>> gm13([0.2825 0.3183 0.3062 0.2945]) y5 =0.2833 c = 0.0015 p = 1
ans = 0.2825 0.3183 0.3061 0.2945 >> gm13([0.1810 0.1980 0.1735 0.1520]) y5 = 0.1331 c = 0.0060 p = 1
ans = 0.1810 0.1977 0.1733 0.1519 程序2： load hui
p1=hui(2,:)./hui(1,:); p2=hui(3,:)./hui(1,:); y1=gm12(p1) y2=gm12(p2) 输入： hui =
315 356 408 711 89 115 121 213 57 69 75 104 输出结果： >> jisuan1 y5 = 0.2833 y1 =
0.2825 0.3183 0.3062 0.2945 y5 = 0.1331
19
y2 =
0.1810 0.1980 0.1735 0.1520
附录5：利用LINGO软件计算预定宾馆的程序及结果：
Model:
min=x11+x12+x13+x14+x21+x22+x23+x24+x51+x52+x53+x61+x62+x63+x64+x71+x72+x73+x81+x82+x83+x91+x92+x93+x94;
x21+x22+x51+x52+x61+x71+x72+x82>=241; x21+x22+x51+x52+x61+x71+x72+x82<=452;
x11+x13+x23+x24+x53+x62+x63+x81+x83>=147; x11+x13+x23+x24+x53+x62+x63+x81+x83<=409; x12+x14+x64+x73+x91+x92+x93+x94>=72; x12+x14+x64+x73+x91+x92+x93+x94<=330;
x11+x12+x21+x22+x23+x24+x51+x52+x53+x62+x64+x71+x81+x82+x91+x93>186; x11+x12+x21+x22+x23+x24+x51+x52+x53+x62+x64+x71+x81+x82+x91+x93<=460; a11+a12+a21+a22+a23+a24+a51+a52+a53+a62+a64+a71+a81+a82+a91+a93=186;
b11+b12+b21+b22+b23+b24+b51+b52+b53+b62+b64+b71+b81+b82+b91+b93+x13+x14+x61+x63+x72+x73+x83+x92+x94=274; x11=a11+b11; x12=a12+b12; x21=a21+b21; x22=a22+b22; x23=a23+b23; x24=a24+b24; x51=a51+b51; x52=a52+b52; x53=a53+b53; x62=a62+b62; x64=a64+b64; x71=a71+b71; x81=a81+b81; x82=a82+b82; x91=a91+b91; x93=a93+b93; x11<=50; x12<=30; x13<=30; x14<=20; x21<=50; x22<=35; x23<=30; x24<=35; x51<=35; x52<=35; x53<=40; x61<=40; x62<=40; x63<=30; x64<=30; x71<=50; x72<=40; x73<=30; x81<=40; x82<=40; x83<=45; x91<=30; x92<=30; x93<=30; x94<=30;
20
end 结果：
Objective value: 460.0000 Total solver iterations: 14
Variable Value Reduced Cost X11 0.000000 0.000000 X12 30.00000 0.000000 X13 7.000000 0.000000 X14 0.000000 0.000000 X21 36.00000 0.000000 X22 0.000000 0.000000 X23 30.00000 0.000000 X24 35.00000 0.000000 X51 35.00000 0.000000 X52 0.000000 0.000000 X53 0.000000 0.000000 X61 40.00000 0.000000 X62 0.000000 0.000000 X63 30.00000 0.000000 X64 30.00000 0.000000 X71 50.00000 0.000000 X72 40.00000 0.000000 X73 0.000000 0.000000 X81 0.000000 0.000000 X82 40.00000 0.000000 X83 45.00000 0.000000 X91 12.00000 0.000000 X92 0.000000 0.000000 X93 0.000000 0.000000 X94 0.000000 0.000000 A11 0.000000 0.000000 A12 24.00000 0.000000 A21 0.000000 0.000000 A22 0.000000 0.000000 A23 30.00000 0.000000 A24 0.000000 0.000000 A51 0.000000 0.000000 A52 0.000000 0.000000 A53 0.000000 0.000000 A62 0.000000 0.000000 A64 30.00000 0.000000 A71 50.00000 0.000000 A81 0.000000 0.000000 A82 40.00000 0.000000 A91 12.00000 0.000000 A93 0.000000 0.000000 B11 0.000000 0.000000 B12 6.000000 0.000000 B21 36.00000 0.000000 B22 0.000000 0.000000 B23 0.000000 0.000000 B24 35.00000 0.000000 B51 35.00000 0.000000 B52 0.000000 0.000000 B53 0.000000 0.000000 B62 0.000000 0.000000 B64 0.000000 0.000000 B71 0.000000 0.000000 B81 0.000000 0.000000 B82 0.000000 0.000000
21
B91 0.000000 0.000000 B93 0.000000 0.000000
Row Slack or Surplus Dual Price 1 460.0000 -1.000000 2 0.000000 0.000000 3 211.0000 0.000000 4 0.000000 0.000000 5 262.0000 0.000000 6 0.000000 0.000000 7 258.0000 0.000000 8 112.0000 0.000000 9 162.0000 0.000000 10 0.000000 -1.000000 11 0.000000 -1.000000 12 0.000000 -1.000000 13 0.000000 -1.000000 14 0.000000 -1.000000 15 0.000000 -1.000000 16 0.000000 -1.000000 17 0.000000 -1.000000 18 0.000000 -1.000000 19 0.000000 -1.000000 20 0.000000 -1.000000 21 0.000000 -1.000000 22 0.000000 -1.000000 23 0.000000 -1.000000 24 0.000000 -1.000000 25 0.000000 -1.000000 26 0.000000 -1.000000 27 0.000000 -1.000000 28 50.00000 0.000000 29 0.000000 0.000000 30 23.00000 0.000000 31 20.00000 0.000000 32 14.00000 0.000000 33 35.00000 0.000000 34 0.000000 0.000000 35 0.000000 0.000000 36 0.000000 0.000000 37 35.00000 0.000000 38 40.00000 0.000000 39 0.000000 0.000000 40 40.00000 0.000000 41 0.000000 0.000000 42 0.000000 0.000000 43 0.000000 0.000000 44 0.000000 0.000000 45 30.00000 0.000000 46 40.00000 0.000000 47 0.000000 0.000000 48 0.000000 0.000000 49 18.00000 0.000000 50 30.00000 0.000000 51 30.00000 0.000000 52 30.00000 0.000000
附录6：利用LINDO软件计算租用会议室模型的程序及结果：
min
22
1500y11+1200y12+1000y21+1500y22+1000y51+1500y52+1000y61+1200y62+800y71+1000y73+1000y81+800y82+1300y91+800y92+1200y93 st
y11+y12+y21+y22+y51+y52+y61+y62+y71+y73+y81+y82+y91+y92+y93=6
200y11+150y12+130y21+180y22+150y51+180y52+160y61+180y62+140y71+200y73+160y81+130y82+160y91+120y92+200y93>642 y11<1 y12<2 y21<2 y22<1 y51<2 y52<1 y61<1 y62<1 y71<2 y73<1 y81<1 y82<2 y91<1 y92<2 y93<1 end gin 15 结果：
OBJECTIVE FUNCTION VALUE 1) 4800.000
VARIABLE VALUE REDUCED COST Y11 0.000000 52500.000000 Y12 0.000000 1200.000000 Y21 0.000000 1000.000000
23