1、 0.5X11+0.7X12+0.3X15+0.2X16+0.5X1748*24 0.1X11+2X12+0.3X14+0.6X1632*24 0.2X11+6X12+0.8X13+0.6X1748*24 0.05X11+0.03X12+0.07X14+0.1X15+0.08X1716*24 0.01X13+0.05X15+0.05X1716*24二月份0.3X25+0.5X2764*240.8X2348*24 0.1X2516*24 0.01X23+0.05X25+0.05X2716*24三月份0.2X3664*24 0.6X3632*24 0.8X3348*24 0.01X3316*24四
2、月份0.5X41+0.7X42+0.3X45+0.2X46+0.5X4764*24 0.1X41+2X42+0.3X44+0.6X4616*24 0.2X41+6X42+0.8X43+0.6X4748*24 0.05X41+0.03X42+0.07X44+0.1X45+0.08X4716*24 0.01X43+0.05X45+0.05X4716*24五月份 0.5X51+0.7X52+0.3X55+0.2X56+0.5X5748*24 0.1X51+2X52+0.3X54+0.6X5616*24 0.2X51+6X52+0.8X53+0.6X5748*24 0.05X51+0.03X52+0.
3、07X54+0.1X55+0.08X5716*24 0.01X53+0.05X55+0.05X5716*24六月份 0.5X61+0.7X62+0.2X6664*24 0.1X61+2X62+0.3X64+0.6X6632*24 0.2X61+6X6232*24 0.05X61+0.03X62+0.07X6416*242根据销售上限每种产品不能超过最大销售量,及非负约束的限制0Y115000Y1210000Y133000Y143000Y158000Y162000Y171000Y216000Y225000Y23200Y24=00Y254000Y263000Y271500Y313000Y32630
4、0Y33=0Y34=00Y355000Y364000Y371000Y412000Y423000Y434000Y445000Y45200Y46=00Y47100Y51=00Y521000Y535000Y541000Y5510000Y56300Y57=00Y615000Y625000Y631000Y643000Y6511000Y665000Y67603.根据库存限制1至5月份每种产品的最大库存量为100件一至五月份0Sij100 (i=1,2,3,4,5;j=1,2,3,4,5,6,7)六月份每种产品都有50件库存S6j=50 (j=1,2,3,4,5,6,7)4.根据库存量=生产量+上月库存-销
5、售量S1j=X1j-Y1jS2j=X2j+S1j-Y2jS3j=X3j+S2j-Y3jS4j=X4j+S3j-Y4jS5j=X5j+S4j-Y5jS6j=X6j+S5j-Y6j=50 (j=1,2,3,4,5,6,7)5.非负约束 Xij0 (i=1,2,3,4,5,6;综上可得:MaxZ=10*(Y11+Y21+Y31+Y41+Y51+Y61)+6*(Y12+Y22+Y32+Y42+Y52+Y62)+3*(Y13+Y23+Y33+Y43+Y53+Y63)+4*(Y14+Y24+Y34+Y44+Y54+Y64)+1*(Y15+Y25+Y35+Y45+Y55+Y65)+9*(Y16+Y26+Y3
6、63+Y46+Y56+Y66)+3*(Y17+Y27+Y37+Y47+Y57+Y67)-0.5*(S11+S12+S13+S14+S15+S16+S17+S21+S22+S23+S24+S25+S26+S27+S31+S32+S33+S34+S35+S36+S37+S41+S42+S43+S44+S45+S46+S47+S51+S52+S53+S54+S55+S56+S57+S61+S62+S63+S64+S65+S66+S67)0.5X11+0.7X12+0.3X15+0.2X16+0.5X1748*240.01X53+0.05X55+0.05X5716*240.5X61+0.7X62+0.
7、2X6664*240.1X61+2X62+0.3X64+0.6X6632*240.2X61+6X6232*240.05X61+0.03X62+0.07X6416*240S11100 0S121000S131000S141000S151000S161000S171000S211000S221000S231000S241000S251000S261000S271000S311000S321000S331000S341000S351000S361000S371000S411000S421000S431000S441000S451000S461000S471000S511000S521000S5310
8、00S541000S551000S561000S57100S61=50 S62=50 S63=50 S64=50 S65=50 S65=50S67=50 S11=X11-Y11S12=X12-Y12S13=X13-Y13S14=X14-Y14S15=X15-Y15S16=X16-Y16S17=X17-Y17S21=X21+S11 -Y21S22=X22+S12 -Y22S23=X23+S13 -Y23S24=X24+S14 -Y24S25=X25+S15 -Y25S26=X26+S16 -Y26S27=X27+S17 -Y27S31=X31+S21-Y31S32=X32+S22-Y32S33=
9、X33+S23 -Y33S34=X34+S24-Y34S35=X35+S25 -Y35S36=X36+S26 -Y36S37=X37+S27 -Y37S41=X41+S31-Y41S42=X42+S32 -Y42S43=X43+S33 -Y43S44=X44+S34 -Y44S45=X45+S35 -Y45S46=X46-+S36 Y46S47=X47+S37 -Y47S51=X51+S41 -Y51S52=X52+S42-Y52S53=X53+S43-Y53S54=X54+S44-Y54S55=X55+S45 -Y55S56=X56+S46 -Y56S57=X57+S47-Y57S61=X61+S51-Y61=50 S62=X62+S52-Y62=50 S63=X63+S53-Y63=50 S64=X64+S54-Y64=50 S65=X65+S55-Y65=50 S66=X66+S56-Y66=50 S67=X67+S57-Y67=50 Xij0 (i=1,2,3,4,5,6;
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