参考文献
[1]赵希男. 主成分分析法评价功能浅析[ J] . 系统工程, 1995, 13( 2) :24~ 27. [2]王丽.图论在算法设计中的应用[J]. 系统工程理论与实践,2007 [3]徐权智，杨晋浩，数学建模[M]，北京：高等教育出版社，2004
附录
附录一
邻接矩阵L
A B C D E F G H I J K L M N P Q R S T U V W X Y
A 0 Inf 24 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 20 Inf Inf Inf Inf 16 Inf
B Inf 0 Inf Inf Inf Inf Inf Inf 28 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 22 18 Inf
C 24 Inf 0 11 9 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 10 Inf Inf 15 Inf Inf
D Inf Inf 11 0 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 9 Inf 8 Inf Inf Inf Inf Inf Inf
E Inf Inf 9 Inf 0 8 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 6 9 Inf Inf Inf Inf
F Inf Inf Inf Inf 8 0 11 Inf Inf Inf Inf 10 Inf Inf Inf Inf Inf Inf Inf 14 Inf 11 Inf 11
A B C D E F G H I J
G Inf Inf Inf Inf Inf 11 0 Inf 10 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 15 Inf Inf
H Inf Inf Inf Inf Inf Inf Inf 0 Inf Inf 11 Inf 15 Inf 19 Inf Inf Inf Inf Inf Inf Inf Inf 8
I Inf 28 Inf Inf Inf Inf 10 Inf 0 Inf Inf Inf Inf Inf 19 Inf Inf Inf Inf Inf Inf Inf Inf 25
J Inf Inf Inf Inf Inf Inf Inf Inf Inf 0 Inf 8 Inf 6 Inf Inf Inf Inf Inf 8 Inf Inf Inf Inf
K Inf Inf Inf Inf Inf Inf Inf 11 Inf Inf 0 Inf 12 Inf 23 Inf Inf Inf Inf Inf Inf Inf Inf Inf
L Inf Inf Inf Inf Inf 10 Inf Inf Inf 8 Inf 0 9 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 10
M Inf Inf Inf Inf Inf Inf Inf 15 Inf Inf
N Inf Inf Inf Inf Inf Inf Inf Inf Inf 6
P Inf Inf Inf Inf Inf Inf Inf 19 19 Inf
Q Inf Inf Inf 9 Inf Inf Inf Inf Inf Inf
R Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf
S 20 Inf Inf 8 Inf Inf Inf Inf Inf Inf
T Inf Inf 10 Inf 6 Inf Inf Inf Inf Inf
U Inf Inf Inf Inf 9 14 Inf Inf Inf 8
V Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf
W Inf 22 15 Inf Inf 11 15 Inf Inf Inf
X 16 18 Inf Inf Inf Inf Inf Inf Inf Inf
Y Inf Inf Inf Inf Inf 11 Inf 8 25 Inf
K L M N P Q R S T U V W X Y 12 9 0 6 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 6 0 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 23 Inf Inf Inf 0 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 0 7 Inf Inf Inf 10 Inf Inf Inf Inf Inf Inf Inf Inf 7 0 12 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 12 0 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 0 Inf 7 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 0 15 Inf Inf Inf Inf Inf Inf Inf Inf 10 Inf Inf 7 15 0 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 0 8 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 8 0 Inf Inf 10 Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf Inf 0
附录二
最短距离矩阵D
A B C D E F G H I J K L M N P Q R S T U V W X Y
A 0 34 24 28 33 35 39 54 49 50 65 45 54 56 68 37 32 20 34 42 41 24 16 46 B 34 0 37 48 41 33 37 52 28 51 63 43 52 57 47 57 64 54 47 47 54 22 18 44 C 24 37 0 11 9 17 28 36 38 26 47 27 36 32 55 20 27 19 10 18 17 15 23 28 D 28 48 11 0 20 28 39 47 49 37 58 38 47 43 66 9 16 8 21 29 19 26 34 39 E 33 41 9 20 0 8 19 27 29 17 38 18 27 23 46 23 30 28 6 9 13 19 27 19 F 35 33 17 28 8 0 11 19 21 18 30 10 19 24 38 31 38 36 14 14 21 11 19 11 G 39 37 28 39 19 11 0 30 10 29 41 21 30 35 29 42 49 47 25 25 32 15 23 22 H 54 52 36 47 27 19 30 0 33 26 11 18 15 21 19 50 57 55 33 33 40 30 38 8 I 49 28 38 49 29 21 10 33 0 39 42 31 40 45 19 52 59 57 35 35 42 25 33 25 J 50 51 26 37 17 18 29 26 39 0 24 8 12 6 45 33 40 45 23 8 23 29 37 18 K 65 63 47 58 38 30 41 11 42 24 0 21 12 18 23 57 64 66 44 32 47 41 49 19 L 45 43 27 38 18 10 21 18 31 8 21 0 9 14 37 41 48 46 24 16 31 21 29 10
A B C D E F G H I J K L M N P Q R S T U V W X Y
M 54 52 36 47 27 19 30 15 40 12 12 9 0 6 34 45 52 55 33 20 35 30 38 19
N 56 57 32 43 23 24 35 21 45 6 18 14 6 0 40 39 46 51 29 14 29 35 43 24
P 68 47 55 66 46 38 29 19 19 45 23 37 34 40 0 69 76 74 52 52 59 44 52 27
Q 37 57 20 9 23 31 42 50 52 33 57 41 45 39 69 0 7 17 17 25 10 35 43 42
R 32 64 27 16 30 38 49 57 59 40 64 48 52 46 76 7 0 12 24 32 17 42 48 49
S 20 54 19 8 28 36 47 55 57 45 66 46 55 51 74 17 12 0 29 37 27 34 36 47
T 34 47 10 21 6 14 25 33 35 23 44 24 33 29 52 17 24 29 0 15 7 25 33 25
U 42 47 18 29 9 14 25 33 35 8 32 16 20 14 52 25 32 37 15 0 15 25 33 25
V 41 54 17 19 13 21 32 40 42 23 47 31 35 29 59 10 17 27 7 15 0 32 40 32
W 24 22 15 26 19 11 15 30 25 29 41 21 30 35 44 35 42 34 25 25 32 0 8 22
X 16 18 23 34 27 19 23 38 33 37 49 29 38 43 52 43 48 36 33 33 40 8 0 30
Y 46 44 28 39 19 11 22 8 25 18 19 10 19 24 27 42 49 47 25 25 32 22 30 0
附录三
模拟程序一
clc clear
R=[10 12 18 6 10 15 4 8 7 11 13 11 11 8 9 22 14 8 7 10 15 28 18 13]; n=24; a=zeros(n);
a(1,3)=24;a(1,18)=20;a(1,23)=16; a(2,23)=18;a(2,22)=22;a(2,9)=28; a(3,5)=9;a(3,19)=10;a(3,4)=11;a(3,22)=15; a(4,16)=9;a(4,18)=8; a(5,19)=6;a(5,6)=8;a(5,20)=9;
a(6,7)=11;a(6,24)=11;a(6,12)=10;a(6,20)=14;a(6,22)=11; a(7,9)=10;a(7,22)=15;
a(8,15)=19;a(8,11)=11;a(8,13)=15;a(8,24)=8; a(9,15)=19;a(9,24)=25;
a(10,12)=8;a(10,14)=6;a(10,20)=8; a(11,13)=12;a(11,15)=23; a(12,24)=10;a(12,13)=9; a(13,14)=6;
a(16,17)=7;a(16,21)=10; a(17,18)=12; a(19,21)=7; a(20,21)=15; a(22,23)=8; a=a+a';
%Floyd算法求每对顶点之间的最短距离 M=max(max(a))*n^2;%M为充分大的正实数 d=a+((a==0)-eye(n))*M; path=zeros(n); for k=1:n for i=1:n for j=1:n
if d(i,j)>d(i,k)+d(k,j) d(i,j)=d(i,k)+d(k,j); path(i,j)=k; end end end end
%确定缴费站的位置 L=[];L1=[];L2=[];S=[];S(1)=0; k=2; for x=1:24 for y=1:24 for z=1:24 for n=1:24 L(1)=d(n,x); L(2)=d(n,y); L(3)=d(n,z); L1(n)=d(n)*min(L); end
S(k)=sum(L1)/sum(R); b=1:k-2; if(S(k)