Research Article

Hybrid Constrained Evolutionary Algorithm for Numerical Optimization Problems

Volume: 48 Number: 3 June 15, 2019
  • Wali Khan Mashwani *
  • Alam Zaib
  • Özgür Yeniay
  • Habib Shah
  • Naseer Mansoor Tairan
  • Muhammad Sulaiman
EN

Hybrid Constrained Evolutionary Algorithm for Numerical Optimization Problems

Abstract

Constrained optimization are naturally arises in many real-life applications, and is therefore gaining a constantly growing attention of the researchers.Evolutionary algorithms are not directly applied on constrained optimization problems. However, different constraint-handling techniques are incorporated in their framework to adopt it for dealing with constrained environments. This paper suggests an hybrid constrained evolutionary algorithm (HCEA) that employs two penalty functions simultaneously. The suggested HCEA has two versions namely HCEA-static and HCEA-adaptive. The performance of the HCEA-static and HCEA-adaptive algorithms are examined upon the constrained benchmark functions that are recently designed for the special session of the $2006$ IEEE Conference of Evolutionary Computation (IEEE-CEC'06). The experimental results of the suggested algorithms are much promising as compared to one of the recent constrained version of the JADE. The converging behaviour of the both suggested algorithms on each benchmark function is encouraging and promising in most cases.

Keywords

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Publication Date

June 15, 2019

Submission Date

April 14, 2017

Acceptance Date

September 4, 2018

Published in Issue

Year 2019 Volume: 48 Number: 3

APA
Mashwani, W. K., Zaib, A., Yeniay, Ö., Shah, H., Tairan, N. M., & Sulaiman, M. (2019). Hybrid Constrained Evolutionary Algorithm for Numerical Optimization Problems. Hacettepe Journal of Mathematics and Statistics, 48(3), 931-950. https://izlik.org/JA96EK79WA
AMA
1.Mashwani WK, Zaib A, Yeniay Ö, Shah H, Tairan NM, Sulaiman M. Hybrid Constrained Evolutionary Algorithm for Numerical Optimization Problems. Hacettepe Journal of Mathematics and Statistics. 2019;48(3):931-950. https://izlik.org/JA96EK79WA
Chicago
Mashwani, Wali Khan, Alam Zaib, Özgür Yeniay, Habib Shah, Naseer Mansoor Tairan, and Muhammad Sulaiman. 2019. “Hybrid Constrained Evolutionary Algorithm for Numerical Optimization Problems”. Hacettepe Journal of Mathematics and Statistics 48 (3): 931-50. https://izlik.org/JA96EK79WA.
EndNote
Mashwani WK, Zaib A, Yeniay Ö, Shah H, Tairan NM, Sulaiman M (June 1, 2019) Hybrid Constrained Evolutionary Algorithm for Numerical Optimization Problems. Hacettepe Journal of Mathematics and Statistics 48 3 931–950.
IEEE
[1]W. K. Mashwani, A. Zaib, Ö. Yeniay, H. Shah, N. M. Tairan, and M. Sulaiman, “Hybrid Constrained Evolutionary Algorithm for Numerical Optimization Problems”, Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 3, pp. 931–950, June 2019, [Online]. Available: https://izlik.org/JA96EK79WA
ISNAD
Mashwani, Wali Khan - Zaib, Alam - Yeniay, Özgür - Shah, Habib - Tairan, Naseer Mansoor - Sulaiman, Muhammad. “Hybrid Constrained Evolutionary Algorithm for Numerical Optimization Problems”. Hacettepe Journal of Mathematics and Statistics 48/3 (June 1, 2019): 931-950. https://izlik.org/JA96EK79WA.
JAMA
1.Mashwani WK, Zaib A, Yeniay Ö, Shah H, Tairan NM, Sulaiman M. Hybrid Constrained Evolutionary Algorithm for Numerical Optimization Problems. Hacettepe Journal of Mathematics and Statistics. 2019;48:931–950.
MLA
Mashwani, Wali Khan, et al. “Hybrid Constrained Evolutionary Algorithm for Numerical Optimization Problems”. Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 3, June 2019, pp. 931-50, https://izlik.org/JA96EK79WA.
Vancouver
1.Wali Khan Mashwani, Alam Zaib, Özgür Yeniay, Habib Shah, Naseer Mansoor Tairan, Muhammad Sulaiman. Hybrid Constrained Evolutionary Algorithm for Numerical Optimization Problems. Hacettepe Journal of Mathematics and Statistics [Internet]. 2019 Jun. 1;48(3):931-50. Available from: https://izlik.org/JA96EK79WA