Test functions for optimization: Difference between revisions

Revision as of 10:16, 24 October 2019

Revision as of 00:21, 25 October 2019

Line 234:

! Name !! Plot !! Functions !! Constraints !! Search ___domain

|-

| [[Binh and Korn function]]:<ref name="Binh97"/>

| [[Binh and Korn function]]:<ref name="Binh97">Binh T. and Korn U. (1997) [https://pdfs.semanticscholar.org/cf68/41a6848ca2023342519b0e0e536b88bdea1d.pdf MOBES: A Multiobjective Evolution Strategy for Constrained Optimization Problems]. In: Proceedings of the Third International Conference on Genetic Algorithms. Czech Republic. pp. 176–182</ref>

|| [[File:Binh and Korn function.pdf|200px|Binh and Korn function]]

|| <math>\text{Minimize} =

Line 352:

||<math>-\pi\le x,y \le \pi</math>

|-

| Zitzler–Deb–Thiele's function N. 1:<ref name="Debetal2002testpr">{{cite journal |last1=Deb |first1=Kalyan |last2=Thiele |first2=L. |last3=Laumanns |first3=Marco |last4=Zitzler |first4=Eckart |title=Scalable multi-objective optimization test problems |journal=Proc. of 2002 IEEE Congress on Evolutionary Computation |date=2002 |volume=1 |pages=825-830825–830 |doi=10.1109/CEC.2002.1007032}}</ref>

|| [[File:Zitzler-Deb-Thiele's function 1.pdf|200px|Zitzler-Deb-Thiele's function N.1]]

|| <math>\text{Minimize} =

Line 417:

||<math>0\le x_{i} \le 1</math>, <math>1\le i \le 10</math>.

|-

| Osyczka and Kundu function:<ref name="OsyczkaKundu1995">{{cite journal |last1=Osyczka |first1=A. |last2=Kundu |first2=S. |title=A new method to solve generalized multicriteria optimization problems using the simple genetic algorithm |journal=Structural optimization |date=011 OctOctober 1995 |volume=10 |issue=2 |pages=94--9994–99 |doi=10.1007/BF01743536 |url=https://doi.org/10.1007/BF01743536 |issn=1615-1488}}</ref>

|| [[File:Osyczka and Kundu function.pdf|200px|Osyczka and Kundu function]]

||<math>\text{Minimize} =

Line 438:

|| <math>0\le x_{1},x_{2},x_{6} \le 10</math>, <math>1\le x_{3},x_{5} \le 5</math>, <math>0\le x_{4} \le 6</math>.

|-

| CTP1 function (2 variables):<ref name="Deb:2002"/><ref name="Jimenezetal2002">{{cite journal |last1=Jimenez |first1=F. |last2=Gomez-Skarmeta |first2=A. F. |last3=Sanchez |first3=G. |last4=Deb |first4=K. |title=An evolutionary algorithm for constrained multi-objective optimization |journal=Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600) |date=May 2002 |volume=2 |pages=1133-11381133–1138 |doi=10.1109/CEC.2002.1004402}}</ref>

|| [[File:CTP1 function (2 variables).pdf|200px|CTP1 function (2 variables).<ref name="Deb:2002" />]]

|| <math>\text{Minimize} =