广石化12级数学建模期末作业-基金使用计划(3)

1970-01-01 08:00

【2】姜启源,数学模型【M】,北京;高等教育出版社,1989 【3】沧浦,最优控制的理论与方法【M】,北京;国防工业出版社,1989

十、附录

附录一:

model: max=z;

X11+X12+X13+X15=1000;

X21+X22+X23+X25=1.018*X11-z;

X31+X32+X33+X35=1.03888*X12+1.018*X21-z;

X41+X42+X43+X45=1.0648*X13+1.03888*X22+1.018*X31-z; X51+X52+X53+X55=1.0648*X23+1.03888*X32+1.018*X41-z;

X61+X62+X63+X65=1.1152*X15+1.0648*X33+1.03888*X42+1.018*X51-z; X71+X72+X73=1.1152*X25+1.0648*X43+1.03888*X52+1.018*X61-z; X81+X82+X83=1.1152*X35+1.0648*X53+1.03888*X62+1.018*X71-z; X91+X92=1.1152*X45+1.0648*X63+1.03888*X72+1.018*X81-z; X101=1.1152*X55+1.0648*X73+1.03888*X82+1.018*X91-z; 1000=1.1152*X65+1.0648*X83+1.03888*X92+1.018*X101-z; End

附录二:

model: max=z;

X11+Y12+Y13+Y15=1000;

X21+Y22+Y23+Y25=1.018*X11-z;

X31+Y32+Y33+Y35=1.051*Y12+1.018*X21-z;

X41+Y42+Y43+Y45=1.0867*Y13+1.051*Y22+1.018*X31-z; X51+Y52+Y53+Y55=1.0867*Y23+1.051*Y32+1.018*X41-z;

X61+Y62+Y63+Y65=1.157*Y15+1.0867*Y33+1.051*Y42+1.018*X51-z; X71+Y72+Y73=1.157*Y25+1.0867*Y43+1.051*Y52+1.018*X61-z; X81+Y82+Y83=1.157*Y35+1.0867*Y53+1.051*Y62+1.018*X71-z; X91+Y92=1.157*Y45+1.0867*Y63+1.051*Y72+1.018*X81-z; X101=1.157*Y55+1.0867*Y73+1.051*Y82+1.018*X91-z; 1000=1.157*Y65+1.0867*Y83+1.051*Y92+1.018*X101-z; end model: max=z;

X11+X12+X13+X15+Y12+Y13+Y15=1000;

X21+X22+X23+X25+Y22+Y23+Y25=1.018*X11-z;

X31+X32+X33+X35+Y32+Y33+Y35=1.03888*X12+1.018*X21-z;

X41+X42+X43+X45+Y42+Y43+Y45=1.0648*X13+1.03888*X22+1.018*X31+1.06394*Y12-z;

X51+X52+X53+X55+Y52+Y53+Y55=1.0648*X23+1.03888*X32+1.018*X41+1.06394*Y22+1.10008*Y13-z;

X61+X62+X63+X65+Y62+Y63=1.1152*X15+1.0648*X33+1.03888*X42+1.018*X51+1

11

.06394*Y32+1.10008*Y23-z;

X71+X72+X73+Y72+Y73=1.1152*X25+1.0648*X43+1.03888*X52+1.018*X61+1.06394*Y42+1.10008*Y33+1.17125*Y15-z;

X81+X82+X83+Y82=1.1152*X35+1.0648*X53+1.03888*X62+1.018*X71+1.06394*Y52+1.10008*Y43+1.17125*Y25-z;

X91+X92=1.1152*X45+1.0648*X63+1.03888*X72+1.018*X81+1.06394*Y62+1.10008*Y53+1.17125*Y35-z;

X101=1.1152*X55+1.0648*X73+1.03888*X82+1.018*X91+1.06394*Y72+1.10008*Y63+1.17125*Y45-z;

1000=1.1152*X65+1.0648*X83+1.03888*X92+1.018*X101+1.06394*Y82+1.10008*Y73+1.17125*Y55-z; endmodel: max=z;

X11+X12+X13+X15+Y12+Y13+Y15=1000;

X21+X22+X23+X25+Y22+Y23+Y25=1.018*X11-z;

X31+X32+X33+X35+Y32+Y33+Y35=1.03888*X12+1.018*X21-z;

X41+X42+X43+X45+Y42+Y43+Y45=1.0648*X13+1.03888*X22+1.018*X31+1.06856*Y12-z;

X51+X52+X53+X55+Y52+Y53+Y55=1.0648*X23+1.03888*X32+1.018*X41+1.06856*Y22+1.10486*Y13-z;

X61+X62+X63+X65+Y62+Y63=1.1152*X15+1.0648*X33+1.03888*X42+1.018*X51+1.06856*Y32+1.10486*Y23-z;

X71+X72+X73+Y72+Y73=1.1152*X25+1.0648*X43+1.03888*X52+1.018*X61+1.06856*Y42+1.10486*Y33+1.17633*Y15-z;

X81+X82+X83+Y82=1.1152*X35+1.0648*X53+1.03888*X62+1.018*X71+1.06856*Y52+1.10486*Y43+1.17633*Y25-z;

X91+X92=1.1152*X45+1.0648*X63+1.03888*X72+1.018*X81+1.06856*Y62+1.10486*Y53+1.17633*Y35-z;

X101=1.1152*X55+1.0648*X73+1.03888*X82+1.018*X91+1.06856*Y72+1.10486*Y63+1.17633*Y45-z;

1000=1.1152*X65+1.0648*X83+1.03888*X92+1.018*X101+1.06856*Y82+1.10486*Y73+1.17633*Y55-z; End

附录三:

model: max=z;

X11+X12+X13+X15=1000;

X21+X22+X23+X25=1.018*X11-z;

X31+X32+X33+X35=1.03888*X12+1.018*X21-z;

X41+X42+X43+X45=1.0648*X13+1.03888*X22+1.018*X31-z; X51+X52+X53+X55=1.0648*X23+1.03888*X32+1.018*X41-z;

X61+X62+X63+X65=1.1152*X15+1.0648*X33+1.03888*X42+1.018*X51-z; X71+X72+X73=1.1152*X25+1.0648*X43+1.03888*X52+1.018*X61-1.2*z;

12

X81+X82+X83=1.1152*X35+1.0648*X53+1.03888*X62+1.018*X71-z; X91+X92=1.1152*X45+1.0648*X63+1.03888*X72+1.018*X81-z; X101=1.1152*X55+1.0648*X73+1.03888*X82+1.018*X91-z; 1000=1.1152*X65+1.0648*X83+1.03888*X92+1.018*X101-z; End model: max=z;

X11+X12+X13+X15+Y12+Y13+Y15=1000;

X21+X22+X23+X25+Y22+Y23+Y25=1.018*X11-z;

X31+X32+X33+X35+Y32+Y33+Y35=1.03888*X12+1.018*X21-z;

X41+X42+X43+X45+Y42+Y43+Y45=1.0648*X13+1.03888*X22+1.018*X31+1.06394*Y12-z;

X51+X52+X53+X55+Y52+Y53+Y55=1.0648*X23+1.03888*X32+1.018*X41+1.06394*Y22+1.10008*Y13-z;

X61+X62+X63+X65+Y62+Y63=1.1152*X15+1.0648*X33+1.03888*X42+1.018*X51+1.06394*Y32+1.10008*Y23-z;

X71+X72+X73+Y72+Y73=1.1152*X25+1.0648*X43+1.03888*X52+1.018*X61+1.06394*Y42+1.10008*Y33+1.17125*Y15-1.2*z;

X81+X82+X83+Y82=1.1152*X35+1.0648*X53+1.03888*X62+1.018*X71+1.06394*Y52+1.10008*Y43+1.17125*Y25-z;

X91+X92=1.1152*X45+1.0648*X63+1.03888*X72+1.018*X81+1.06394*Y62+1.10008*Y53+1.17125*Y35-z;

X101=1.1152*X55+1.0648*X73+1.03888*X82+1.018*X91+1.06394*Y72+1.10008*Y63+1.17125*Y45-z;

1000=1.1152*X65+1.0648*X83+1.03888*X92+1.018*X101+1.06394*Y82+1.10008*Y73+1.17125*Y55-z; endmodel: max=z;

X11+Y12+Y13+Y15=1000;

X21+Y22+Y23+Y25=1.018*X11-z;

X31+Y32+Y33+Y35=1.051*Y12+1.018*X21-z;

X41+Y42+Y43+Y45=1.0867*Y13+1.051*Y22+1.018*X31-z; X51+Y52+Y53+Y55=1.0867*Y23+1.051*Y32+1.018*X41-z;

X61+Y62+Y63+Y65=1.157*Y15+1.0867*Y33+1.051*Y42+1.018*X51-z; X71+Y72+Y73=1.157*Y25+1.0867*Y43+1.051*Y52+1.018*X61-1.2*z; X81+Y82+Y83=1.157*Y35+1.0867*Y53+1.051*Y62+1.018*X71-z; X91+Y92=1.157*Y45+1.0867*Y63+1.051*Y72+1.018*X81-z; X101=1.157*Y55+1.0867*Y73+1.051*Y82+1.018*X91-z; 1000=1.157*Y65+1.0867*Y83+1.051*Y92+1.018*X101-z; end model: max=z;

X11+X12+X13+X15=1000;

13

X21+X22+X23+X25=1.018*X11-z;

X31+X32+X33+X35=1.03888*X12+1.018*X21-z;

X41+X42+X43+X45=1.0648*X13+1.03888*X22+1.018*X31-z; X51+X52+X53+X55=1.0648*X23+1.03888*X32+1.018*X41-z;

X61+X62+X63+X65=1.1152*X15+1.0648*X33+1.03888*X42+1.018*X51-z; X71+X72+X73=1.1152*X25+1.0648*X43+1.03888*X52+1.018*X61-1.2*z; X81+X82+X83=1.1152*X35+1.0648*X53+1.03888*X62+1.018*X71-z; X91+X92=1.1152*X45+1.0648*X63+1.03888*X72+1.018*X81-z; X101=1.1152*X55+1.0648*X73+1.03888*X82+1.018*X91-z; 1000=1.1152*X65+1.0648*X83+1.03888*X92+1.018*X101-z; end

附录四:

model: max=z; A1*1.018=z; A2*1.03888=z; A3*1.0648=z; A4*1.08397=z; A5*1.1152=z; A6*1.13527=z; A7*1.15856=z; A8*1.18746=z; A9*1.20884=z; A10*1.24367=z+1000;

A1+A2+A3+A4+A5+A6+A7+A8+A9+A10=1000; End

14


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