?? max_internal.m
字號:
function [F,properties,arguments]=max_model(X,method,options,extstruct)
switch method
case 'graph'
arguments=[];
if length(extstruct.arg) == 1
basis = getbase(extstruct.arg{1});
inf_row = find(basis(:,1) == -inf);
if length(inf_row)>0
extstruct.arg{1}(inf_row) = [];
end
F = set(extstruct.var - extstruct.arg{1});
arguments = extstruct.arg{1}(:);
else
arguments=[];
F = set([]);
for j = 1:length(extstruct.arg)
basis = getbase(extstruct.arg{j});
inf_row = find(basis(:,1) == -inf);
if length(inf_row)>0
extstruct.arg{j}(inf_row) = [];
end
F = F + set(extstruct.var - extstruct.arg{j});
arguments = [arguments;extstruct.arg{j}(:)];
end
end
properties = struct('convexity','convex','monotonicity','increasing','definiteness','none');
case 'milp'
arguments = [];
F = set([]);
t = extstruct.var;
for j = 1:length(extstruct.arg) % MAX(x,y)
basis = getbase(extstruct.arg{j});
inf_row = find(basis(:,1) == -inf);
if length(inf_row)>0
extstruct.arg{j}(inf_row) = [];
end
X = extstruct.arg{j};
X = reshape(X,length(X),1);
if prod(size(X)) == 1
F = F + set(X == t);
else
[M,m] = derivebounds(X);
%M = min(100,M);
%m = max(-100,m);
n = length(X);
d = binvar(n,1);
F = F + set(sum(d)==1);
F = F + set(-(max(M)-min(m))*(1-d) <= t-X <= (max(M)-min(m))*(1-d));
kk = [];
ii = [];
for i = 1:n
k = [1:1:i-1 i+1:1:n]';
ii = [ii;repmat(i,n-1,1)];
kk = [kk;k];
Mm = M(k)-m(i);
end
xii = extsubsref(X,ii);
dii = extsubsref(d,ii);
xkk = extsubsref(X,kk);
F = F + set(xkk <= xii+(M(kk)-m(ii)).*(1-dii));
end
arguments = [arguments;extstruct.arg{j}(:)];
end
properties = struct('convexity','exact','monotonicity','exact','definiteness','none');
otherwise
F = [];
return
end
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