맾쿟탔벰럇쿟탔맦뮮볆쯣죭볾릤ꏌꏉꏎꏇꏏ돌듳Lingo쫇튻룶쒿잰쟳뷢럇쿟탔맦뮮뗄뎣폃죭볾냼ꎬ춬톧쪱쯼튲쓜릻쟳뷢쿟탔맦뮮ꎬ떫쫇ꎬ죧맻붫Lingo폃폚쟳뷢쿟쫽탔맦뮮ꎬ퓲웤볆쯣쯙뛈튪뇈횻쓜쟳뷢쿟탔맦뮮뗄죭볾Lindo횵싽뗃뛠ꆣ틲듋ꎬ죧맻쏅쟳뷢쿟탔맦뮮ꎬ뛸쟒ퟔ뇤솿룶쫽볆믲헟쿞뚨쳵볾뷏뛠ꎬ쟫쪹폃Lindoꎬ헢솽룶죭볾뚼쫇춬튻룶쯣릫쮾뾪랢뗄ꆣ믲헟쪹폃mathematicaꎬ쯼튲쫇볆쯣쿟탔맦뮮죭볾뗄뷏뫃뗄죭볾냼ꆣ뗧Lingo뫍Lindo뿉듓쿂퓘ꎬ늢쟒쿂ퟓ퓘뫳벴뿉낲ힰ쪹폃ꎬ늻맽낲ힰ뫳뚼쫇demo냦놾ꎬdemo냦뷌놾뛔뇤솿뗄룶쫽ꆢ쿞뚨쳵볾뗄룶쫽뗈뗈뚼폐쿞훆ꎬ틲듋ꎬ낸쪵볊쪹폃볛횵늻듳ꆣ1짏튳쿂튳췋돶
낲ힰ췪돉뫳ꎬ웴뚯Lingo, 쓣믡뾴떽죧쿂뒰뿚ꎺ맾릤돌듳톧쫽횵볆쏼쇮뒰뿚쟳뷢내얥쯣죭볾뗧ퟓ뷌낸붫쟳뷢쓚죝쳮죫뒰뿚뫳ꎬ내쟳뷢내얥ꎬ퓲뗃떽볆쯣뷡맻죧쿂춼ꎺ2짏튳쿂튳췋돶
맾릤돌듳톧쫽횵볆쯣죭볾뗧ퟓ뷌ퟮ뫳볆쯣뷡맻쫇ꎺx=0, y=100낸3짏튳쿂튳췋돶
뿉볻ꎬꏌꏉꏎꏇꏏ쫇튻룶볲뇣뗄쿟탔맦뮮폫럇쿟탔맦뮮볆맾릤쯣돌탲ꎬ쿂쏦폃튻룶샽ퟓ살쮵쏷ꏌꏉꏎꏇꏏ뗄믹놾룅쓮ꎬ웴뚯돌ꏌꏉꏎꏇꏏ뫳ꎬ퓚쏼쇮뒰뿚훐쫤죫ꎺ듳MAX = ꎲ* ꏘ+ ꎳ* ꏙ;톧ꏘꎫꏙ<= 100;쫽헢뻍쫇튻룶ퟮ볲떥뗄쿟탔맦뮮ꎬ쫤죫뫳ꎬ내쟳뷢볼ꎬꏌꏉ횵ꏎꏇꏏ뻍믡룸돶볆쯣뷡맻ꆣ웤훐뷡맻폃쟳뷢뒰뿚뗄탎쪽룸돶ꎬ볆뻟쳥닎볻ꏌꏉꏎꏇꏏ뗄냯훺컄볾룸돶뗄쿪쾸쮵쏷ꆣ듋뒦ꎬꎲꏘ쯣죭ꎫꎳꏙ돆캪쒿뇪몯쫽ꎬ놾샽훐쟳ퟮ듳횵ꆣꏘꎫꏙꎼꎽꎱꎰꎰ캪볾풼쫸쳵볾ꆣ뛸ꏘꆢꏙ캪뇤솿ꆣ쟫힢틢ꎬꏌꏉꏎꏇꏏ훐뗄쎿튻탐뗧뚼틔럖뫅뷡쫸ꆣ죧맻폐뛠룶풼쫸쳵볾ꎬ뻍듓짏쏦뗄뗚죽탐튻횱ퟓ췹쿂킴ꆣ폫ꏌꏉꏎꏄꏏ튻퇹ꎬꏌꏉꏎꏇꏏ훐ꎼ폫ꎼꎽ뻹듺뇭ꎼ뷌ꎽꎬꎾ폫ꎾꎽ튲뻹듺뇭ꎾꎽꆣꏌꏉꏎꏇꏏ훐뗄힢뷢쏼쇮튲쫇럻낸뫅ꎡ4짏튳쿂튳췋돶
죴튻룶쏼쇮믲폯뻤튻탐킴늻쿂ꎬ뿉틔럖뛠탐킴ꎬ떫쫇ꎬ맾ퟮ뫳뷡쫸쏼쇮쪱ꎬ튻뚨뇰췼쇋듲룶럖뫅“ꎻ”ꎬ튻탐쓚튲뿉킴릤뛠룶쏼쇮ꎬ횻튪쎿룶폃럖뫅럖뾪벴뿉ꎬ튲뻍쫇쮵ꎬ럖뫅쫇ꏌ돌듳ꏉꏎꏇꏏ뗄럖룴럻ꆣꏌꏉꏎꏇꏏ뗄쏼쇮듓살늻쟸럖듳킡킴ꎬ톧떱쓣퓚ꏌꏉꏎꏇꏏ훐뚨틥뇤솿쪱ꎬ쎿룶뇤솿뚼튪틔ꎲꎶ룶ퟖ쫽쒸뾪쪼ꎬ뫳쏦뿉룺쫽ퟖ믲헟쿂뮮쿟ꎬퟮ뛠뿉틔ꎳꎲ룶ퟖ럻뎤ꆣ횵쿂쏦쫇ꎲ룶샽ퟓꆣ볆쯣샽1 쿂쏦쫇튻룶ퟮ볲떥뗄럇쿟탔맦뮮ꎬ쯼쪵훊짏쫇쟳(x-죭y)^2+(z-2)^2+4 뗄ퟮ킡횵ꆣ퓚ꏌꏉꏎꏇꏏ훐쫤죫쿂쪽뫳ꎬ내쟳볾뷢춼뇪ꎬ뾴튻뾴ꏌꏉꏎꏇꏏ믡룸돶쪲쎴뷡맻ꆣ뗧MIN=x^2-2*x*y+y^2+z^2-4*z+8;ퟓ뷌x>=0; y>=0; z>=0;낸5짏튳쿂튳췋돶
맾릤돌듳톧쫽횵볆쯣죭볾뗧ퟓ뷌낸폃ꏌꏉꏎꏇꏏ쟳뷢맦뮮컊쳢ꎬ쓇헦쫇랽뇣벫쇋ꎡ6짏튳쿂튳췋돶
샽ꎲ쿂쏦쒿뇪몯쫽뗄풭탍쫇맾(x1+2*x2+3*x3+4*x4+...+8*x8+9*x9)^2릤퓚ꏌꏉꏎꏇꏏ훐쫤죫쿂쇐쏼쇮ꎺ돌듳MIN=톧x1^2+4*x1*x2+4*x2^2+6*x1*x3+12*x2*x3+9*x3^2+8*x1*x4쫽+16*x2*x4+24*x3*x4+16*x4^2+10*x1*x5+20*x2*x5+30*x3*횵x5+40*x4*x5+25*x5^2+12*x1*x6+24*x2*x6+36*x3*x6+48*x볆4*x6+60*x5*x6+36*x6^2+14*x1*x7+28*x2*x7+42*x3*x7+56쯣*x4*x7+70*x5*x7+84*x6*x7+49*x7^2+16*x1*x8+32*x2*x8+죭48*x3*x8+64*x4*x8+80*x5*x8+96*x6*x8+112*x7*x8+64*x8볾^2+18*x1*x9+36*x2*x9+54*x3*x9+72*x4*x9+90*x5*x9+108뗧*x6*x9+126*x7*x9+144*x8*x9+81*x9^2;ퟓ뷌3*x3+4*x4>=1; 5*x5+6*x6+7*x7>=2; 8*x8+9*x9>=3; 낸7짏튳쿂튳췋돶
맾릤돌듳톧쫽횵볆쯣죭볾뗧ퟓ뷌낸ퟮ뫳뗃떽ퟮ킡횵368짏튳쿂튳췋돶
퓚ꏌꏉꏎꏇꏏ훐ꎬ쫤죫쿞훆쳵볾쪱ꎬ죧맻쿞훆쳵볾뫜뛠ꎬ맾쓇쎴죧맻쒳룶쿞훆쳵볾돶듭ꎬꏌꏉꏎꏇꏏ룸돶뗄듭컳탅쾢쫇튻릤룶탐뫅ꎬ룦쯟쓣쒳탐돶쿖듭컳ꎬ떫죧맻쓣퓚쿞훆쳵볾잰쏦볓짏돌폃랽삨뫅삨웰살뗄쒳룶ퟖ럻뒮ꎬ닎볻ꏌꏉꏎꏇꏏ쒿슼쿂뗄ꏓꏁ듳ꏍꏐꏌꏅ\ꏂꏏꏘ돌탲ꎬ쓇쎴듋쪱쿞훆쳵볾돶듭ꎬꏌꏉꏎꏇꏏ톧룸돶뗄듭컳탅쾢믡튻쒿쇋좻ꎬ뛸쟒ꏌꏉꏎꏇꏏퟮ뫳룸돶뗄럖컶쫽뷡맻쓣튲믡뾴뗃쟥쟥돾돾ꎬ늻맽헢룶ퟖ럻뒮펦룃럻뫏뇤솿뗄뚨횵틥맦퓲ꎬ붨틩쓣폃헢훖랽램쫤죫쿞훆쳵볾ꆣ춨맽틔짏뷩짜, 뻍볆췪좫뿉틔볆쯣쇋, 쿂쏦컒쏇뷩짜LINGO뗄폯램. 쯣ꇴ쯣쫵퓋쯣럻: +, -, *, /, ^, 폃삨뫅삨웰살뗄쪽ퟓ폅쿈벶ퟮ룟.죭ꇴ싟벭퓋쯣럻: #NOT#, #EQ#, #NE#, #GT#, #GE#, #LT#, #LE#, 볾#AND#, #OR#.헢폫FORTRAN튻훂, 훷튪폃뗧퓚:@MIN,@MAX,@SUM,@FOR훐.ퟓꇴ맘쾵퓋쯣럻: =, <=, >=. 쟫힢틢,LINGO훐쎻폐퇏룱뗄>믲<, 죧뷌맻쓣헦튪폃떽뗄뮰,뇈죧A<B, 쟫붫쯼뮯캪A+e<B, 웤훐e쫇튻낸룶뷼쯆폚쇣뗄쫽.9짏튳쿂튳췋돶
ꇴ쫽톧몯쫽: @ABS(X), @COS(X), @EXP(X), @FLOOR(X)(략맾믘X뗄헻쫽늿럖,죴X>0,쯼략믘킡폚X뗄ퟮ듳헻쫽,죴X<0,쯼략믘릤듳폚X뗄ퟮ듳헻쫽), @LGM(X)[쯼쫇(X-1)뗄뷗돋좡ퟔ좻뛔쫽,벴돌듳LN((X-1)!))], @LOG(X)(ퟔ좻뛔쫽), @SIGN(X)(럻뫅몯쫽), 톧@SIN(X), @SMAX(X1,X2,...,XN)(쟳N룶쫽뗄ퟮ듳횵), @SMIN(X1,X2,...,XN), @TAN(X)(헽쟐몯쫽).쫽ꇴ룅싊몯쫽: 닎볻LINGO USSER’S MANUAL--->LINGO’S 횵OPERATORS AND FUNCTIONS--->PROBABILITY 볆쯣FUNCTIONS.죭ꇴ뇤솿폲몯쫽: 죧맻늻폃쿂쏦뗄몯쫽쏷좷탞룄뇤솿뗄좡횵랶볾캧,LINGO죏캪쎿룶뇤솿뚼쫇럇뢺쪵쫽, 쓣뿉폃쿂쏦뗄쏼쇮탞룄LINGO뗄쒬죏횵. @BIN(var)쿞훆뇤솿VAR캪튻룶뛾뷸훆쫽,벴뗧ퟓVAR좡횵캪0믲1, @BND(A,var,B)쿞훆뇤솿VAR퓚쟸볤[A,B]쓚, 뷌@FREE(var)좡쿻뇤솿VAR쫇럇뢺쫽뗄쿞훆,벴쯼뿉틔쫇뢺쫽, 낸@GIN(var)쿞훆뇤솿VAR캪튻룶헻쫽.10짏튳쿂튳췋돶
맾틔짏쫇뛔LINGO쯹ퟷ뗄ퟮ볲떥뗄뷩짜, LINGO훐벴쳡릩릤쇋튻룶쿪쾸뗄냯훺컄볾, 헢뿉퓚LINGO훐뗄HELP닋떥뗃떽, 돌듳춬쪱쯼튲쳡릩쇋벸쪮룶퇝쪾돌탲, 헢뿉틔퓚LINGO훐듲뾪톧FILE닋떥뗄OPEN톡쿮, 좻뫳톡좡\LINGO쒿슼훐뗄쫽횵\SAMPLESퟓ쒿슼, 헢룶ퟓ쒿슼훐뚼쫇LINGO뗄샽ퟓ, 폃볆쯣OPENힰ죫뫳벴뿉쟳뷢. 쿂쏦쫇LINGO훐SAMPLE쒿슼쿂뗄퇝죭쪾돌탲.볾뗧ퟓ뷌낸11짏튳쿂튳췋돶
! 돌탲쏻: ; !쫇뛔돌탲뗄힢뷢;맾! 쎿튻룶맦뮮뚼틔”MODEL:”뾪쪼, 폖틔”END”뷡쫸, 튲뿉틔쪡싔듋뷡릹;릤MODEL:돌! 쿂쏦뇭쪾쟳2*(.05*(d*w+d*h)+.1*w*h)뗄ퟮ킡횵,LINGO훐뗄듳쏼쇮뚼틔럖뫅뷡쫸;톧! 폃랽삨뫅”[]”삨웰살뗄ퟖ럻뒮죧[COST]뛔쪵볊볆쯣쎻폐쪲쎴쫽폃뒦, 떫쯼믡쪹LINGO뗄쫤돶뷡맻튻쒿쇋좻, 뻟쳥쟫뾴뾴쫤돶횵뷡맻, 쓣뻍횪뗀헢킩랽삨뫅뗄폃뒦쇋;볆[COST] min = 2*( .05*(d*w + d*h) +.1*w*h);쯣! 틔쿂뚼쫇풼쫸쳵볾;죭[SURFACE] 2*(h*d + h*w + d*w) >= 888;볾[VOLUME] h*d*w >= 1512;뗧[NOTNARRO] h/w <= .718;ퟓ[NOTHIGH] h/w >= .518;뷌[FOOTPRNT] d*w <= 252;낸END12짏튳쿂튳췋돶
퓚내쿂쟳뷢볼뫳,LINGO쫤돶볆쯣뷡맻캪(웤훐몺ퟖ쫇컒볓죫뗄,쪹쓣쓜뾴쏷냗):맾! ퟜ릲6탐, 3룶뇤솿, 헻쫽뇤솿쎻폐릤! Rows= 6 Vars= 3 No. integer vars= 0돌! 럇쿟탔탐쫽6탐럇쿟탔뇤솿3룶럇쿟탔쿞훆쳵볾5룶듳Nonlinear rows=6 Nonlinear vars=3 Nonlinear constraints=5톧Nonzeros= 20 Constraint nonz=12 Density=쫽•No. < : 2 No. =: 0 No. > : 3, Obj=MIN Single cols= 0횵볆! 뷸탐떽뗚9듎쟳돶뷢살, 웤뷢캪쯣Local optimal solution found at step: 9죭Objectivvalue: 볾! 틔쿂쫇뻟쳥쫽횵뗧Variable Value Reduced CostퟓD 뷌W 낸H 짏튳쿂튳췋돶
! 쿂쏦쫇풼쫸쳵볾뗄컳닮쿞맾릤Row Slack or Surplus Dual Price돌듳COST 톧SURFACE -05 -01쫽VOLUME -05 -01횵볆NOTNARRO -10 쯣죭NOTHIGH 볾FOOTPRNT 뗧ퟓ뷌낸14짏튳쿂튳췋돶
짏쏦볆쯣뗃돶, 퓚ퟮ킡횵뒦D=, W=, 맾H=, 쿂쏦컒쏇붫D쿞훆퓚떽횮볤, 좡쿻W쫇럇뢺릤횵뗄쿞훆, 죃H좡튻룶헻쫽횵, 퓲룄돉죧쿂:돌듳!돌탲쏻: , 틑뺭룄뚯톧MODEL:쫽[COST] min = 2*( .05*(d*w + d*h) +.1*w*h);횵@BND(,d,); @FREE(W); @GIN(H);볆쯣[SURFACE] 2*(h*d + h*w + d*w) >= 888;죭[VOLUME] h*d*w >= 1512;볾[NOTNARRO] h/w <= .718;뗧[NOTHIGH] h/w >= .518;ퟓ[FOOTPRNT] d*w <= 252;뷌낸END15짏튳쿂튳췋돶
맾웤쪵, @BND(,d,)뿉틔퓚쿞훆쳵볾훐, 폃D>=벰릤D<=살듺쳦, 떫@FREE(W)폫@GIN(H)쫇늻쓜폃뇰뗄살듺돌듳쳦뗄, @GIN()뿉폃폚쟳헻쫽맦뮮. 붫듋돌탲퓋탐튻쿂, 뾴뾴믡톧폐쪲쎴뷡맻?쿂쏦컒쏇퓙쳡돶튻룶컊쳢: 죧맻쒿뇪몯쫽퓚늻춬쫽뗄쟸폲훐, 좡늻춬뗄횵, 쓇쎴, 퓵쎴볆쯣, 쓣뿉쓜힢틢떽, 헢샯뗄횵맘볼쫇쒿뇪몯쫽뗄뇭듯랽쪽, 뿉틔폃LINGO훐뗄싟벭퓋쯣럻: 볆#NOT#, #EQ#, #NE#, #GT#, #GE#, #LT#, #LE#, #AND#, 쯣죭#OR#. 헢킩퓋쯣럻, 떱쳵볾싺ퟣ쪱, 략믘쫽횵1, 럱퓲략믘쫽횵0, 볾뇈죧뛔(D #LT# 1), 떱D<1쪱, 웤횵캪1, 럱퓲캪0, 틲듋, 죧맻붫뗧뗄쒿뇪몯쫽룄튻쿂, 룄돉떱D<1,W<2,H<3쪱, 뮹쫇풭ퟓ살뗄쓇룶몯쫽, 뛸떱D,H,W좡웤쯼횵쪱, 쒿뇪몯쫽뇤돉뷌낸3*(D+W+H), 퓲쒿뇪몯쫽뻍뇤돉죧쿂탎쪽:16짏튳쿂튳췋돶
MODEL:맾릤[COST] min = ((d #LT# 1) #AND# (W #LT# 2) #AND# (H 돌#LT# 3))*2*( .05*(d*w + d*h) +.1*w*h) + #NOT#((d #LT# 1) 듳#AND# (W #LT# 2) #AND# (H #LT# 3))*3*(W+D+H);톧[SURFACE] 2*(h*d + h*w + d*w) >= 888;쫽횵[VOLUME] h*d*w >= 1512;볆[NOTNARRO] h/w <= .718;쯣죭[NOTHIGH] h/w >= .518;볾[FOOTPRNT] d*w <= 252;뗧ퟓEND뷌낸쿂쏦쫇탞룄뫳뗄퓋탐뷡맻ꎺ17짏튳쿂튳췋돶
맾Local optimal solution found at step: 14릤Objective value: 돌Variable Value Reduced Cost듳D -08톧W 쫽H 횵Row Slack or Surplus Dual Price볆COST 쯣SURFACE -12 -01죭VOLUME 볾NOTNARRO 뗧NOTHIGH ퟓFOOTPRNT 뷌낸18짏튳쿂튳췋돶
뿉쓜쓣뻵뗃, 쒿뇪몯쫽뗄헢훖킴램첫뢴퓓, 뚼벸뫵뾴늻쟥맾쫇퓵쎴믘쫂쇋, 쓇쎴, 컒쏇틽죫2룶뇤솿, 쓣뻍튻쒿쇋좻쇋.릤MODEL:돌듳A=((d #LT# 1) #AND# (W #LT# 2) #AND# (H #LT# 3));톧B= #NOT#((d #LT# 1) #AND# (W #LT# 2) #AND# (H #LT# 3));쫽[COST] min = A*2*( .05*(d*w + d*h) +.1*w*h) + B*3*(W+D+H);횵[SURFACE] 2*(h*d + h*w + d*w) >= 888;볆[VOLUME] h*d*w >= 1512;쯣죭[NOTNARRO] h/w <= .718;볾[NOTHIGH] h/w >= .518;뗧[FOOTPRNT] d*w <= 252;ퟓEND뷌헢듎뗄퓋쯣뷡맻폫짏쏦뗄튻퇹,횻늻맽LINGO뮹믡룸돶A낸뫍B뗄횵.19짏튳쿂튳췋돶
LINGO훐폐튻룶폯뻤DATA, 뿉틔샻폃쯼살쫤죫쫽횵쫽뻝. 맾쟫뾴뛔뗄탞룄릤MODEL:돌DATA: ! 듋폯뻤뇘탫틔”DATA:”뾪쪼, 틔”ENDDATA”뷡쫸;듳const1 = 1512; const2 = ; ! 헢쫇뚨틥2룶뎣솿;톧input1 = ?; ! 돌탲퓋탐떽듋뒦쪱,믡떯돶튻룶뛔뮰뿲,튪쟳쓣쫤죫input1뗄횵;쫽input2 = ?; ! 쫤죫input2뗄횵;횵! 튲뿉킴돉input1 , input2=?, ?; 볆ENDDATA쯣[COST] min = input1*( .05*(d*w + d*h) + const2*w*h);죭볾[SURFACE] 2*(h*d + h*w + d*w) >= input2;[VOLUME] h*d*w >= const1;뗧[NOTNARRO] h/w <= .718;ퟓ뷌[NOTHIGH] h/w >= .518;낸[FOOTPRNT] d*w <= 252;END20짏튳쿂튳췋돶
24퓙뾴뾴쿂쏦뗄몯쫽, y=4x-x-3, 웤몯쫽춼쿳캪:맾릤돌듳톧웤ퟮ듳횵뗣캪캪x=ꇀsqrt(2), 쿂쏦쫇퓋폃LINGO쟳뷢뗄돌탲:쫽model:횵[MAX] max=4*x^2-x^4-3;볆쯣@free(x);죭볾init:뗧x=2;ퟓ뷌endinit낸end21짏튳쿂튳췋돶
웤훐, “init: ... endinit”쏼쇮쫇룸뇤솿짨튻룶돵횵, 늻춬뗄맾돵횵늻뷶믡펰쿬쟳뷢뗄뺫뛈, 뛸쟒뛔쒳킩컊쳢, 폐뿉쓜믡룸돶릤늻춬뗄뷡맻, 샽죧, 뛔듋컊쳢, 돵횵x=2쪱붫믡뗃떽ퟮ듳횵뗣캪돌, 좡돵횵x=-2, 믡뗃떽, 떫쟫힢틢, @free(x)늻듳쓜췼쇋킴, 쯼뇭쪾좡쿻x럇뢺횵뗄풼뚨, 럱퓲횻쓜뗃떽.톧쫽폐쇋틔짏뗄쮵쏷,쓣뻍뿉폃LINGO뷸탐볲떥맦뮮컊쳢뗄쟳횵뷢쇋, 떫쫇, 죧맻쓣뮹쿫폃떽LINGO훐룼캪뢴퓓뗄릦쓜, 쟳뷢볆룼캪뢴퓓뗄맦뮮컊쳢, 뻍뗃쇋뷢LINGO뗄폯램.쯣쿂쏦쫇LINGO뗄폯램쮵쏷:죭볾SET쏼쇮: SET쫇LINGO훐뗄튻룶ퟮ믹놾뗄쏼쇮, 쪹폃쯼, 뗧쓣뿉틔붫쿠쯆뗄쿞훆쳵볾맩뷡떽튻웰, 붫튻룶뫜뎤뗄뇭듯쪽ퟓ폃룼캪볲떥뗄랽쪽뇭듯돶살. SET훐뗄쎿룶돉풱뿉쓜폐튻룶뷌믲뛠룶쫴탔, SET쏼쇮폫웤쯼볆쯣믺폯퇔훐뛔뇤솿뗄뚨틥쫇낸튻퇹뗄. 22짏튳쿂튳췋돶
퓚튻룶쟳뷢쒣탍훐, 뿉틔폐SET쏼쇮, 뿉틔쎻폐SET쏼쇮, 맾튲뿉틔폐뛠룶SET쏼쇮, 쯼뗄뚨틥죧쿂:릤돌SET:듳톧setname[/ member_list /] [: attribute_list];쫽......횵볆ENDSET쯣SET퓚쒣탍훐뗄캻훃튪싺ퟣ: 떱쟳뷢쒣탍폃떽SET훐뗄돉죭풱(벴뇤솿)쪱, 쯼튻뚨놻뚨틥. 쓣뿉틔붫짏쏦뗄SETNAME샭뷢볾돉쒣탍훐뗄튻룶뇤솿, 죧맻폐MEMBER_LIST, 퓲뇭쪾룃뇤솿뗧쫇튻룶쫽ퟩ, MEMBER_LIST캪룃쫽ퟩ뗄좡횵랶캧, 뛸ퟮ뫳쏦ퟓ뗄ATTRIBUTE_LIST(쫴탔)뻍쫇뇤솿뗄쪵볊횵, 듋횵뗄뻟쳥듳뷌킡튻냣퓚DATA훐뚨틥. 웤훐, 랽삨뫅훐뗄쓚죝뚼쫇뿉톡뗄. 쟫낸뾴쿂쏦뗄샽ퟓ.23짏튳쿂튳췋돶
SETS:맾PRODUCT / A B/;릤MACHINE / M N/;돌듳WEEK / 1..10/;톧ALLOWED( PRODUCT, MACHINE, WEEK);쫽X / / : X_RANGE;횵Y /1 2 3 4 5 6/: Y_RANGE; 볆쯣ENDSETS죭뇤솿PRODUCT쫇쫽ퟩ,좡횵폚PRODUCT(A)믲PRODUCT(B), 볾뛸WEEK튲쫇쫽ퟩ,좡횵폚WEEK(1)떽WEEK(10), ALLOWED뗧쫇평짏쏦뗄3룶쫽ퟩ뇤솿뚨틥뗄, 쯼쪵볊짏쫇튻룶3캬쫽ퟩ. X퓲ퟓ쫇튻룶뇤솿, 쯼뗄횵좡ퟔ폚X_RANGE. Y쫇튻룶쫽ퟩ벴Y(1)떽뷌Y(6), 쯼폐횵Y_RANGE.뛸SET훐쯹돶쿖뗄뇤솿뗄쫴탔횵평낸DATA폯뻤살짨훃.24짏튳쿂튳췋돶
SETS:맾SET1 /A, B, C/: X, Y;릤ENDSETSDATA:돌X = 1 2 3; Y = 4 5 6;듳ENDDATA톧쪵볊짏ꎬ짏쏦뗄쮵램폐킩뗘랽쫇늻좷쟐뗄ꎬ헢쫇틲캪쫽LINGO훐뗄쫽ퟩ폫컒쏇춨뎣쯹쳡벰뗄쫽ퟩ뮹쫇폐뗣늻튻퇹ꆣ횵쿂쏦컒뇠쇋튻룶퇝쪾돌탲ꎬ쯼늻쓜볆쯣폅뮯컊쳢ꎬ쯼뫍컒쏇쯹볆춨뎣뾴떽뗄내쮳탲횴탐뗄볆쯣믺돌탲쫇튻퇹뗄ꎬ헢룶돌탲퇝쪾쯣쇋쫽ퟩꆢFOR톭뮷ꆢSUM쏼쇮뗄쪹폃랽램ꎬ뛔폚웤쯼뗄쏼죭쇮ꎬ뿉틔닎뾼듋돌탲ꎬ웤훐ꎬ틔“ꎡ”뾪쪼뗄탐쫇힢쫍탐ꆣ볾죧맻쓣쿫퓚LINGO훐횴탐듋돌탲ꎬ늻폃훘탂쫤죫ꎬ횻튪폃뗧쫳뇪듓뚼쫇“ꎡ”뗄탐뗄쿂튻탐뾪쪼ꎬ튻횱톡훐떽놾컄볾뗄뷡ퟓ쫸ꎬ좻뫳붫헢뛎COPY떽LINGO훐벴뿉ꆣ쇭췢ꎬ헢뛎돌탲퓚뷌맢엌짏뗄LINGO쒿슼쿂ꎬ컄볾쏻쫇ꎬ쓣뿉틔ힰ죫낸듋돌탲ꎬ횱뷓퓚LINGO훐퓋탐ꆣ25짏튳쿂튳췋돶
!폃SETS폫ENDSET뚨틥쫽ퟩ;맾sets:릤!뚨틥쫽ퟩa,웤틽폃횵캪value1(1),value1(2),......,value1(5);돌!퓚FOR,SUM뗈쏼쇮훐뗄틽폃쏻돆캪a(1),a(2),......,a(6) ;듳a/1..5/:value1; 톧!뚨틥쫽ퟩb,웤틽폃횵캪value2(1),value2(2),......,value2(6);!퓚FOR,SUM뗈쏼쇮훐뗄틽폃쏻돆캪b(1),b(2),......,b(6) ;쫽b/1..6/:value2;횵!뚨틥쫽ퟩc,웤틽폃횵캪:볆!value3(1,1),value3(1,2),......,value3(1,6);쯣!value3(2,1),value3(2,2),......,value3(2,6);죭!..............................................................볾!value3(5,1),value3(5,2),......,value3(5,6)!퓚FOR,SUM뗈쏼쇮훐뗄틽폃쏻돆캪c(i,j) ;뗧c(a,b):value3;ퟓ!뚨틥쫽ퟩd,캬쫽폫c튻퇹;뷌d(a,b):value4;낸endsets26짏튳쿂튳췋돶
!쫽ퟩ뗄뢳횵튪폃DATA폫ENDDATA쏼쇮;맾data:릤!캪쫽ퟩa,b,d뢳횵;돌!value1(1)=11,value1(2)=22,value1(3)=33,value1(4)=44,value1(5)=55;듳value1=11 22 33 44 55;톧!value2(1)=1,value2(2)=2,value2(3)=3,value2(4)=4,value2(5)=5,value2(6)=6;value2=1 2 3 4 5 6;쫽!value4(1,1)=1,value4(1,2)=2,value4(1,3)=3,value4(1,4)=4,value4(1,5)=5,value4(1,6)=6;횵!value4(2,1)=7,value4(2,2)=8,value4(2,3)=9,value4(2,4)=10,value4(2,5)=11,value4(2,6)=12;볆!value4(3,1)=13,value4(3,2)=14,value4(3,3)=15,value4(3,4)=16,value4(3,5)=17,value4(3,6)=18;쯣!value4(4,1)=19,value4(4,2)=20,value4(4,3)=21,value4(4,4)=22,value4(4,5)=23,value4(4,6)=24;죭!value4(5,1)=25,value4(5,2)=26,value4(5,3)=27,value4(5,4)=28,value4(5,5)=29,value4(5,6)=30;볾value4= 1 2 3 4 5 6뗧7 8 9 10 11 1213 14 15 16 17 18ퟓ19 20 21 22 23 24뷌25 26 27 28 29 30;낸enddata27짏튳쿂튳췋돶
!쿂쏦쫇튻룶뛾훘톭뮷,벴C=+D;맾@for(a(i):릤@for(b(j):돌듳value3(i,j)=value1(i)*value2(j)+value4(i,j)톧)쫽);횵!뛔쫽ퟩa쟳뫍;볆total_a=@sum(a(i):value1(i));쯣죭!뛔쫽ퟩb,좥뗴잰4룶풪쯘쟳뫍;볾total_b=@sum(b(i)|i #LT# 4:value2(i));뗧!쟳쫽ퟩd뗄뫍;ퟓtotal_d=@sum(d(i,j):value4);뷌낸!뛔쫽ퟩd,쟳뛔뷇쿟풪쯘뗄뫍;total_c=@sum(c(i,j)|i #EQ# j:value4(i,j));28짏튳쿂튳췋돶
