function?child_offspring??=?genetic_operator（parent_selected）
global?V?xl?xu?etac?

%?1.?交叉&變異
%?2.?選擇錦標賽完成后的個體進行交叉變異；
%?3.?輸出?‘child_offspring‘.?

%%?Reference?
%?Deb?&?samir?agrawal“A?Niched-Penalty?Approach?for?Constraint?Handling?in?Genetic?Algorithms“.?
%%?SBX?cross?over?operation?incorporating?boundary?constraint
[N]?=?size（parent_selected1）;
xl1=xl‘;
xu1=xu‘;
rc=randperm（N）;
for?i=1:（N/2）
????parent1=parent_selected（（rc（2*i-1））:）;
????parent2=parent_selected（（rc（2*i））:）;
????if?（isequal（parent1parent2））==1?&?rand（1）>0.5
????????child1=parent1;
????????child2=parent2;
????else?
????????for?j?=?1:?V??
????????????if?parent1（j）???????????????beta（j）=?1?+?（2/（parent2（j）-parent1（j）））*（min（（parent1（j）-xl1（j））（xu1（j）-parent2（j））））;
????????????else
???????????????beta（j）=?1?+?（2/（parent1（j）-parent2（j）））*（min（（parent2（j）-xl1（j））（xu1（j）-parent1（j））））;
????????????end???
????????end
?????????u=rand（1V）;
?????????alpha=2-beta.^-（etac+1）;
?????????betaq=（u<=（1./alpha））.*（u.*alpha）.^（1/（etac+1））+（u>（1./alpha））.*（1./（2?-?u.*alpha））.^（1/（etac+1））;
????????child1=0.5*（（（1?+?betaq）.*parent1）?+?（1?-?betaq）.*parent2）;
????????child2=0.5*（（（1?-?betaq）.*parent1）?+?（1?+?betaq）.*parent2）;
????end
????child_offspring（（rc（2*i-1））:）=poly_mutation（child1）;???????????%?polynomial?mutation
????child_offspring（（rc（2*i））:）=poly_mutation（child2）;?????????????%?polynomial?mutation
end

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????目錄???????????0??2019-10-26?00:21??Constrained?NSGA2\
?????文件????????4682??2019-10-25?23:42??Constrained?NSGA2\Main_NSGA2.m
?????文件????????5637??2019-10-25?22:25??Constrained?NSGA2\NDS_CD_cons.m
?????文件????????2063??2015-02-24?10:48??Constrained?NSGA2\Readme.m
?????文件????????1465??2019-10-25?23:14??Constrained?NSGA2\genetic_operator.m
?????文件????????1319??2015-02-24?10:48??Constrained?NSGA2\license.txt
?????文件?????????686??2019-10-25?18:27??Constrained?NSGA2\normalisation.m
?????文件?????????582??2015-02-24?10:48??Constrained?NSGA2\poly_mutation.m
?????文件?????????611??2019-10-25?23:24??Constrained?NSGA2\replacement.m
?????文件????????3458??2019-10-25?05:54??Constrained?NSGA2\test_case.m
?????文件????????1575??2019-10-25?23:12??Constrained?NSGA2\tour_selection.m