Abstract
Optimization algorithms are widely used in engineering applications to solve complex real-world design problems. The success of an algorithm with a vast scope should be a convergence in a short time with less iteration to keep pace with developing technology. Generally, optimization algorithms are performed without examining the effect of the algorithm parameters and characteristic of the optimization problem, statistically. Therefore, the appropriate algorithm parameter values of the scatter search optimization algorithms in this chapter have been aimed to investigate with the Taguchi method, which is a statistics-based and the robust way. By manipulating fewer trials, it is possible to gain the proper value, which changes according to the minimum or the maximum global solution design among all combinations of the algorithm parameters. Utilizing an orthogonal array proposed by Taguchi is an effective and successful tool. Thus, approaches are intended to achieve the results with less repetition and to increase the accomplishment of the algorithm, taking into account the effect of the algorithm parameters on the result with statistical analysis.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Rao S Engineering optimization: theory and practice—Singiresu—Google Kitaplar. John Wiley Sons
Goldberg DE (1989) Genetic algorithms and Walsh functions: part I, a gentle introduction. Complex Syst 3:129–152
Geem ZW (2006) Optimal cost design of water distribution networks using harmony search. Eng Optim 38:259–277
Geem ZW, Lee KS, Park Y (2005) Application of harmony search to vehicle routing. Am J Appl Sci 2:1552–1557. https://doi.org/10.3844/ajassp.2005.1552.1557
Carbas S (2016) Design optimization of steel frames using an enhanced firefly algorithm. Eng Optim 48:2007–2025. https://doi.org/10.1080/0305215X.2016.1145217
Uray E, Çarbaş S, Erkan İH, Olgun M (2020) Investigation of optimal designs for concrete cantilever retaining walls in different soils. Chall J Concr Res Lett 11. https://doi.org/10.20528/cjcrl.2020.02.003
Cheng YM, Li L, Fang SS (2011) Improved harmony search methods to replace variational principle in geotechnical problems. J Mech 27:107–119. https://doi.org/10.1017/jmech.2011.12
Niu M, Wan C, Xu Z (2014) A review on applications of heuristic optimization algorithms for optimal power flow in modern power systems. J Mod Power Syst Clean Energy 2:289–297. https://doi.org/10.1007/s40565-014-0089-4
Hatamlou A (2013) Black hole: a new heuristic optimization approach for data clustering. Inf Sci (Ny) 222:175–184. https://doi.org/10.1016/j.ins.2012.08.023
Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220(80):671–680. https://doi.org/10.1126/science.220.4598.671
Glover F (1989) Tabu search—part I. ORSA J Comput 1:190–206. https://doi.org/10.1287/ijoc.1.3.190
Glover F (1990) Tabu search—part II. ORSA J Comput 2:4–32. https://doi.org/10.1287/ijoc.2.1.4
Dorigo M, Gambardella LM (1997) Ant colonies for the travelling salesman problem. BioSystems 43:73–81. https://doi.org/10.1016/S0303-2647(97)01708-5
Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76:60–68. https://doi.org/10.1177/003754970107600201
Kennedy J, Eberhart R Particle swarm optimization. In: Proceedings of ICNN’95—international conference on neural networks. IEEE, pp 1942–1948
Karaboga D (2005) An idea based on honey bee swarm for numerical optimization
Yang XS (2009) Firefly algorithms for multimodal optimization. In: International symposium on stochastic algorithms. pp 169–178
Rajabioun R (2011) Cuckoo optimization algorithm. Appl Soft Comput J 11:5508–5518. https://doi.org/10.1016/j.asoc.2011.05.008
Perez RE, Behdinan K (2007) Particle swarm approach for structural design optimization. Comput Struct 85:1579–1588. https://doi.org/10.1016/j.compstruc.2006.10.013
Akay B, Karaboga D (2012) A modified artificial bee colony algorithm for real-parameter optimization. Inf Sci (Ny) 192:120–142. https://doi.org/10.1016/j.ins.2010.07.015
Carbas S, Saka MP (2013) Efficiency of improved harmony search algorithm for solving engineering optimization problems. Iran Univ Sci Technol 3:99–114
Bossek J Smoof: single-and multi-objective optimization test functions
Molga M, Smutnicki C (2005) Test functions for optimization needs
Taguchi G (1986) Introduction to quality engineering: designing quality into products and processes
Uray E, Tan Ö, Çarbaş S, Erkan H (2021) Metaheuristics-based pre-design guide for cantilever retaining walls. Tek Dergi 32. https://doi.org/10.18400/tekderg.561956
Cheng BW, Chang CL (2007) A study on flowshop scheduling problem combining Taguchi experimental design and genetic algorithm. Expert Syst Appl 32:415–421. https://doi.org/10.1016/j.eswa.2005.12.002
Yildirim T, Kalayci CB, Mutlu Ö, İşlem Daire Başkanlığı B, Üniversitesi P, Makalesi A, Article Öz R (2016) Gezgin satıcı problemi için yeni bir meta-sezgisel: kör fare algoritması A novel metaheuristic for traveling salesman problem: blind mole-rat algorithm. dergipark.org.tr 22:64–70. https://doi.org/10.5505/pajes.2015.38981
Russell RA, Chiang WC (2006) Scatter search for the vehicle routing problem with time windows. Eur J Oper Res 169:606–622. https://doi.org/10.1016/j.ejor.2004.08.018
Pendharkar PC (2013) Scatter search based interactive multi-criteria optimization of fuzzy objectives for coal production planning. Eng Appl Artif Intell 26:1503–1511. https://doi.org/10.1016/j.engappai.2013.01.001
Naderi B, Ruiz R (2014) A scatter search algorithm for the distributed permutation flowshop scheduling problem. Eur J Oper Res 239:323–334. https://doi.org/10.1016/j.ejor.2014.05.024
Hakli H, Ortacay Z (2019) An improved scatter search algorithm for the uncapacitated facility location problem. Comput Ind Eng 135:855–867. https://doi.org/10.1016/j.cie.2019.06.060
Duman E, Ozcelik MH (2011) Detecting credit card fraud by genetic algorithm and scatter search. Expert Syst Appl 38:13057–13063. https://doi.org/10.1016/j.eswa.2011.04.110
Hakli H (2020) A performance evaluation and two new implementations of evolutionary algorithms for land partitioning problem. Arab J Sci Eng 45:2545–2558. https://doi.org/10.1007/s13369-019-04203-z
Khooban Z, Farahani RZ, Miandoabchi E, Szeto WY (2015) Mixed network design using hybrid scatter search. Eur J Oper Res 247:699–710. https://doi.org/10.1016/j.ejor.2015.06.025
Keskin BB, Üster H (2007) A scatter search-based heuristic to locate capacitated transshipment points. Comput Oper Res 34:3112–3125. https://doi.org/10.1016/j.cor.2005.11.020
Pinol H, Beasley JE (2006) Scatter search and bionomic algorithms for the aircraft landing problem. Eur J Oper Res 171:439–462. https://doi.org/10.1016/j.ejor.2004.09.040
İstinat Duvarlarıyla İlgili Yapılan Hatalar - Serbest Cihangir. http://www.serbestcihangir.com/istinat-duvarlariyla-ilgili-yapilan-hatalar/. Accessed 24 Oct 2020
Chau KW, Albermani F (2003) Knowledge-based system on optimum design of liquid retaining structures with genetic algorithms. J Struct Eng 129:1312
Ceranic B, Fryer C, Baines R (2001) An application of simulated annealing to the optimum design of reinforced concrete retaining structures. Comput Struct
Gandomi AH, Kashani AR, Roke DA, Mousavi M (2015) Optimization of retaining wall design using recent swarm intelligence techniques. Eng Struct 103:72–84. https://doi.org/10.1016/j.engstruct.2015.08.034
Camp C, Akin A (2012) Design of retaining walls using big bang-big crunch optimization. J Struct Eng 138:438–448
Sheikholeslami R, Khalili B, Zahrai S (2014) Optimum cost design of reinforced concrete retaining walls using hybrid firefly algorithm. ijetch.org. https://doi.org/10.7763/IJET.2014.V6.742
Talatahari S, Sheikholeslami R (2014) Optimum design of gravity and reinforced retaining walls using enhanced charged system search algorithm. KSCE J Civ Eng
Temür R, Bekdas G (2016) Teaching learning-based optimization for design of cantilever retaining walls. Struct Eng Mech 57:763–783
Glover F (1977) Heuristics for integer programming using surrogate constraints. Decis Sci 8:156–166. https://doi.org/10.1111/j.1540-5915.1977.tb01074.x
Martí R, Laguna M, Glover F (2006) Principles of scatter search. Eur J Oper Res 169:359–372. https://doi.org/10.1016/j.ejor.2004.08.004
GEO5 Geotechnical software https://www.finesoftware.eu/geotechnical-software/
Das BM (2017) Principles of foundation engineering, 9th edn. Cengage Learning
Das BM (2002) Principles of foundation engineering
Meyerhof GG (1963) Some recent research on the bearing capacity of foundations. Can Geotech J 1:16–26. https://doi.org/10.1139/t63-003
Lin C (2013) A rough penalty genetic algorithm for constrained optimization. Inf Sci (Ny) 241. https://doi.org/10.1016/j.ins.2013.04.001
Deb K (2000) An efficient constraint handling method for genetic algorithms. Comput Methods Appl Mech Eng 186. https://doi.org/10.1016/S0045-7825(99)00389-88
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Uray, E., Hakli, H., Carbas, S. (2021). Statistical Investigation of the Robustness for the Optimization Algorithms. In: Carbas, S., Toktas, A., Ustun, D. (eds) Nature-Inspired Metaheuristic Algorithms for Engineering Optimization Applications. Springer Tracts in Nature-Inspired Computing. Springer, Singapore. https://doi.org/10.1007/978-981-33-6773-9_10
Download citation
DOI: https://doi.org/10.1007/978-981-33-6773-9_10
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-33-6772-2
Online ISBN: 978-981-33-6773-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)