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2021 | OriginalPaper | Chapter

13. Interval Differential Evolution Algorithm

Authors : Chao Jiang, Xu Han, Huichao Xie

Published in: Nonlinear Interval Optimization for Uncertain Problems

Publisher: Springer Singapore

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Abstract

By introducing the interval model into the existing differential evolution, this chapter proposes a novel interval differential evolution algorithm, which can directly solve the original interval optimization problem rather than transforming it to a deterministic optimization problem first.

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Appendix
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Literature
1.
go back to reference Cheng J, Liu Z, Wu ZY, Tang MY, Tan JR (2016) Direct optimization of uncertain structures based on degree of interval constraint violation. Comput Struct 164:83–94CrossRef Cheng J, Liu Z, Wu ZY, Tang MY, Tan JR (2016) Direct optimization of uncertain structures based on degree of interval constraint violation. Comput Struct 164:83–94CrossRef
2.
go back to reference Fu CM, Jiang C, Tang JC (2017) A novel interval differential evolution algorithm for uncertain optimization problems. IEEE Trans Evol Comput, submitted Fu CM, Jiang C, Tang JC (2017) A novel interval differential evolution algorithm for uncertain optimization problems. IEEE Trans Evol Comput, submitted
3.
go back to reference Storn R, Price K (1997) Differential evolution–a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11(4):341–359MathSciNetCrossRef Storn R, Price K (1997) Differential evolution–a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11(4):341–359MathSciNetCrossRef
4.
go back to reference Das S, Suganthan PN (2011) Differential evolution: a survey of the state-of-the-art. IEEE Trans Evol Comput 15(1):4–31CrossRef Das S, Suganthan PN (2011) Differential evolution: a survey of the state-of-the-art. IEEE Trans Evol Comput 15(1):4–31CrossRef
5.
go back to reference Das S, Mullick SS, Suganthan PN (2016) Recent advances in differential evolution–an updated survey. Swarm Evol Comput 27:1–30CrossRef Das S, Mullick SS, Suganthan PN (2016) Recent advances in differential evolution–an updated survey. Swarm Evol Comput 27:1–30CrossRef
6.
go back to reference Vasile M, Minisci E, Locatelli M (2011) An inflationary differential evolution algorithm for space trajectory optimization. IEEE Trans Evol Comput 15(2):267–281CrossRef Vasile M, Minisci E, Locatelli M (2011) An inflationary differential evolution algorithm for space trajectory optimization. IEEE Trans Evol Comput 15(2):267–281CrossRef
7.
go back to reference Zhong JH, Shen M, Zhang J, Chung HS-H, Shi Y-H, Li Y (2013) A differential evolution algorithm with dual populations for solving periodic railway timetable scheduling problem. IEEE Trans Evol Comput 17(4):512–527CrossRef Zhong JH, Shen M, Zhang J, Chung HS-H, Shi Y-H, Li Y (2013) A differential evolution algorithm with dual populations for solving periodic railway timetable scheduling problem. IEEE Trans Evol Comput 17(4):512–527CrossRef
8.
go back to reference Roque CMC, Martins PALS, Ferreira AJM, Jorge RMN (2016) Differential evolution for free vibration optimization of functionally graded nano beams. Compos Struct 156:29–34CrossRef Roque CMC, Martins PALS, Ferreira AJM, Jorge RMN (2016) Differential evolution for free vibration optimization of functionally graded nano beams. Compos Struct 156:29–34CrossRef
9.
go back to reference Ho-Huu V, Nguyen-Thoi T, Vo-Duy T, Nguyen-Trang T (2016) An adaptive elitist differential evolution for optimization of truss structures with discrete design variables. Comput Struct 165:59–75CrossRef Ho-Huu V, Nguyen-Thoi T, Vo-Duy T, Nguyen-Trang T (2016) An adaptive elitist differential evolution for optimization of truss structures with discrete design variables. Comput Struct 165:59–75CrossRef
10.
go back to reference Wang Y, Xu B, Sun G, Yang S (2017) A two-phase differential evolution for uniform designs in constrained experimental domains. IEEE Trans Evol Comput 21(5):665–680CrossRef Wang Y, Xu B, Sun G, Yang S (2017) A two-phase differential evolution for uniform designs in constrained experimental domains. IEEE Trans Evol Comput 21(5):665–680CrossRef
11.
go back to reference Qiu X, Tan KC, Xu JX (2017) Multiple Exponential Recombination for Differential Evolution. IEEE Trans Cybern 47(4):995–1006 Qiu X, Tan KC, Xu JX (2017) Multiple Exponential Recombination for Differential Evolution. IEEE Trans Cybern 47(4):995–1006
12.
go back to reference Wang Y, Cai Z, Zhang Q (2012) Enhancing the search ability of differential evolution through orthogonal crossover. Inf Sci 185(1):153–177 Wang Y, Cai Z, Zhang Q (2012) Enhancing the search ability of differential evolution through orthogonal crossover. Inf Sci 185(1):153–177
13.
go back to reference Liu J, Teo KL, Wang X, Wu C (2016) An exact penalty function-based differential search algorithm for constrained global optimization. Soft Comput 20(4):1305–1313 Liu J, Teo KL, Wang X, Wu C (2016) An exact penalty function-based differential search algorithm for constrained global optimization. Soft Comput 20(4):1305–1313
14.
go back to reference Tessema B, Yen GG (2009) An adaptive penalty formulation for constrained evolutionary optimization. IEEE Trans Syst, Man, Cybern-Part A: Syst Hum 39(3):565–578 Tessema B, Yen GG (2009) An adaptive penalty formulation for constrained evolutionary optimization. IEEE Trans Syst, Man, Cybern-Part A: Syst Hum 39(3):565–578
15.
go back to reference Nocedal J, Wright SJ (1999) Numerical optimization. Springer, New York Nocedal J, Wright SJ (1999) Numerical optimization. Springer, New York
16.
go back to reference Brest J, Greiner S, Boskovic B, Mernik M, Zumer V (2006) Self-adapting control parameters in differential evolution: a comparative study on numerical benchmark problems. IEEE Trans Evol Comput 10(6):646–657CrossRef Brest J, Greiner S, Boskovic B, Mernik M, Zumer V (2006) Self-adapting control parameters in differential evolution: a comparative study on numerical benchmark problems. IEEE Trans Evol Comput 10(6):646–657CrossRef
17.
go back to reference Liang J, Runarsson TP, Mezura-Montes E, Clerc M, Suganthan PN, Coello CC, Deb K (2006) Problem definitions and evaluation criteria for the CEC 2006 special session on constrained real-parameter optimization. J Appl Mech 41(8) Liang J, Runarsson TP, Mezura-Montes E, Clerc M, Suganthan PN, Coello CC, Deb K (2006) Problem definitions and evaluation criteria for the CEC 2006 special session on constrained real-parameter optimization. J Appl Mech 41(8)
18.
go back to reference Huang ZL, Jiang C, Zhang Z, Fang T, Han X (2017) A decoupling approach for evidence-theory-based reliability design optimization. Struct Multidiscip Optim 56(3):647–661CrossRef Huang ZL, Jiang C, Zhang Z, Fang T, Han X (2017) A decoupling approach for evidence-theory-based reliability design optimization. Struct Multidiscip Optim 56(3):647–661CrossRef
Metadata
Title
Interval Differential Evolution Algorithm
Authors
Chao Jiang
Xu Han
Huichao Xie
Copyright Year
2021
Publisher
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-8546-3_13

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