Meta-heuristic search algorithms in truss optimization: Research on stability and complexity analyses

Although they are among the most researched real world engineering design problems, it is encountered with significant problems in the optimization of structural truss bar problems (TPs). The main reasons for these problems are (i) the studies on the optimization of TPs being carried out with differ...

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Veröffentlicht in:Applied soft computing Jg. 145; S. 110573
Hauptverfasser: Öztürk, Hasan Tahsin, Kahraman, Hamdi Tolga
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.09.2023
Schlagworte:
Algorithm complexity
Meta-heuristic search
Optimization
Stability analysis
Structural truss bar problems
Stability analysis
Meta-heuristic search
Structural truss bar problems
Optimization
Algorithm complexity
ISSN:1568-4946, 1872-9681
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Abstract Although they are among the most researched real world engineering design problems, it is encountered with significant problems in the optimization of structural truss bar problems (TPs). The main reasons for these problems are (i) the studies on the optimization of TPs being carried out with different experimental settings, (ii) the competitor algorithms used in the optimization process being insufficient, and (iii) the stability analysis and computational complexity information of the algorithms are not investigated. It is designed a simulation environment with defined standards and a benchmarking suite consisting of nine TPs of three different types in order to eliminate these problems. It is found optimum solutions for all problems in the benchmark suite and it is introduced feasible solutions for the first time. According to the statistical analysis results, among the seventy-seven competing algorithms, the best ten algorithms showed competitive performance in the optimization of TPs are LSHADE-EpSin, LSHADE-CnEpSin, SHADE, LSHADE, GSK, FDB-AGDE, MPA, LRFDB-COA and BES. According to the results of the stability analysis carried out on feasible solutions, it has been determined the algorithms with the best success rate for planar type; LSHADE, LSHADE-CnEpSin, LSHADE-EpSin and GSK with 100% success rate, LSHADE-CnEpSin, LSHADE-EpSin, LSHADE and SHADE for Space type with 100% success rate, and LSHADE-EpSin with 69% success rate for frequency constrained type. When the performances of the algorithms are evaluated regardless of the problem type, LSHADE-EpSin has been the most stable algorithm with an overall success rate of 90% on the TPs. Click here for the simulation environment containing the source codes of the ten competitive algorithms and the TP benchmark suite proposed in the article: https://www.mathworks.com/matlabcentral/fileexchange/131668-structural-truss-problems-benchmark-suite. •Feasible solutions for nine different types of truss problems (TPs) were defined in this study for the first time.•LSHADE-CnEpSin, LSHADE-Epsin, LSHADE, SHADE, GSK, BES, FDB-AGDE, MPA and MFLA were applied for the first time for TPs.•The computational complexity and stability of algorithms were presented for the first time.•The results proposed in this article will ensure reusability and widespread impact for future research on TPs.
AbstractList Although they are among the most researched real world engineering design problems, it is encountered with significant problems in the optimization of structural truss bar problems (TPs). The main reasons for these problems are (i) the studies on the optimization of TPs being carried out with different experimental settings, (ii) the competitor algorithms used in the optimization process being insufficient, and (iii) the stability analysis and computational complexity information of the algorithms are not investigated. It is designed a simulation environment with defined standards and a benchmarking suite consisting of nine TPs of three different types in order to eliminate these problems. It is found optimum solutions for all problems in the benchmark suite and it is introduced feasible solutions for the first time. According to the statistical analysis results, among the seventy-seven competing algorithms, the best ten algorithms showed competitive performance in the optimization of TPs are LSHADE-EpSin, LSHADE-CnEpSin, SHADE, LSHADE, GSK, FDB-AGDE, MPA, LRFDB-COA and BES. According to the results of the stability analysis carried out on feasible solutions, it has been determined the algorithms with the best success rate for planar type; LSHADE, LSHADE-CnEpSin, LSHADE-EpSin and GSK with 100% success rate, LSHADE-CnEpSin, LSHADE-EpSin, LSHADE and SHADE for Space type with 100% success rate, and LSHADE-EpSin with 69% success rate for frequency constrained type. When the performances of the algorithms are evaluated regardless of the problem type, LSHADE-EpSin has been the most stable algorithm with an overall success rate of 90% on the TPs. Click here for the simulation environment containing the source codes of the ten competitive algorithms and the TP benchmark suite proposed in the article: https://www.mathworks.com/matlabcentral/fileexchange/131668-structural-truss-problems-benchmark-suite. •Feasible solutions for nine different types of truss problems (TPs) were defined in this study for the first time.•LSHADE-CnEpSin, LSHADE-Epsin, LSHADE, SHADE, GSK, BES, FDB-AGDE, MPA and MFLA were applied for the first time for TPs.•The computational complexity and stability of algorithms were presented for the first time.•The results proposed in this article will ensure reusability and widespread impact for future research on TPs.
ArticleNumber 110573
Author Kahraman, Hamdi Tolga
Öztürk, Hasan Tahsin
Author_xml – sequence: 1
  givenname: Hasan Tahsin
  orcidid: 0000-0001-8479-9451
  surname: Öztürk
  fullname: Öztürk, Hasan Tahsin
  email: htozturk@ktu.edu.tr
  organization: Civil Engineering, Of Technology Faculty, Karadeniz Technical University, Trabzon, 61080, Turkey
– sequence: 2
  givenname: Hamdi Tolga
  orcidid: 0000-0001-9985-6324
  surname: Kahraman
  fullname: Kahraman, Hamdi Tolga
  email: htolgakahraman@ktu.edu.tr
  organization: Software Engineering, Of Technology Faculty, Karadeniz Technical University, Trabzon, 61080, Turkey
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Keywords Stability analysis
Meta-heuristic search
Structural truss bar problems
Optimization
Algorithm complexity
Language English
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Snippet Although they are among the most researched real world engineering design problems, it is encountered with significant problems in the optimization of...
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StartPage 110573
SubjectTerms Algorithm complexity
Meta-heuristic search
Optimization
Stability analysis
Structural truss bar problems
Title Meta-heuristic search algorithms in truss optimization: Research on stability and complexity analyses
URI https://dx.doi.org/10.1016/j.asoc.2023.110573
Volume 145
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