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1、 I K 8 JJIIJI11?57?w 4?fffEEE?III I K 8 JJIIJI12?57?w 4888 1fffEEE?mmm?12|mmm55552.1|.52.2mL.73?mmmOOO?83.1A?.83.2DS.133.3G?.153.4G.173.5GMatlab.184mmmcccOOO?777?215?YYYSSS?OOO235.1z?.55y.245.1.11.)?K.245.1.22.K.295.1.33.aK.345.2?.445.2.14?fK.44 I K 8 JJIIJI13?57?w 46?mmm?476.1.486.2K.527DDD57 I K 8
2、 JJIIJI11?57?w 41fffEEE?mmm?333?ccc1.?mmm?FFF?FFF2.?dddKKKIIIzzzfffeee?4.?LLL333http:/ K 8 JJIIJI12?57?w 41NNNfffEEE?mmm?LLL666 555OOO ccc?eee 1nnnWWW?3336?FFFcccuuuxxx?2ccc?WWW?XXX!?!nnn!ooo3*|?|4?WWW?XXX&EEE?!?!.I K 8 JJIIJI13?57?w 4mmmmmm6?FFF(800uuuKKK6?FFF(ooo800KKK I K 8 JJIIJI14?57?w 42|mmm55
3、52.1|1?!?!?zzz?KKKIII999?“nnn”?zzz?3OOO?mmmyyy333TTTNNNoooOOO?gggCCCmmmggg!JJJpppYYY?!?!?“444”?SSS?NNN?NNN?ppp?SSSppp?SSSppp?SSSppp?MMM#.I K 8 JJIIJI16?57?w 42.2mmmLLLUUU?LLL1KKK!ccc2zzzKKK!?.3?.)!(JJJ4?555rrrmmm!:11111UUU?ccc?KKK21112UUU?ccc?JJJjjj31113UUU?ccc?vvv.I K 8 JJIIJI17?57?w 43?mmmOOO?3.1A
4、AA?.(1)(|)?.(2)?(|)?.(3)zzz?.555555yyy!555555yyy!?555yyy(4)VVV?.(5)OOO?.(6)?.999(7)OOO?.888(8)(9)?(10)?I K 8 JJIIJI18?57?w 4?LLL I K 8 JJIIJI19?57?w 4SSS?.1.?.2.?.3.zzz?.555555yyy!555555yyy!?555yyy4.888III555yyy5.+nnnKKK999?.?6.VVV?.7.?OOO 888?aaa8.mmmSSS?9.OOO?.10.?.99911.|12.I K 8 JJIIJI110?57?w 4
5、SSS?.13.?ggg14.AAAkkk999AAA15.?aaa?16.?17.DDD18.OOO:?,(|)!555(|)?19.?.20.CCC.I K 8 JJIIJI111?57?w 4AAA?GGG?eeeZZZ(1)AAAkkk(2)/?|(3)?%I K 8 JJIIJI112?57?w 43.2DDDSSS555?cccDDD=?,?oooSSSEEElllnnn?SSS1?2?gggKKK3?.)ggg I K 8 JJIIJI113?57?w 4AAA:1!LLL?DDDnnn)?!?.)gggSSS?yyyJJJ:999gggCCCXXXyyy2!www?gggSSS
6、XXXyyy?OOO!?yyy?3!ggg?KKK?.)gggCCC?I K 8 JJIIJI114?57?w 43.3GGG?1.WPS/Word?666iiiLLL=UUU2.ExcelSheet?XXX?iii?=?666MatlabSSS3.Access?.+nnnXXX.I K 8 JJIIJI115?57?w 4AAAKKK1KKKXXXMatlab?(JJJ?wordSSS?666LLL?zzzUUULLL?.?MatlabEEEbbb?word?word?“?=LLL”UUU=LLL2KKKXXXExcel?=Matlab?EEEbbb3KKKAccess?=MatlabEEE
7、bbbUUUIII“OOO”I K 8 JJIIJI116?57?w 43.4GGG1.MatlabGGG?!SSS?OOO$zzz?2.Lingo)aaazzz?.)555555yyy!?ggg555yyy!555555yyy!?555yyy!?555yyy!555?zzz?.Lindo?UUU3.SPSS?nnn?888!?888aaa?I K 8 JJIIJI117?57?w 43.5GGGMatlab-oooaaa?!?nnn!OOO!(JJJ1.uuu?Matlab?-111help Full Product Family help/Matlab Help2.?3.?4.findso
8、rtsummean?5.iiiGGG?nnnstrcatstrcmpstrvcat,strtok?I K 8 JJIIJI118?57?w 4num2str,str2num,int2str?6.fopen,fclose,fread,fwritefgetl,fgets,fscanf,fprintf,7.fff?functionglobalCCC8.?nnn9.VVVOOOCCC?XXXrand,unifrnd,randn,normrnd,exprnd888regresspolyfit?I K 8 JJIIJI119?57?w 410.zzzKKKXXXfminbnd,fminsearch,lin
9、prog,fminconKKK?)lingo?UUU?Matlab?vvvlingo?lingoSSS?)lingo?11.OOO(Maple?)solve,diff,limit?,?)eeeMathematicaMaple?OOO)?444?nnn?12.)ode23,ode45,ode113,ode15s,ode23s,ode23t,ode23tb I K 8 JJIIJI120?57?w 44mmmcccOOO?777?,/?777|?/?777eee?KKK1?YYY/?DDD2$34|5?OOO6VVVOOO?.7lllXXX/OOO?/?/XXX8zzz/?555yyy/888II
10、I555yyy I K 8 JJIIJI121?57?w 49OOO/OOO10?./11MatlabSSS?OOO I K 8 JJIIJI122?57?w 45?YYYSSS?OOO?YYYDVDuuu?KKK?AAAkkk)zzz?.?Matlab“?OOO?%)0-1?555yyy?.I K 8 JJIIJI123?57?w 45.1zzz?.555555yyy5.1.11.)?KKK,III?111OOO)?#)YYY!SSSzzz?ddd999?555?zzzZZZXXXeeeLLL?EEEvvv qqqooo?:?.KKK?1KKK;.?zzzKKKzzz888III?EEE#?
11、ooo?XXXJJJ1ZZZ#KKKzzzZZZ#5ggg?I K 8 JJIIJI124?57?w 4ddd?/ZZZ 555?%YYY0.03300.22250.381030SSS0.50200.35520?KKK?555?2CCCx1zzzZZZ#YYY?ZZZx2zzzZZZ#?ZZZx3zzzZZZ#?ZZZx4zzzZZZ#SSS?ZZZ I K 8 JJIIJI125?57?w 4x5zzzZZZ#?ZZZFzzzZZZ#?xx=(x1,x2,x3,x4,x5)T3?.bbb?#=dddeee5|YYY!SSSwww,zzzZZZ#?F=0.03x1+0.22x2+0.38x3+
12、0.50 x4+0.35x5?ooo?IIIzzzZZZ?F?=.TTTzzzKKK?555?.I K 8 JJIIJI126?57?w 4ddd?KKKXXXeee?555555yyy?.min F(x)=0.03x1+0.22x2+0.38x3+0.5x4+0.35x5s.t.0 x1 0.30 x2 0.250.1 x3 0.30.2 x4 10.05 x5 0.2x1+x2+x3+x4+x5=14)?.$MatlabJJJ?)555555yyy?.?linprog).?CCC?.?1?.)“XXXeeef=0.03 0.22 0.38 0.5 0.35;I K 8 JJIIJI127?
13、57?w 4lb=0 0 0.1 0.2 0.05;ub=0.3 0.25 0.31 0.2;A=;b=;Aeq=1 1 1 1 1;beq=1;optx,optvalue,flag=linprog(f,A,b,Aeq,beq,lb,ub)$111(JJJOptimization terminated successfully.optx=0.30000.25000.10000.20000.1500optvalue=0.2545 I K 8 JJIIJI128?57?w 4flag=1ddd$111(JJJ)?1kg#?0.2545?,dddYYY!SSS?OOO0.3!0.25!0.1!0.2
14、!0.15kg5.1.22.KKKKKK,kkk10?uuu?999;OOO|2.5%5?12%?XXXeee?888III1zzzccc?uuu9000?I K 8 JJIIJI129?57?w 42?$uuu20000?3?LLL;OOO?2?4;OOO?uuu10000*30000?mmm-?1KKKzzzKKKkkknnn,?dddzzzKKK?LLL2CCC?xyzOOOLLL;OOO!?.-u=(x,y,z)T3zzzKKKbbb?10?uuu.I K 8 JJIIJI130?57?w 4bbb?kkk;OOO!?nnn.4?.=?555555yyy?.XXXeeemax F(u)
15、=0.025x+0.05y+0.12zs.t.x+y+z=10F 0.9z 2z 2(x+y)1 x 30 x,y,z 10 I K 8 JJIIJI131?57?w 45?.)?.UUU?XXXeeemax F(u)=0.025x+0.05y+0.12zs.t.(0.025x+0.05y+0.12z)0.92x 2y+z 0 x+y+z=101 x 30 y 102 z 10?.BBB?NNNlinprog?)“f=-0.025 0.05 0.12;A=-0.025-0.05-0.12;I K 8 JJIIJI132?57?w 4-2-2 1;b=-0.9;0;Aeq=1 1 1;beq=1
16、0;lb=1 0 2;ub=3 10 10;optx,optvalue,flag=linprog(f,A,b,Aeq,beq,lb,ub)$111(JJJOptimization terminated successfully.optx=1.00002.33336.6667optvalue=-0.9417 I K 8 JJIIJI133?57?w 4flag=1dddSSS$111(JJJOOO?0.9417?dddZZZYYY;OOO!?OOO1!2.3333!6.6667?.5.1.33.aaaKKK500fff?OOO?98fff78fff?98fff?100078fff?2000NNN
17、?UUU?.XXXJJJ?qqqTTTNNN?KKK I K 8 JJIIJI134?57?w 41.kkk2.“?”?nnn)3.(KKKJJJ999AAA?888?111vvvIII?.4.zzzKKK888III?UUU?MatlabSSS?.len=500;n1=500/78;n2=500/98;i=1;mat=;fork1=0:n1,I K 8 JJIIJI135?57?w 4k2=fix(len-k1*78)/98);remain=len-k1*78-k2*98;ifremain=78,continueendmat=mat;k1,k2,remain;endmat$111(JJJma
18、t=0 5 101 4 302 3 50 I K 8 JJIIJI136?57?w 43 2 705 1 126 0 32555*?kkk2?.?78cm98cm?10510 x121430 x232350 x343270 x455112x566032x6III 2000 1000 I K 8 JJIIJI137?57?w 4?.1?888III?zzz?.min f(x,y)=x1+x2+x3+x4+x5+x6s.t.x2+2x3+3x4+5x5+6x6=2000,5x1+4x2+3x3+2x4+x5=1000,xi 0(i=1,2,7)?.Lingo)SSSMODEL:x2+2*x3+3*
19、x4+5*x5+6*x6=2000;5*x1+4*x2+3*x3+2*x4+x5=1000;f1=x1+x2+x3+x4+x5+x6+x7;!?ooo;f2=10*x1+30*x2+50*x3+70*x4+12*x5+32*x6;!?ooo;min=f1;!ooo?;!min=f2;!ooo?;I K 8 JJIIJI138?57?w 4x1=0;x2=0;x3=0;x4=0;x5=0;x6=0;GIN(x1);GIN(x2);GIN(x3);GIN(x4);GIN(x5);GIN(x6);END$111(JJJGlobal optimal solution found at iteratio
20、n:4Objective value:520.0000Variable Value Reduced CostX2 0.000000 1.000000X3 0.000000 1.000000X4 0.000000 1.000000X5 400.0000 1.000000 I K 8 JJIIJI139?57?w 4X6 0.000000 1.000000X1 120.0000 1.000000F1 520.0000 0.000000X7 0.000000 1.000000F2 6000.000 0.000000 I K 8 JJIIJI140?57?w 4?.2?888III?zzz?.min
21、f(x,y)=10 x1+30 x2+50 x3+70 x4+12x5+32x6s.t.x2+2x3+3x4+5x5+6x6=2000,5x1+4x2+3x3+2x4+x5=1000,xi 0(i=1,2,7).Lingo)SSSMODEL:x2+2*x3+3*x4+5*x5+6*x6=2000;5*x1+4*x2+3*x3+2*x4+x5=1000;f1=x1+x2+x3+x4+x5+x6+x7;!?ooo;f2=10*x1+30*x2+50*x3+70*x4+12*x5+32*x6;!?ooo;!min=f1;!ooo?;min=f2;!ooo?;I K 8 JJIIJI141?57?w
22、4x1=0;x2=0;x3=0;x4=0;x5=0;x6=0;GIN(x1);GIN(x2);GIN(x3);GIN(x4);GIN(x5);GIN(x6);END$111(JJJGlobal optimal solution found at iteration:0Objective value:6000.000Variable Value Reduced CostX2 0.000000 30.00000X3 0.000000 50.00000X4 0.000000 70.00000X5 400.0000 12.00000 I K 8 JJIIJI142?57?w 4X6 0.000000
23、32.00000X1 120.0000 10.00000F1 520.0000 0.000000X7 0.000000 0.000000F2 6000.000 0.000000?.(JJJ?YYY.I K 8 JJIIJI143?57?w 45.2?.5.2.14?fffKKK?iii?fff?555LLL80%(mg/ml).yyykkk?,333?uuu)3?,?iii56%(mg/ml),qqqLLL?,?40%(mg/ml),?:?uuu),iii?555?.?x(t)t?,KKK?nnnmmmmmmt,t+tSSS,?UUUCCCx x(t)t,=x(t+t)x(t)=kx(t)t
24、I K 8 JJIIJI144?57?w 4k0,cccKKKLLLmmm?444?,t,-t 0,KKK?dxdt=kx,vvvx(3)=56,x(5)=40999x(0)=x0.?.)NNN?)x(t)=cekt,“x(0)=x0,?x(t)=x0ektKKKx0=x(0).qqqdddx(3)=56,x(5)=40,“x(0)=x0?(x0e3k=56x0e5k=40 I K 8 JJIIJI145?57?w 4 e2k=5640 k=0.17k=0.17“?x0e30.17=56 x0=56e30.1793.2580?uuu),iii?555.I K 8 JJIIJI146?57?w
25、46?mmm?EEE?EEE112KKK-23KKK3nnn4?.bbb?4(MMM#SSSNNN)5?.?)5?6?.(JJJuuu?6(7?.ddd8?.UUU?9NNN10zzz I K 8 JJIIJI147?57?w 46.1NNNyyynnnKKK(JJJuuu?kkk?KKK?.?,?KKK?333?KKK?uuu?kkk?KKK?.JJJ?UUUkkk?KKK?YYYLLL?$111nnn?mmm!?mmm!333mmm!XXX-555dddIII?IIISSS$111?111uuuyyy?KKK?YYY?vvv333uuu I K 8 JJIIJI148?57?w 4?mmm
26、LLL?OOOxxxmmmSSSXXX$111?KKK?888IIIzzz?.?IIIAAA?kkk?ggg?XXXccc?$111UUU?YYY?YYYFCFS?mmmddd12.9UUU3.3UUU333mmmddd22.0UUU12.3UUU?444mmm?III?.?SSSlllXXX?cccGGG?444?uuu|?.)?111?NNNTTT444333?SSSwwwFFFSSSeee?.nnn)?IIIAAA?kkk I K 8 JJIIJI149?57?w 4?TTTYYYeee?XXXccc?$111?mmm14.2UUU333mmm23.2UUULLLaaacccOOO?mm
27、m?xxxSSSmmmSSS333nnnUUU?UUUIII?222gggUUU?mmm5.5UUU333mmm14.5UUUdddTTT?AAATTTSSSmmm?111NNN?uuuBBBuuu+nnn?888?KKK?.TTT?.aaayyy?KKK aaaFCFS555KKK333mmm?888III333aaaFFFNNNCCC|?KKK?10KKKxxxSSS15KKKVVVxxxSSS20KKK“11111KKK?;23KKKTTTYYYFCFS333mmm I K 8 JJIIJI150?57?w 4ddd20.5UUU18.4UUUiiiKKK?kkk?XXX?5551.11
28、1SSSNNNoooNNN?QQQ.2.?YYY?NNN“”.I K 8 JJIIJI151?57?w 46.2KKK555LLLeee?)KKKSSSNNN?ggg(?(?uuu?kkk?KKK?.KKKKKK?SSSKKK;.?KKK%333uuu?KKK?SSS?.XXX?OOOKKKSSSXXX?$111555KKKnnn?dddIIINNNXXX?.?111uuu?dddKKKSSS?.?lll?555?(dddIIINNNXXXlll?|uuu I K 8 JJIIJI152?57?w 4%?mmm?mmm?lll?|uuu%?zzzUUU)?,333XXXSSS?333mmmXX
29、X?-555YYY555KKK?nnn?|dddIIINNNXXX333XXX?333mmmddd?mmm!?mmm!?*?mmm?OOONNN?uuuyyyaaa?mmm12-13UUU?mmm?333444?1UUU?=?111“111?;?3332!3UUU?UUU?xxxSSS?mmm1-5UUU?xxxSSSVVV?mmm1-7UUU?dddKKK?xxxSSS?cccOOO?mmmIII1!2UUU I K 8 JJIIJI153?57?w 4OOOuuuyyyNNN1xxxSSSccc?mmmdddTTT333(AAA?(XXXLLL1LLL1SSSxxxSSSccc?mmm?n
30、nn ooo 888 FFFccc?mmm2154321?555333nnn?111xxxSSS?ddduuu?SSS555KKKFCFSooo?SSS333nnn?eeeUUU?111?KKK?LLL?-?KKKxxxSSSVVV?333KKK“111?;?333SSS?mmmkkk5UUU?dddaaaeee888?UUUfff-?I K 8 JJIIJI154?57?w 4nnnUUU?mmmCCC3UUU?444?mmmddd333?OOOKKKSSS?XXX?555KKKAAAUUUxxxSSS?mmm?FFFxxxSSSVVV?mmm888“111?;?;SSS333888333U
31、UU?555KKK?eeedddIII888III?zzz?.?IIIUUU?ccc?III333?mmmmmmkkk?cccGGG?444?XXX$111TTT444?UUUggg?UUU?111OOO?=mmmmmm I K 8 JJIIJI155?57?w 4eee444?888!FFFSSSoooIIIKKKSSS?XXX?$111555KKKNNN?eee,?mmm?333888FFFKKKAAA?SSSmmmBBB+nnnSSSKKKaaaKKK?kkk333XXXSSS?333mmmIII333mmm888IIIaaaKKK?zzz?.I K 8 JJIIJI156?57?w 47DDD?IIImmmDDD?