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2017 | OriginalPaper | Buchkapitel

8. Ray Optimization Algorithm

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Abstract

In this chapter a newly developed metaheuristic method, so-called ray optimization, is presented. Similar to other multi-agent methods, ray optimization has a number of particles consisting of the variables of the problem. These agents are considered as rays of light. Based on the Snell’s light refraction law, when light travels from a lighter medium to a darker medium, it refracts and its direction changes. This behavior helps the agents to explore the search space in early stages of the optimization process and to make them converge in the final stages. This law is the main tool of the ray optimization algorithm. This chapter consists of three parts.

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Literatur
1.
Zurück zum Zitat Kaveh A, Khayatazad M (2012) A new meta-heuristic method: ray optimization. Comput Struct 112–113:283–294CrossRef Kaveh A, Khayatazad M (2012) A new meta-heuristic method: ray optimization. Comput Struct 112–113:283–294CrossRef
2.
Zurück zum Zitat Kaveh A, Khayatazad M (2013) Ray optimization for size and shape optimization of truss structures. Comput Struct 117:82–94CrossRef Kaveh A, Khayatazad M (2013) Ray optimization for size and shape optimization of truss structures. Comput Struct 117:82–94CrossRef
3.
Zurück zum Zitat Kaveh A, Ilchi Ghazaan M, Bakhshpoori T (2013) An improved ray optimization algorithm for design of truss structures. Period Polytech Civil Eng 57(2):97–112CrossRef Kaveh A, Ilchi Ghazaan M, Bakhshpoori T (2013) An improved ray optimization algorithm for design of truss structures. Period Polytech Civil Eng 57(2):97–112CrossRef
4.
Zurück zum Zitat Laval Philippe B (2003) Mathematics for computer graphics-ray tracing III. Kennesaw State University, Georgia, Nov 12 Laval Philippe B (2003) Mathematics for computer graphics-ray tracing III. Kennesaw State University, Georgia, Nov 12
5.
Zurück zum Zitat Kaveh A, Talatahari S (2009) Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures. Comput Struct 87:267–283CrossRef Kaveh A, Talatahari S (2009) Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures. Comput Struct 87:267–283CrossRef
6.
Zurück zum Zitat Tsoulos IG (2008) Modifications of real code genetic algorithm for global optimization. Appl Math Comput 203:598–607MathSciNetMATH Tsoulos IG (2008) Modifications of real code genetic algorithm for global optimization. Appl Math Comput 203:598–607MathSciNetMATH
7.
Zurück zum Zitat Belegundu AD (1982) A study of mathematical programming methods for structural optimization. Ph.D. thesis, Department of Civil and Environmental Engineering, University of Iowa, Iowa, USA Belegundu AD (1982) A study of mathematical programming methods for structural optimization. Ph.D. thesis, Department of Civil and Environmental Engineering, University of Iowa, Iowa, USA
8.
Zurück zum Zitat Arora JS (1989) Introduction to optimum design. McGraw-Hill, New York Arora JS (1989) Introduction to optimum design. McGraw-Hill, New York
9.
Zurück zum Zitat Ragsdell KM, Phillips DT (1976) Optimal design of a class of welded structures using geometric programming. ASME J Eng Ind Ser B 98:1021–1925CrossRef Ragsdell KM, Phillips DT (1976) Optimal design of a class of welded structures using geometric programming. ASME J Eng Ind Ser B 98:1021–1925CrossRef
10.
Zurück zum Zitat Deb K (1991) Optimal design of a welded beam via genetic algorithms. AIAA J 29:2013–2015CrossRef Deb K (1991) Optimal design of a welded beam via genetic algorithms. AIAA J 29:2013–2015CrossRef
11.
Zurück zum Zitat Gil L, Andreu A (2003) Shape and cross-section optimization of a truss structure. Comput Struct 79:681–689CrossRef Gil L, Andreu A (2003) Shape and cross-section optimization of a truss structure. Comput Struct 79:681–689CrossRef
12.
Zurück zum Zitat Wang D, Zhang WH, Jiang JS (2004) Truss optimization on shape and sizing with frequency constraints. AIAA J 42:1452–1456 Wang D, Zhang WH, Jiang JS (2004) Truss optimization on shape and sizing with frequency constraints. AIAA J 42:1452–1456
13.
Zurück zum Zitat Lingyun W, Mei Z, Guangming W, Guang M (2005) Truss optimization on shape and sizing with frequency constraints based on genetic algorithm. J Comput Mech 25:361–368CrossRefMATH Lingyun W, Mei Z, Guangming W, Guang M (2005) Truss optimization on shape and sizing with frequency constraints based on genetic algorithm. J Comput Mech 25:361–368CrossRefMATH
14.
Zurück zum Zitat Gomes HM (2011) Truss optimization with dynamic constraints using a particle swarm algorithm. Expert Syst Appl 38:957–968CrossRef Gomes HM (2011) Truss optimization with dynamic constraints using a particle swarm algorithm. Expert Syst Appl 38:957–968CrossRef
15.
Zurück zum Zitat American Institute of Steel Construction, AISC (1989) Manual of steel construction allowable stress design, 9th edn. AISC, Chicago, IL American Institute of Steel Construction, AISC (1989) Manual of steel construction allowable stress design, 9th edn. AISC, Chicago, IL
16.
Zurück zum Zitat Lee KS, Geem ZW (2004) A new structural optimization method based on the harmony search algorithm. Comput Struct 82:781–798CrossRef Lee KS, Geem ZW (2004) A new structural optimization method based on the harmony search algorithm. Comput Struct 82:781–798CrossRef
17.
Zurück zum Zitat Kaveh A, Talatahari S (2010) Optimal design of skeletal structures via the charged system search algorithm. Struct Multidiscip Optim 41:893–911CrossRef Kaveh A, Talatahari S (2010) Optimal design of skeletal structures via the charged system search algorithm. Struct Multidiscip Optim 41:893–911CrossRef
18.
Zurück zum Zitat Camp CV (2007) Design of space trusses using Big Bang–Big Crunch optimization. J Struct Eng ASCE 133:999–1008CrossRef Camp CV (2007) Design of space trusses using Big Bang–Big Crunch optimization. J Struct Eng ASCE 133:999–1008CrossRef
19.
Zurück zum Zitat Camp CV, Bichon J (2004) Design of space trusses using ant colony optimization. J Struct Eng ASCE 130:741–751CrossRef Camp CV, Bichon J (2004) Design of space trusses using ant colony optimization. J Struct Eng ASCE 130:741–751CrossRef
20.
Zurück zum Zitat Kaveh A, Talatahari S (2009) Size optimization of space trusses using Big Bang-Big Crunch algorithm. Comput Struct 87:1129–1140CrossRef Kaveh A, Talatahari S (2009) Size optimization of space trusses using Big Bang-Big Crunch algorithm. Comput Struct 87:1129–1140CrossRef
21.
Zurück zum Zitat Kaveh A, Talatahari S (2010) Optimum design of skeletal structures using imperialist competitive algorithm. Comput Struct 88:1220–1229CrossRefMATH Kaveh A, Talatahari S (2010) Optimum design of skeletal structures using imperialist competitive algorithm. Comput Struct 88:1220–1229CrossRefMATH
22.
Zurück zum Zitat Kaveh A, Talatahari S (2009) A particle swarm ant colony optimization for truss structures with discrete variables. J Constr Steel Res 65:1558–1568CrossRef Kaveh A, Talatahari S (2009) A particle swarm ant colony optimization for truss structures with discrete variables. J Constr Steel Res 65:1558–1568CrossRef
Metadaten
Titel
Ray Optimization Algorithm
verfasst von
A. Kaveh
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-46173-1_8

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