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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Main Authors: Yunqing Rao, Dezhong Qi, Jinling Li
Format: Article
Language:English
Published: Wiley 2013-01-01
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.
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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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