A multi-objective optimisation algorithm for the hot rolling batch scheduling problem
The hot rolling batch scheduling problem is a hard problem in the steel industry. In this paper, the problem is formulated as a multi-objective prize collecting vehicle routing problem (PCVRP) model. In order to avoid the selection of weight coefficients encountered in single objective optimisation,...
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| Veröffentlicht in: | International journal of production research Jg. 51; H. 3; S. 667 - 681 |
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| Sprache: | Englisch |
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01.02.2013
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| Abstract | The hot rolling batch scheduling problem is a hard problem in the steel industry. In this paper, the problem is formulated as a multi-objective prize collecting vehicle routing problem (PCVRP) model. In order to avoid the selection of weight coefficients encountered in single objective optimisation, a multi-objective optimisation algorithm based on Pareto-dominance is used to solve this model. Firstly, the Pareto ℳ -ℳℐ Ant System (P-ℳℳAS), which is a brand new multi-objective ant colony optimisation algorithm, is proposed to minimise the penalties caused by jumps between adjacent slabs, and simultaneously maximise the prizes collected. Then a multi-objective decision-making approach based on TOPSIS is used to select a final rolling batch from the Pareto-optimal solutions provided by P-ℳℳAS. The experimental results using practical production data from Shanghai Baoshan Iron & Steel Co., Ltd. have indicated that the proposed model and algorithm are effective and efficient. |
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| AbstractList | The hot rolling batch scheduling problem is a hard problem in the steel industry. In this paper, the problem is formulated as a multi-objective prize collecting vehicle routing problem (PCVRP) model. In order to avoid the selection of weight coefficients encountered in single objective optimisation, a multi-objective optimisation algorithm based on Pareto-dominance is used to solve this model. Firstly, the Pareto ℳ -ℳℐ Ant System (P-ℳℳAS), which is a brand new multi-objective ant colony optimisation algorithm, is proposed to minimise the penalties caused by jumps between adjacent slabs, and simultaneously maximise the prizes collected. Then a multi-objective decision-making approach based on TOPSIS is used to select a final rolling batch from the Pareto-optimal solutions provided by P-ℳℳAS. The experimental results using practical production data from Shanghai Baoshan Iron & Steel Co., Ltd. have indicated that the proposed model and algorithm are effective and efficient. The hot rolling batch scheduling problem is a hard problem in the steel industry. In this paper, the problem is formulated as a multi-objective prize collecting vehicle routing problem (PCVRP) model. In order to avoid the selection of weight coefficients encountered in single objective optimisation, a multi-objective optimisation algorithm based on Pareto-dominance is used to solve this model. Firstly, the Pareto ...-... Ant System (P-...AS), which is a brand new multi-objective ant colony optimisation algorithm, is proposed to minimise the penalties caused by jumps between adjacent slabs, and simultaneously maximise the prizes collected. Then a multi-objective decision-making approach based on TOPSIS is used to select a final rolling batch from the Pareto-optimal solutions provided by P-...AS. The experimental results using practical production data from Shanghai Baoshan Iron & Steel Co., Ltd. have indicated that the proposed model and algorithm are effective and efficient. (ProQuest: ... denotes formulae/symbols omitted.) The hot rolling batch scheduling problem is a hard problem in the steel industry. In this paper, the problem is formulated as a multi-objective prize collecting vehicle routing problem (PCVRP) model. In order to avoid the selection of weight coefficients encountered in single objective optimisation, a multi-objective optimisation algorithm based on Pareto-dominance is used to solve this model. Firstly, the Pareto [phmmat]AX-[phmmat][ScriptN Ant System (P-[phmmat][phmmat]AS), which is a brand new multi-objective ant colony optimisation algorithm, is proposed to minimise the penalties caused by jumps between adjacent slabs, and simultaneously maximise the prizes collected. Then a multi-objective decision-making approach based on TOPSIS is used to select a final rolling batch from the Pareto-optimal solutions provided by P-[phmmat][phmmat]AS. The experimental results using practical production data from Shanghai Baoshan Iron & Steel Co., Ltd. have indicated that the proposed model and algorithm are effective and efficient. |
| Author | Zhu, J. Yi, J. Jia, S.J. Yang, G.K. Du, B. |
| Author_xml | – sequence: 1 givenname: S.J. surname: Jia fullname: Jia, S.J. email: jiashujin_1@163.com organization: Department of Automation , Shanghai Jiao Tong University, and Key Laboratory of System Control and Information Processing, Ministry of Education of China – sequence: 2 givenname: J. surname: Yi fullname: Yi, J. organization: Research Institute of Automation, Academy of Baoshan Iron & Steel Co., Ltd – sequence: 3 givenname: G.K. surname: Yang fullname: Yang, G.K. organization: Department of Automation , Shanghai Jiao Tong University, and Key Laboratory of System Control and Information Processing, Ministry of Education of China – sequence: 4 givenname: B. surname: Du fullname: Du, B. organization: Research Institute of Automation, Academy of Baoshan Iron & Steel Co., Ltd – sequence: 5 givenname: J. surname: Zhu fullname: Zhu, J. organization: Research Institute of Automation, Academy of Baoshan Iron & Steel Co., Ltd |
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| SubjectTerms | Algorithms ant colony optimisation Decision making models Effectiveness studies Hot rolling hot rolling batch scheduling Iron and steel industry Mathematical models Mathematical problems multi-objective optimisation Optimization Optimization algorithms Pareto optimality Pareto optimisation Pareto optimum Production scheduling Scheduling Structural steels |
| Title | A multi-objective optimisation algorithm for the hot rolling batch scheduling problem |
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