No-wait flowshop scheduling problem with separate setup times to minimize total tardiness subject to makespan
The no-wait flowshop scheduling problem on m machines with separate setup times is addressed to minimize total tardiness with an upper bound on makespan. Conditions for a dominance rule are established. Then, a new simulated annealing algorithm utilizing block insertion and block exchange operators...
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Published in | Applied mathematics and computation Vol. 365; p. 124688 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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15.01.2020
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Abstract | The no-wait flowshop scheduling problem on m machines with separate setup times is addressed to minimize total tardiness with an upper bound on makespan. Conditions for a dominance rule are established. Then, a new simulated annealing algorithm utilizing block insertion and block exchange operators is proposed, which we call a block simulated annealing algorithm. The proposed block simulated annealing algorithm is combined with an iterated search algorithm where the block simulated annealing algorithm explores the search space for a smaller total tardiness while the iterated search algorithm satisfies the constraint on the makespan. The proposed combined algorithm is called PA. Moreover, six closely related and well performing algorithms in the literature are modified to the problem, and PA is compared with these six algorithms. Extensive computational experiments reveal that PA reduces the error of the best modified algorithm by more than 50% for the same CPU times. Furthermore, the results are statistically tested, and thus, PA is recommended. |
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AbstractList | The no-wait flowshop scheduling problem on m machines with separate setup times is addressed to minimize total tardiness with an upper bound on makespan. Conditions for a dominance rule are established. Then, a new simulated annealing algorithm utilizing block insertion and block exchange operators is proposed, which we call a block simulated annealing algorithm. The proposed block simulated annealing algorithm is combined with an iterated search algorithm where the block simulated annealing algorithm explores the search space for a smaller total tardiness while the iterated search algorithm satisfies the constraint on the makespan. The proposed combined algorithm is called PA. Moreover, six closely related and well performing algorithms in the literature are modified to the problem, and PA is compared with these six algorithms. Extensive computational experiments reveal that PA reduces the error of the best modified algorithm by more than 50% for the same CPU times. Furthermore, the results are statistically tested, and thus, PA is recommended. |
ArticleNumber | 124688 |
Author | Aydilek, Harun Aydilek, Asiye Allahverdi, Ali |
Author_xml | – sequence: 1 givenname: Ali surname: Allahverdi fullname: Allahverdi, Ali email: ali.allahverdi@ku.edu.kw organization: Department of Industrial and Management Systems Engineering, College of Engineering and Petroleum, Kuwait University, P.O. Box 5969, Safat, Kuwait – sequence: 2 givenname: Harun surname: Aydilek fullname: Aydilek, Harun email: aydilek.h@gust.edu.kw organization: Department of Mathematics and Natural Sciences, Gulf University for Science and Technology, P.O. Box 7207, Hawally 32093, Kuwait – sequence: 3 givenname: Asiye surname: Aydilek fullname: Aydilek, Asiye email: aydilek.a@gust.edu.kw organization: Department of Economics and Finance, Gulf University for Science and Technology, P.O. Box 7207, Hawally 32093, Kuwait |
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Keywords | Makespan Scheduling No-wait flowshop Total tardiness Setup times |
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