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1、整数规划分支定界算法matlab通用源程序整数规划分支定界算法matlab通用源程序 %整数规划分支定界算法matlab通用源程序 %各参数的意义同matlab优化工具箱的线性规划函数linprog %调用前，输入参数要化成matlab的标准形式 x,val=kfz-f-3(n,f,a,b,aeq,beq,lb,ub) x=zeros(n,1); x1=zeros(n,1); m1=2; m2=1; x1,val1=linprog(f,a,b,aeq,beq,lb,ub); if (x1=0) x=x1; val=val1; elseif (round(x1)=x1) x=x1; val=va
2、l1; else e1=0,a,b,aeq,beq,lb,ub,x1,val1; e(1,1)=e1; zl=0; zu=-val1; while (zu=zl) for c=1:1:m2 if (m1=2) if (cell2mat(em1-1,c(1)=1) e1=1,0; e(m1,c*2-1)=e1; e(m1,c*2)=e1; continue; end; end; x1=cell2mat(em1-1,c(8); x2=zeros(n,1); s=0; s1=1; s2=1; lb1=cell2mat(em1-1,c(6); ub1=cell2mat(em1-1,c(7); lb2=
3、cell2mat(em1-1,c(6); ub2=cell2mat(em1-1,c(7); for d=1:1:n if (abs(round(x1(d)-x1(d)0.0001)&(s=0) s=1; lb1(d)=fix(x1(d)+1; if (a*lb1=b) s1=0; end; ub2(d)=fix(x1(d); if (a*lb2=b) s2=0; end; end; end; e1=s1,a,b,aeq,beq,lb1,ub1,0; e2=s2,a,b,aeq,beq,lb2,ub2,0; e(m1,c*2-1)=e1; e(m1,c*2)=e2; end; m1=m1+1;
4、m2=m2*2; for c=1:1:m2 if (cell2mat(em1-1,c(1)=0) x1,val1=linprog(f,cell2mat(em1-1,c( 2),cell2mat(em1-1,c(3),cell2mat(em1-1,c(4),cell2mat(em1-1,c(5),cell2mat(em1-1,c(6),cell2mat(em1-1,c(7); e1=cell2mat(em1-1,c(1),cell2mat(em1-1,c(2),cell2mat(em1-1,c(3),cell2mat(em1-1,c(4),cell2mat(em1-1,c(5),cell2mat(em1-1,c(6),cell2mat(em1-1,c(7),x1,val1; e(m1-1,c)=e1; end; z=val1; if (-z)(-zl) e1=1,0; e(m1-1,c)=e1; elseif (abs(round(x1)-x1)(-zu) zu=cell2mat(em1-1,c(9); end; end; end; for c=1:1:m2 if (cell2mat(em1-1,c(1)=0)&(cell2mat(em1-1,c(9)=zu) x=cell2mat(em1-1,c(8); end; end; val=zu; end;
