Chawis Boonmee3Graduate Program in Industrial Engineering, Department of Industrial Engineering, Faculty of Engineering, Chiang Mai University, Chiang Mai 50200, ThailandSupply Chain and Engineering Management Research Unit, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Industrial Engineering, Faculty of Engineering, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Industrial Engineering, Faculty of Engineering, Chiang Mai University, Chiang Mai 50200, ThailandThe ongoing container shortage crisis has presented significant challenges for the freight forwarding industry, requiring companies to implement adaptive measures in order to maintain peak operational efficiency. This article presents a novel mathematical model and artificial bee colony algorithm (ABC) with a Pareto-based approach to solve single-container-loading problems. The goal is to fit a set of boxes with strongly heterogeneous boxes into a container with a specific dimension to minimize the broken space and maximize profits. Furthermore, the proposed algorithm incorporates the bottom-left fill method, which is a heuristic strategy for packing containers. We conducted numerical testing to identify optimal parameters using the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mrow><mi>C</mi></mrow><mo>~</mo></mover></mrow></semantics></math></inline-formula> metric method. Subsequently, we evaluated the performance of our proposed algorithm by comparing it to other heuristics and meta-heuristic approaches using the relative improvement (RI) value. Our analysis showed that our algorithm outperformed the other approaches and achieved the best results. These results demonstrate the effectiveness of the proposed algorithm in solving real-world single-container-loading problems for freight forwarding companies.https://www.mdpi.com/2076-3417/13/11/6601artificial bee colonymulti-objectivessingle-container-loading problem |
| spellingShingle | Suriya Phongmoo Komgrit Leksakul Nivit Charoenchai Chawis Boonmee Artificial Bee Colony Algorithm with Pareto-Based Approach for Multi-Objective Three-Dimensional Single Container Loading Problems Applied Sciences artificial bee colony multi-objectives single-container-loading problem |
| title | Artificial Bee Colony Algorithm with Pareto-Based Approach for Multi-Objective Three-Dimensional Single Container Loading Problems |
| title_full | Artificial Bee Colony Algorithm with Pareto-Based Approach for Multi-Objective Three-Dimensional Single Container Loading Problems |
| title_fullStr | Artificial Bee Colony Algorithm with Pareto-Based Approach for Multi-Objective Three-Dimensional Single Container Loading Problems |
| title_full_unstemmed | Artificial Bee Colony Algorithm with Pareto-Based Approach for Multi-Objective Three-Dimensional Single Container Loading Problems |
| title_short | Artificial Bee Colony Algorithm with Pareto-Based Approach for Multi-Objective Three-Dimensional Single Container Loading Problems |
| title_sort | artificial bee colony algorithm with pareto based approach for multi objective three dimensional single container loading problems |
| topic | artificial bee colony multi-objectives single-container-loading problem |
| url | https://www.mdpi.com/2076-3417/13/11/6601 |
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