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liushaojiang銀蟲 (小有名氣)
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[求助]
匈牙利算法的matlab編程求助
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一個(gè)13*13的矩陣[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 23.5 21.2 28.8 35 36.4 52.5 47.2 55 53.5 60 0 0 0 61 57.5 56.5 56 47 36 27 18 14 20 0 0 0 23.6 24.5 19 6 4 18 21 29 37.5 45 0 0 0 10 29 19 8 21 35.5 37 44.5 55 63 0 0 0 29 25 19.5 20 7 22.5 12 27.5 33.5 40 0 0 0 33 27 25 26 14.5 22 12 17.5 25 35 0 0 0 56 50 48 40 36.5 28 22 15.5 26.5 30 0 0 0 65 62 60 55 50 48.5 35 25 27 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]用匈牙利算法求出求5個(gè)不同行,不同列的最小的五個(gè)數(shù),哪位大神能給個(gè)程序可以實(shí)現(xiàn)的,網(wǎng)上好多匈牙利的matlab程序運(yùn)行這個(gè)矩陣后都死循環(huán)了,感激不盡! |
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鐵桿木蟲 (職業(yè)作家)
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這是我用過的匈牙利算法,代入你的13*13,可以得到正確結(jié)果, Perf = [ 0 0 0 0 0 0 0 0 0 0 0 0 1; ... 0 0 0 0 0 0 0 0 0 0 0 1 0; ... 0 0 0 0 0 0 0 0 0 0 1 0 0; ... 23.5 21.2 28.8 35 36.4 52.5 47.2 55 53.5 60 0 0 0; ... 61 57.5 56.5 56 47 36 27 18 14 20 0 0 0; ... 23.6 24.5 19 6 4 18 21 29 37.5 45 0 0 0; ... 10 29 19 8 21 35.5 37 44.5 55 63 0 0 0; ... 29 25 19.5 20 7 22.5 12 27.5 33.5 40 0 0 0; ... 33 27 25 26 14.5 22 12 17.5 25 35 0 0 0; ... 56 50 48 40 36.5 28 22 15.5 26.5 30 0 0 0; ... 65 62 60 55 50 48.5 35 25 27 20 0 0 0; ... 0 0 0 0 0 0 0 0 0 0 0 0 0; ... 0 0 0 0 0 0 0 0 0 0 0 0 0]; ====================================================== function [Matching] = xiongyali(Perf) Matching = zeros(size(Perf)); num_y = sum(~isinf(Perf),1); num_x = sum(~isinf(Perf),2); x_con = find(num_x~=0); y_con = find(num_y~=0); P_size = max(length(x_con),length(y_con)); P_cond = zeros(P_size); P_cond(1:length(x_con),1:length(y_con)) = Perf(x_con,y_con); if isempty(P_cond) Cost = 0; return end Edge = P_cond; Edge(P_cond~=Inf) = 0; cnum = min_line_cover(Edge); Pmax = max(max(P_cond(P_cond~=Inf))); P_size = length(P_cond)+cnum; P_cond = ones(P_size)*Pmax; P_cond(1:length(x_con),1:length(y_con)) = Perf(x_con,y_con); %************************************************* exit_flag = 1; stepnum = 1; while exit_flag switch stepnum case 1 [P_cond,stepnum] = step1(P_cond); case 2 [r_cov,c_cov,M,stepnum] = step2(P_cond); case 3 [c_cov,stepnum] = step3(M,P_size); case 4 [M,r_cov,c_cov,Z_r,Z_c,stepnum] = step4(P_cond,r_cov,c_cov,M); case 5 [M,r_cov,c_cov,stepnum] = step5(M,Z_r,Z_c,r_cov,c_cov); case 6 [P_cond,stepnum] = step6(P_cond,r_cov,c_cov); case 7 exit_flag = 0; end end Matching(x_con,y_con) = M(1:length(x_con),1:length(y_con)); Cost = sum(sum(Perf(Matching==1))); function [P_cond,stepnum] = step1(P_cond) P_size = length(P_cond); % Loop throught each row for ii = 1 _sizermin = min(P_cond(ii, );P_cond(ii, = P_cond(ii, -rmin;end stepnum = 2; function [r_cov,c_cov,M,stepnum] = step2(P_cond) P_size = length(P_cond); r_cov = zeros(P_size,1); c_cov = zeros(P_size,1); M = zeros(P_size); for ii = 1 _sizefor jj = 1 _sizeif P_cond(ii,jj) == 0 && r_cov(ii) == 0 && c_cov(jj) == 0 M(ii,jj) = 1; r_cov(ii) = 1; c_cov(jj) = 1; end end end r_cov = zeros(P_size,1); c_cov = zeros(P_size,1); stepnum = 3; function [c_cov,stepnum] = step3(M,P_size) c_cov = sum(M,1); if sum(c_cov) == P_size stepnum = 7; else stepnum = 4; end function [M,r_cov,c_cov,Z_r,Z_c,stepnum] = step4(P_cond,r_cov,c_cov,M) P_size = length(P_cond); zflag = 1; while zflag row = 0; col = 0; exit_flag = 1; ii = 1; jj = 1; while exit_flag if P_cond(ii,jj) == 0 && r_cov(ii) == 0 && c_cov(jj) == 0 row = ii; col = jj; exit_flag = 0; end jj = jj + 1; if jj > P_size; jj = 1; ii = ii+1; end if ii > P_size; exit_flag = 0; end end if row == 0 stepnum = 6; zflag = 0; Z_r = 0; Z_c = 0; else M(row,col) = 2; if sum(find(M(row, ==1)) ~= 0r_cov(row) = 1; zcol = find(M(row, ==1);c_cov(zcol) = 0; else stepnum = 5; zflag = 0; Z_r = row; Z_c = col; end end end function [M,r_cov,c_cov,stepnum] = step5(M,Z_r,Z_c,r_cov,c_cov) zflag = 1; ii = 1; while zflag rindex = find(M(:,Z_c(ii))==1); if rindex > 0 ii = ii+1; Z_r(ii,1) = rindex; Z_c(ii,1) = Z_c(ii-1); else zflag = 0; end if zflag == 1; cindex = find(M(Z_r(ii), ==2);ii = ii+1; Z_r(ii,1) = Z_r(ii-1); Z_c(ii,1) = cindex; end end for ii = 1:length(Z_r) if M(Z_r(ii),Z_c(ii)) == 1 M(Z_r(ii),Z_c(ii)) = 0; else M(Z_r(ii),Z_c(ii)) = 1; end end r_cov = r_cov.*0; c_cov = c_cov.*0; M(M==2) = 0; stepnum = 3; function [P_cond,stepnum] = step6(P_cond,r_cov,c_cov) a = find(r_cov == 0); b = find(c_cov == 0); minval = min(min(P_cond(a,b))); P_cond(find(r_cov == 1), = P_cond(find(r_cov == 1), + minval;P_cond(:,find(c_cov == 0)) = P_cond(:,find(c_cov == 0)) - minval; stepnum = 4; function cnum = min_line_cover(Edge) [r_cov,c_cov,M,stepnum] = step2(Edge); [c_cov,stepnum] = step3(M,length(Edge)); [M,r_cov,c_cov,Z_r,Z_c,stepnum] = step4(Edge,r_cov,c_cov,M); cnum = length(Edge)-sum(r_cov)-sum(c_cov); |
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小蟲的自動(dòng)真惡心表情 ========================================= function [Matching] = xiongyali(Perf) Matching = zeros(size(Perf)); num_y = sum(~isinf(Perf),1); num_x = sum(~isinf(Perf),2); x_con = find(num_x~=0); y_con = find(num_y~=0); P_size = max(length(x_con),length(y_con)); P_cond = zeros(P_size); P_cond(1:length(x_con),1:length(y_con)) = Perf(x_con,y_con); if isempty(P_cond) Cost = 0; return end Edge = P_cond; Edge(P_cond~=Inf) = 0; cnum = min_line_cover(Edge); Pmax = max(max(P_cond(P_cond~=Inf))); P_size = length(P_cond)+cnum; P_cond = ones(P_size)*Pmax; P_cond(1:length(x_con),1:length(y_con)) = Perf(x_con,y_con); %************************************************* exit_flag = 1; stepnum = 1; while exit_flag switch stepnum case 1 [P_cond,stepnum] = step1(P_cond); case 2 [r_cov,c_cov,M,stepnum] = step2(P_cond); case 3 [c_cov,stepnum] = step3(M,P_size); case 4 [M,r_cov,c_cov,Z_r,Z_c,stepnum] = step4(P_cond,r_cov,c_cov,M); case 5 [M,r_cov,c_cov,stepnum] = step5(M,Z_r,Z_c,r_cov,c_cov); case 6 [P_cond,stepnum] = step6(P_cond,r_cov,c_cov); case 7 exit_flag = 0; end end Matching(x_con,y_con) = M(1:length(x_con),1:length(y_con)); Cost = sum(sum(Perf(Matching==1))); function [P_cond,stepnum] = step1(P_cond) P_size = length(P_cond); % Loop throught each row for ii = 1 _sizermin = min(P_cond(ii,: )); P_cond(ii,: ) = P_cond(ii,: )-rmin; end stepnum = 2; function [r_cov,c_cov,M,stepnum] = step2(P_cond) P_size = length(P_cond); r_cov = zeros(P_size,1); c_cov = zeros(P_size,1); M = zeros(P_size); for ii = 1 _sizefor jj = 1 _sizeif P_cond(ii,jj) == 0 && r_cov(ii) == 0 && c_cov(jj) == 0 M(ii,jj) = 1; r_cov(ii) = 1; c_cov(jj) = 1; end end end r_cov = zeros(P_size,1); c_cov = zeros(P_size,1); stepnum = 3; function [c_cov,stepnum] = step3(M,P_size) c_cov = sum(M,1); if sum(c_cov) == P_size stepnum = 7; else stepnum = 4; end function [M,r_cov,c_cov,Z_r,Z_c,stepnum] = step4(P_cond,r_cov,c_cov,M) P_size = length(P_cond); zflag = 1; while zflag row = 0; col = 0; exit_flag = 1; ii = 1; jj = 1; while exit_flag if P_cond(ii,jj) == 0 && r_cov(ii) == 0 && c_cov(jj) == 0 row = ii; col = jj; exit_flag = 0; end jj = jj + 1; if jj > P_size; jj = 1; ii = ii+1; end if ii > P_size; exit_flag = 0; end end if row == 0 stepnum = 6; zflag = 0; Z_r = 0; Z_c = 0; else M(row,col) = 2; if sum(find(M(row,: )==1)) ~= 0 r_cov(row) = 1; zcol = find(M(row,: )==1); c_cov(zcol) = 0; else stepnum = 5; zflag = 0; Z_r = row; Z_c = col; end end end function [M,r_cov,c_cov,stepnum] = step5(M,Z_r,Z_c,r_cov,c_cov) zflag = 1; ii = 1; while zflag rindex = find(M(:,Z_c(ii))==1); if rindex > 0 ii = ii+1; Z_r(ii,1) = rindex; Z_c(ii,1) = Z_c(ii-1); else zflag = 0; end if zflag == 1; cindex = find(M(Z_r(ii),: )==2); ii = ii+1; Z_r(ii,1) = Z_r(ii-1); Z_c(ii,1) = cindex; end end for ii = 1:length(Z_r) if M(Z_r(ii),Z_c(ii)) == 1 M(Z_r(ii),Z_c(ii)) = 0; else M(Z_r(ii),Z_c(ii)) = 1; end end r_cov = r_cov.*0; c_cov = c_cov.*0; M(M==2) = 0; stepnum = 3; function [P_cond,stepnum] = step6(P_cond,r_cov,c_cov) a = find(r_cov == 0); b = find(c_cov == 0); minval = min(min(P_cond(a,b))); P_cond(find(r_cov == 1),: ) = P_cond(find(r_cov == 1),: ) + minval; P_cond(:,find(c_cov == 0)) = P_cond(:,find(c_cov == 0)) - minval; stepnum = 4; function cnum = min_line_cover(Edge) [r_cov,c_cov,M,stepnum] = step2(Edge); [c_cov,stepnum] = step3(M,length(Edge)); [M,r_cov,c_cov,Z_r,Z_c,stepnum] = step4(Edge,r_cov,c_cov,M); cnum = length(Edge)-sum(r_cov)-sum(c_cov); |
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