An Improved Hierarchical Genetic Algorithm for Sheet Cutting Scheduling with Process Constraints
For the first time, an improved hierarchical genetic algorithm for sheet cutting problem which involves n cutting patterns for m non-identical parallel machines with process constraints has been proposed in the integrated cutting stock model. The objective of the cutting scheduling problem is minimi...
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Language: | English |
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Wiley
2013-01-01
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Series: | The Scientific World Journal |
Online Access: | http://dx.doi.org/10.1155/2013/202683 |
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author | Yunqing Rao Dezhong Qi Jinling Li |
author_facet | Yunqing Rao Dezhong Qi Jinling Li |
author_sort | Yunqing Rao |
collection | DOAJ |
description | For the first time, an improved hierarchical genetic algorithm for sheet cutting problem which involves n cutting patterns for m non-identical parallel machines with process constraints has been proposed in the integrated cutting stock model. The objective of the cutting scheduling problem is minimizing the weighted completed time. A mathematical model for this problem is presented, an improved hierarchical genetic algorithm (ant colony—hierarchical genetic algorithm) is developed for better solution, and a hierarchical coding method is used based on the characteristics of the problem. Furthermore, to speed up convergence rates and resolve local convergence issues, a kind of adaptive crossover probability and mutation probability is used in this algorithm. The computational result and comparison prove that the presented approach is quite effective for the considered problem. |
format | Article |
id | doaj-art-b902b08a8b424ff2891847d8b5a4526a |
institution | Kabale University |
issn | 1537-744X |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
series | The Scientific World Journal |
spelling | doaj-art-b902b08a8b424ff2891847d8b5a4526a2025-02-03T01:21:52ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/202683202683An Improved Hierarchical Genetic Algorithm for Sheet Cutting Scheduling with Process ConstraintsYunqing Rao0Dezhong Qi1Jinling Li2The State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science & Technology, Wuhan, Hubei 430074, ChinaThe State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science & Technology, Wuhan, Hubei 430074, ChinaShenyang Donfon Titanium Industry Co., Ltd, Shenyang, Liaoning 110168, ChinaFor the first time, an improved hierarchical genetic algorithm for sheet cutting problem which involves n cutting patterns for m non-identical parallel machines with process constraints has been proposed in the integrated cutting stock model. The objective of the cutting scheduling problem is minimizing the weighted completed time. A mathematical model for this problem is presented, an improved hierarchical genetic algorithm (ant colony—hierarchical genetic algorithm) is developed for better solution, and a hierarchical coding method is used based on the characteristics of the problem. Furthermore, to speed up convergence rates and resolve local convergence issues, a kind of adaptive crossover probability and mutation probability is used in this algorithm. The computational result and comparison prove that the presented approach is quite effective for the considered problem.http://dx.doi.org/10.1155/2013/202683 |
spellingShingle | Yunqing Rao Dezhong Qi Jinling Li An Improved Hierarchical Genetic Algorithm for Sheet Cutting Scheduling with Process Constraints The Scientific World Journal |
title | An Improved Hierarchical Genetic Algorithm for Sheet Cutting Scheduling with Process Constraints |
title_full | An Improved Hierarchical Genetic Algorithm for Sheet Cutting Scheduling with Process Constraints |
title_fullStr | An Improved Hierarchical Genetic Algorithm for Sheet Cutting Scheduling with Process Constraints |
title_full_unstemmed | An Improved Hierarchical Genetic Algorithm for Sheet Cutting Scheduling with Process Constraints |
title_short | An Improved Hierarchical Genetic Algorithm for Sheet Cutting Scheduling with Process Constraints |
title_sort | improved hierarchical genetic algorithm for sheet cutting scheduling with process constraints |
url | http://dx.doi.org/10.1155/2013/202683 |
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