数学建模- - 高校硕士研究生招生指标分配问题(5)

2019-08-17 13:41

85.2 46 63 136.0026 2 33.2 25 108.3];

c4=[2 0 0 0 3 2 1 1 1 1 0 0 6 0 0 1 1 3 0

0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 3 1 3 0 0 3 0 0 0 02 2 1 0 1 0 0 0];

0 3 6 1 5 2 1 1 2 0 0 0 0 2 0 0 0 0 00 0 0 0 0 0 0 0 0 5 3 4 1 6 3 1 1 10 0e4=[0 0 4 4 0 0 0 0 0 0 4 0 0 2 8 13 3 6 1

8 10 12 10 7 0 0 1];

f4=[0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 4 5 2 0 1 1 0 0 0];

g4=[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 0 0 0 0 0 0 0 0 0];

h4=[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0];

j4=[0 0 2 0 2 0 1 0 0 0 0 0 3 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1

0 1 0 0 0 0 0 0];

%岗位五的所有数据

a5=[8 8 7 7 7 6 5 6 8 5 b5=[3.5 3 90 1 3 56.4

0 23

2];

c5=[0 2 0 0 1 1 0 0 1 0 e5=[1 11 1 3 7 8 4 0 1 4 f5=[21 1 1 4 6 2 0 4 0 1 g5=[0 0 0 0 0 0 0 0 0 0 h5=[0 0 0 0 0 1 0 0 0 0 j5=[0 0 0 0 1 1 0 0 0 0 %岗位六的所有数据

a6=[6 6 8 9 8 3 9 6 6 9 7 8 7 6 6 6 6 13 6 7 b6=[8 24.8

804 5 3 791 0 36.8

69.5

10.2

0 7.6 14.3871

3 143.9 60.2 524.02 59 203.16 2 c6=[0 0 1 1 0 1 2 0 0 0

0 0 0 0 0 8 0 2 0 1 e6=[7 1 10 10 0 1 6 0 2 0 19

0 0 2 2 1 0 2 0 0 0 0 0 0 0 0 0 6 0 0 1 3 0 1 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 8 11 9 6 7 5]; 41 80.95 39 114.5 46 2 0 1 1 0 0 1]; 2 1 4 1 1 0]; 0 1 5 1 1 0]; 0 1 0 0 0 0]; 0 0 0 0 0 0]; 0 0 0 0 0 0];

7 8 6 9 8 9 8 8 8 8 6 9];

38 29.2

17.5

7.5 29 46

14 82.1314

82.3

20.6

78 246.98 0];

0 0 0 0 0 0 0 0 0 0 0 0];

7 0 0 1 2 1 0 0 5

000

000

100

3057

70

0

0 1 2 4 3 0 0 7 4 8 4 1 4 0]; 0 2 0 5 7 1 4 2 0 2 0 0 3 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]; 0 0 0 0 0 0 0 0 0 0 0 1 0 0];

f6=[6 1 0 6 5 0 6 2 9 0 7 0 0 0 0 0 0 0 0g6=[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0h6=[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0j6=[0 0 2 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1%岗位七的所有数据

a7=[8 6 4 4 2 1 4 2 3 1 2 5 2 1 2 3 1 1 2

2 1 5 2 5 2 6 6 2 1 0 0 1 1 1 1 1 1 43 1 1 4 3 5 2 4 1 1 2 1 5 4 1 3 2 4 41 1 1 5 6 3 5 1 3 1 5 0 1 3 4 3 5 1 11 0 0 4 6 4 4 2 1 1 1 2 1 1 6 1 2 3 11 1 4 1 1 0 2 6 3 7 1 3 3 3 1 1 6 4 63 1 2 2 3 2 1 1 5 5 4 5 2 3 1 3 1 6 52 3 4 4 4 0 0 6 2 4 1 4 2 1 1 3 1 3 32 1 2 2 1 1 1 2 3 1 1 1 1 3 4 4 0 0 00 2 9 5 4 8 4 5 1 4 1 1];

13 49.25 48.4

68.1

27.6

48 23.831.191 18.6

12.6

87.35 0 27.491 0 38.2

24.8

21.8

138 0 23 76.6

b7=[115.8 37 0 4.8 6.8 72.5

7 17 19 23.8 0 19.6 27.1

0 0 0 0 0 0 0 219 7 26.09 5 1.1 39.6

0 30 4 9.2 9 0 117.6

282.1792 70 12

17 0

3.9584 67 15.5

56.6

63 85

33 23 53.6

0 15 11 79 8 0 3.6 18 2.5 23.5

9 13.4

16.2

20.6 23.4

21 37 7.8 7 14.4

23.6

5 31 28.4

5.45

239.5 63.5 70.8

23 23.93 23.6

0 9.3 15 0 5 24.85 28.6 215.8 3.6 0 0 23.1 23 14.2 42.1768 90.1 41.5

14.4 42.5398

0 103.1 73.4

29 10.5

61.1

11 3.8135 0 7 0 0.3 1.5 0 12 4 1.1 1 0 2 0 5

3 15.3

20.6

32 0 27.3

81.8

0 83.6845

21.7

82.4

404 0 7.7 29 52.52 390.1229 0 194.9

42.8

56.325 24.8

17.4 50.9];

26.4

8.6018 46 24 28.5

71.64 146.5 547.6 27.9 112 20.4

18.6 22 81.3

28 24 24.6

c7=[13 2 1 0 1 0 0 1 3 0 0 1 0 0 0 1 0 2 0

0 0 0 0 0 2 0 2 0 1 1 1 0 0 0 0 0 0 00 0 0 0 0 4 0 2 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 1 0 0 0 0 0 1 0 6 1 1 0 3 01 4 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 00 0 0 0 0 2 0 4 1 0 0 1 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 00 2 0 0 0 1 1 3 0 0 0 5 2 0 1 1 0 0 00 1 2 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1

20

1 0 1 1 0 3 2 1 0 1 0 0];

2 0 4 0 9 9 2 6 5 0 0 0 3 0 0 0 0 1 03 0 0 1 4 7 1 0 1 0 17 3 3 1 2 0 9 0 42 2 6 0 2 3 0 0 13 0 1 0 0 2 2 1 0 0 00 0 0 0 6 0 0 1 2 2 0 0 0 0 0 1 7 1 03 11 3 2 2 0 0 2 1 1 0 2 0 9 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 34 0 4 4 0 0 0 0 2 6 0 7 2 1 1 4 0 1 1e7=[6 2 2 5 13 0 0 6 3 2 2 2 7 1 1 2 0 5 1

2 6 0 3 f7=[3 0 0 1 11 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 g7=[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 h7=[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 j7=[0 0 0 0

0 0

0 0 0 7 6 6 2 0 5 4 10 2 0 1 25 0 0 0 0 0 8 1 0 0 0 0 0 5 4 0 1 0 1 0 0 1 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 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 0 0 0 0 0 0 0 0 0 0 0 3 0 1 9 1 1 0 22 4 0 0 2 5 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 1 0 0 1 0 3 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 4 0 1 3 0 7 16 8 0 22 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 4 0 1 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 21

4 0 0 4];

0 5 21 0 0 0 0 0 0 0 0 0 0 0 1 0 0 3 0 0 0 0 0 0 4 0 0 0];

0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 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 0 0];

0 0 0 0 0 0 0 0 0 4 3 0 0 6 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 3 0 0 0 4 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 07 7

7 00 01 10 00 02 13 00 00 0

0 00 00 00 00 00 00 00 00 0

0 00 00 00 00 00 00 00 00 0

0 00 0

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0 0];

x=[13 5 3 2 0 0 0 1];

n1=length(a1); %判断数据长度 n2=length(a2); n3=length(a3); n4=length(a4); n5=length(a5); n6=length(a6); n7=length(a7);

z1=[a1;b1;c1;e1;f1;g1;h1;j1]; %合并数据 z2=[a2;b2;c2;e2;f2;g2;h2;j2]; z3=[a3;b3;c3;e3;f3;g3;h3;j3]; z4=[a4;b4;c4;e4;f4;g4;h4;j4]; z5=[a5;b5;c5;e5;f5;g5;h5;j5]; z6=[a6;b6;c6;e6;f6;g6;h6;j6]; z7=[a7;b7;c7;e7;f7;g7;h7;j7];

t1=sum(z1')'/n1 %求平均值向量 t2=sum(z2')'/n2 t3=sum(z3')'/n3 t4=sum(z4')'/n4 t5=sum(z5')'/n5 t6=sum(z6')'/n6 t7=sum(z7')'/n7

tt1=[t1(1)*ones(1,n1);t1(2)*ones(1,n1);t1(3)*ones(1,n1);t1(4)*ones(1,n1);t1(5)*ones(1,n1);t1(6)*ones(1,n1);t1(7)*ones(1,n1);t1(8)*ones(1,n1)];

tt2=[t2(1)*ones(1,n2);t2(2)*ones(1,n2);t2(3)*ones(1,n2);t2(4)*ones(1,n2);t2(5)*ones(1,n2);t2(6)*ones(1,n2);t2(7)*ones(1,n2);t2(8)*ones(1,n2)];

tt3=[t3(1)*ones(1,n3);t3(2)*ones(1,n3);t3(3)*ones(1,n3);t3(4)*ones(1,n3);t3(5)*ones(1,n3);t3(6)*ones(1,n3);t3(7)*ones(1,n3);t3(8)*ones(1,n3)];

tt4=[t4(1)*ones(1,n4);t4(2)*ones(1,n4);t4(3)*ones(1,n4);t4(4)*ones(1,

22

n4);t4(5)*ones(1,n4);t4(6)*ones(1,n4);t4(7)*ones(1,n4);t4(8)*ones(1,n4)];

tt5=[t5(1)*ones(1,n5);t5(2)*ones(1,n5);t5(3)*ones(1,n5);t5(4)*ones(1,n5);t5(5)*ones(1,n5);t5(6)*ones(1,n5);t5(7)*ones(1,n5);t5(8)*ones(1,n5)];

tt6=[t6(1)*ones(1,n6);t6(2)*ones(1,n6);t6(3)*ones(1,n6);t6(4)*ones(1,n6);t6(5)*ones(1,n6);t6(6)*ones(1,n6);t6(7)*ones(1,n6);t6(8)*ones(1,n6)];

tt7=[t7(1)*ones(1,n7);t7(2)*ones(1,n7);t7(3)*ones(1,n7);t7(4)*ones(1,n7);t7(5)*ones(1,n7);t7(6)*ones(1,n7);t7(7)*ones(1,n7);t7(8)*ones(1,n7)];

s1=(z1-tt1)*(z1-tt1)' %求协方差矩阵 s2=(z2-tt2)*(z2-tt2)' s3=(z3-tt3)*(z3-tt3)' s4=(z4-tt4)*(z4-tt4)' s5=(z5-tt5)*(z5-tt5)' s6=(z6-tt6)*(z6-tt6)' s7=(z7-tt7)*(z7-tt7)'

s11=pinv(s1) s12=pinv(s2) s13=pinv(s3) s14=pinv(s4) s15=pinv(s5) s16=pinv(s6) s17=pinv(s7)

d1=sqrt((x'-t1)'*s11*(x'-t1)) %判断样本1即x属于哪个总体 d2=sqrt((x'-t2)'*s12*(x'-t2)) d3=sqrt((x'-t3)'*s13*(x'-t3)) d4=sqrt((x'-t4)'*s14*(x'-t4)) d5=sqrt((x'-t5)'*s15*(x'-t5)) d6=sqrt((x'-t6)'*s16*(x'-t6)) d7=sqrt((x'-t7)'*s17*(x'-t7))

附录2

1图:

x1=[5.22 5.94 5.50 4.83 3.78]; x2=[3.08 3.77 3.38 4.62 3.54]; x3=[2.31 3.13 2.63 3.94 2.75]; x4=[1.11 1.52 1.92 2.55 2.26]; x5=[0.75 0.69 1.50 2.12 2.00];

23


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