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Performance evaluation of firefly algorithm with unconstrained optimization issues | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، Special Issue، اسفند 2021، صفحه 893-901 اصل مقاله (312.34 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5518 | ||
| نویسندگان | ||
| Elaf Sulaiman Khaleel* ؛ Eman T. Hamed؛ Huda I. Ahmed | ||
| Dep.of Op. Res. and Int. Tech., Faculty of Computer Sciences and Mathematics, University of Mosul, Iraq | ||
| تاریخ دریافت: 14 فروردین 1400، تاریخ بازنگری: 26 مرداد 1400، تاریخ پذیرش: 19 شهریور 1400 | ||
| چکیده | ||
| In this paper, we have investigated a new spectral Quasi-Newton (QN) algorithm. New search directions of the proposed algorithm increase its stability and increase the arrival to the optimum solution with a lowest cost value and our numerical applications on the standard Firefly Algorithm (FA)and the new proposed algorithm are powerful as in meta-heuristic field. Our new proposed algorithm has quite common uses in several sciences and engineering problems. Finally, our numerical results show that the proposed technique is the best and its accuracy higher than the accuracy of the standard FA. These numerical results are compared using statistical analysis to evaluate the efficiency and the robustness of new proposed algorithm. | ||
| کلیدواژهها | ||
| QN-method؛ self-scaling QN؛ conjugate gradient؛ unconstrained Optimization؛ Firefly algorithm | ||
| مراجع | ||
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[1] H.I. Ahmed, R.Z Al-Kawaz, A.Y. Al- Bayati, Spectral three-term constrained conjugate gradient algorithm for function minimizations, J. Appl. Math. , 2019( 2019) https://doi.org/10.1155/2020/3615208. [2] A.Y. Al-Bayati, M. Salah, New variable metric method for unconstrained non-linear optimization, Thesis, University of Mosul, Iraq 1994. [3] F.G. Al-Namat, G.M. Al-Naemi, Global convergence property with inexact line search for a new hybrid conjugate gradient method, Open Access Library J.(oalib), 7(2) (2020) 1–14 https://doi.org/10.4236/oalib.1106048. [4] S. Babaeizadeh, R. Ahmad, An Improved Article BEE Colony Algorithm for Constrained optimization, Res. J. Appl. Sci., 11(1) (2016).: 14-22. http://dx.doi.org/10.36478/rjasci.2016.14.22. [5] Y.H. Dai, L.Y. Yuan, A nonlinear conjugate gradient methods with a strong global convergence property, SIAM J. Optimization , 10(1)( 1999) 177-182 .https://doi.org/10.1137/S1052623497318992 [6] S. Gope, A.K. Goswami, P.K. Tiwari, S. Deb, Rescheduling of real power for congestion management with integration of pumped storage hydro unit using firefly algorithm, Intl. J. Electr. Power Energy Syst., 83(2016) 434-442. https://doi.10.15676/ijeei.2015.7.1.7. [7] E.T. Hamed, H.I. Ahmed, A.Y. Al-Bayati, A new hybrid algorithm for convex nonlinear unconstrained optimization, J. Appl. Math., 2019 ( 2019). , Article ID 8728196, 6 pages. https://doi.org/10.1155/2019/8728196.10. [8] E.T. Hamed, R.Z. Al-Kawaz, A.Y. Al- Bayati, New investigation for the Liu-Story scaled conjugate gradient method for nonlinear optimization, Hindawi J. Math., 2019 ( 2020). https://doi.org/10.1155/2019/6378368 [9] M.H. Ibrahim, M. Mustafa, Z.M. Azfi, A Modified Search Direction of Broyden Family Method and its Global Convergence, Journal of Engineering and Applied Sciences, 17(12) ( 2017) 4504-4507. [10] Huda Y. Najm, Eman T. Hamed, Huda I. Ahmed, Global Convergence of Conjugate Gradient Method in Unconstrained Optimization Problems ,AIP Conference Proceedings 2086, 030029 (2019) https://doi.org/10.1063/ 1.5095114. [11] X. S. Yang, Nature-Inspired Meta heuristic Algorithms, Luniver Press. 2008. https://link.springer.com. [12] A. Yelghi ,C. Kose, A modified firefly algorithm for global minimum optimization, Applied Soft Computing, 62(2018) 29-44. https://10.1016/j.asoc.2017.10.0322010.032124. | ||
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