错误显示:
second
错误使用 vertcat
要串联的数组的维度不一致。
出错 second (第 2 行)
city_data = [
代码:
% 数据预处理
city_data = [
1 '分销商' 37 16 199
2 '分销商' 63 2 219
3 '分销商' 78 60 70
4 '分销商' 8 40 200
5 '分销商' 93 38 162
6 '分销商' 78 72 85
7 '分销商' 49 49 256
8 '分销商' 44 49 287
9 '分销商' 45 69 192
10 '分销商' 31 64 193
11 '总代理' 51 46 32
12 '分销商' 51 15 194
13 '一级代理' 82 19 191
14 '分销商' 79 71 97
15 '分销商' 64 2 160
16 '分销商' 38 39 28
17 '分销商' 81 13 84
18 '分销商' 53 78 183
19 '分销商' 35 57 158
20 '分销商' 94 40 192
21 '分销商' 88 38 131
22 '分销商' 55 5 7
23 '分销商' 62 55 170
24 '分销商' 59 3 187
25 '分销商' 21 6 136
26 '分销商' 30 42 152
27 '分销商' 47 8 149
28 '分销商' 23 65 78
29 '一级代理' 84 65 131
30 '一级代理' 19 58 34
31 '一级代理' 23 12 141
32 '分销商' 17 53 6
33 '分销商' 23 41 55
34 '分销商' 44 78 9
35 '分销商' 31 52 19
36 '分销商' 92 64 165
37 '分销商' 43 36 139
38 '分销商' 18 35 63
39 '分销商' 90 66 190
40 '分销商' 98 7 7
41 '分销商' 44 11 88
42 '分销商' 11 14 76
43 '分销商' 26 31 153
44 '分销商' 41 67 159
45 '分销商' 59 64 37
46 '分销商' 26 5 98
47 '分销商' 60 32 89
48 '分销商' 71 42 129
49 '分销商' 22 33 142
50 '分销商' 12 53 151
51 '分销商' 30 50 55
52 '分销商' 32 23 136
53 '分销商' 42 35 131
54 '分销商' 51 1 33
55 '分销商' 9 79 24
56 '分销商' 26 13 100
57 '分销商' 80 8 192
58 '分销商' 3 30 68
59 '分销商' 93 16 117
60 '分销商' 73 39 45
61 '分销商' 49 27 150
62 '分销商' 58 76 51
63 '分销商' 24 74 101
64 '分销商' 46 4 140
65 '分销商' 96 59 178
66 '一级代理' 55 22 192
67 '分销商' 52 34 109
68 '分销商' 23 44 28
69 '分销商' 49 75 30
70 '分销商' 62 33 52
71 '分销商' 68 79 168
72 '分销商' 40 24 51
73 '总代理' 37 56 163
74 '分销商' 99 53 49
75 '分销商' 4 43 186
76 '分销商' 89 56 70
77 '分销商' 91 53 39
78 '分销商' 80 14 50
79 '分销商' 10 10 123
80 '分销商' 26 80 95
81 '分销商' 34 14 70
82 '分销商' 68 3 166
83 '分销商' 14 45 117
84 '分销商' 72 71 110
85 '分销商' 11 54 183
86 '分销商' 65 15 57
87 '分销商' 49 30 151
88 '分销商' 78 37 151
89 '分销商' 72 79 76
90 '分销商' 90 13 114
91 '分销商' 89 68 15
];
num_city = size(city_data, 1);
num_first_agent = sum(strcmp(city_data(:,2), '一级代理'));
num_distributor = sum(strcmp(city_data(:,2), '分销商'));
num_total_agent = num_first_agent + num_distributor;
x_pos = city_data(:, 3);
y_pos = city_data(:, 4);
% 目标函数
objective = zeros(num_city, num_city);
for i = 1:num_city
for j = 1:num_city
objective(i, j) = sqrt((x_pos(i) - x_pos(j))^2 + (y_pos(i) - y_pos(j))^2);
end
end
% 约束条件
A = [];
b = [];
Aeq = [];
beq = [];
lb = zeros(num_total_agent + num_first_agent + num_distributor, num_total_agent + num_first_agent + num_distributor);
ub = ones(num_total_agent + num_first_agent + num_distributor, num_total_agent + num_first_agent + num_distributor);
for i = 1:num_city
if strcmp(city_data(i, 2), '分销商')
distributor_idx = find(strcmp(city_data(:,2), '分销商'));
distributor_idx = [distributor_idx; find(strcmp(city_data(:,2), '总代理'))];
A = [A; zeros(1, num_total_agent + num_first_agent + num_distributor)];
A(end, i) = 1;
for j = 1:length(distributor_idx)
A = [A; zeros(1, num_total_agent + num_first_agent + num_distributor)];
A(end, distributor_idx(j)) = -1;
A(end, i) = 1;
b = [b; 0];
end
A = [A; zeros(1, num_total_agent + num_first_agent + num_distributor)];
A(end, distributor_idx) = -1;
A(end, i) = 1;
b = [b; -1];
elseif strcmp(city_data(i, 2), '总代理')
Aeq = [Aeq; zeros(1, num_total_agent + num_first_agent + num_distributor)];
Aeq(end, i) = 1;
elseif strcmp(city_data(i, 2), '一级代理')
first_agent_idx = find(strcmp(city_data(:,2), '一级代理'));
A = [A; zeros(1, num_total_agent + num_first_agent + num_distributor)];
A(end, i) = 1;
for j = 1:length(first_agent_idx)
A = [A; zeros(1, num_total_agent + num_first_agent + num_distributor)];
A(end, first_agent_idx(j)) = -1;
A(end, i) = 1;
b = [b; 0];
end
A = [A; zeros(1, num_total_agent + num_first_agent + num_distributor)];
A(end, first_agent_idx) = -1;
A(end, i) = 1;
b = [b; -1];
end
end
% 求解
f = reshape(objective, num_city^2, 1);
A = sparse(A);
b = sparse(b);
Aeq = sparse(Aeq);
beq = sparse(beq);
lb = reshape(lb, num_total_agent + num_first_agent + num_distributor, num_total_agent + num_first_agent + num_distributor);
ub = reshape(ub, num_total_agent + num_first_agent + num_distributor, num_total_agent + num_first_agent + num_distributor);
x = intlinprog(f, 1:(num_total_agent + num_first_agent + num_distributor)^2, A, b, Aeq, beq, lb, ub);
% 输出结果
result = reshape(x, num_total_agent + num_first_agent + num_distributor, num_total_agent + num_first_agent + num_distributor);
for i = 1:num_city
for j = 1:num_city
if result(i, j) == 1
fprintf('城市 %d 可以向城市 %d 转运\n', i, j);
end
end
end