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Turret-index optimisation with mathematical programming and metaheuristic approaches.

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Title: Turret-index optimisation with mathematical programming and metaheuristic approaches.
Authors: Baykasoglu, Adil1 (AUTHOR) adil.baykasoglu@deu.edu.tr, Yoruk, Elif1 (AUTHOR), Topaloglu Yildiz, Seyda1 (AUTHOR)
Source: International Journal of Production Research. Mar2025, Vol. 63 Issue 6, p2248-2267. 20p.
Subjects: Constraint programming, Mathematical programming, Mathematical optimization, Integer programming, Metaheuristic algorithms
Abstract: This paper addresses the turret-index optimisation problem by proposing two mathematical programming approaches based on quadratic programming (QP) and constraint programming (CP). In addition, a metaheuristic algorithm based on weighted superposition attraction (WSA) is developed due to the combinatorial complexity of the problem. Despite attempting to linearise the QP formulation for problem resolution, both the QP and Linearized QP models prove ineffective for medium and larger-sized instances, providing solutions only for small-sized problems. In the second mathematical programming approach, a novel CP model is introduced in the literature. While CP can rapidly offer optimal solutions for small-sized problems, it only provides satisfactory solutions for medium and larger-sized problems within the predetermined computational time limits and does not guarantee optimal results. On the other hand, through computational analysis and relevant statistical tests, the proposed WSA algorithm provides the best solutions for all test problems within a reasonable computational time. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Turret-index optimisation with mathematical programming and metaheuristic approaches.
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  Data: <searchLink fieldCode="AR" term="%22Baykasoglu%2C+Adil%22">Baykasoglu, Adil</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> adil.baykasoglu@deu.edu.tr</i><br /><searchLink fieldCode="AR" term="%22Yoruk%2C+Elif%22">Yoruk, Elif</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Topaloglu+Yildiz%2C+Seyda%22">Topaloglu Yildiz, Seyda</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Production+Research%22">International Journal of Production Research</searchLink>. Mar2025, Vol. 63 Issue 6, p2248-2267. 20p.
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  Data: <searchLink fieldCode="DE" term="%22Constraint+programming%22">Constraint programming</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+programming%22">Mathematical programming</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Integer+programming%22">Integer programming</searchLink><br /><searchLink fieldCode="DE" term="%22Metaheuristic+algorithms%22">Metaheuristic algorithms</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper addresses the turret-index optimisation problem by proposing two mathematical programming approaches based on quadratic programming (QP) and constraint programming (CP). In addition, a metaheuristic algorithm based on weighted superposition attraction (WSA) is developed due to the combinatorial complexity of the problem. Despite attempting to linearise the QP formulation for problem resolution, both the QP and Linearized QP models prove ineffective for medium and larger-sized instances, providing solutions only for small-sized problems. In the second mathematical programming approach, a novel CP model is introduced in the literature. While CP can rapidly offer optimal solutions for small-sized problems, it only provides satisfactory solutions for medium and larger-sized problems within the predetermined computational time limits and does not guarantee optimal results. On the other hand, through computational analysis and relevant statistical tests, the proposed WSA algorithm provides the best solutions for all test problems within a reasonable computational time. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Production Research is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1080/00207543.2024.2399711
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      – Code: eng
        Text: English
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        PageCount: 20
        StartPage: 2248
    Subjects:
      – SubjectFull: Constraint programming
        Type: general
      – SubjectFull: Mathematical programming
        Type: general
      – SubjectFull: Mathematical optimization
        Type: general
      – SubjectFull: Integer programming
        Type: general
      – SubjectFull: Metaheuristic algorithms
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      – TitleFull: Turret-index optimisation with mathematical programming and metaheuristic approaches.
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              M: 03
              Text: Mar2025
              Type: published
              Y: 2025
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