کامپیوتر و IT و اینترنتعلوم مهندسی

GAMS general algebraic modeling system

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@ GOS Gaver Gi surg Gorin ‏یی زین‎ Presa Van Oppied OR Ordetery Onurse 4estruntor: Dr. bbus Get Prepares by: Osan Barck

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2 ۵00۵ ‏توالت‎ ‎© Dreceportaiva Problew © ew warket (Dorp) © poral oa sul * OrPramc * Or yarer oP the reat ‏كحت كلابب‎ without the ovatract — 2 ways 8 higher Pretght ooste Por the suller plat — OG ways to dePioe ‏اس سح‎ ۶ )۳وجلصم‎ ۲ subsequed pears: + seh Prakres (PF we have koe) 8 @has sttecet © barge tables * Phebe, Por, ced while states presectaton ts beased rt ‎DDS 1D Recah‏ ناهوس ‎carl fe‏ ی همص مود ادهصاه ها سسوم معا فالتا ‎exnd GOOG Over's Burke ‎

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9

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‎wis existoc wodels ood wodPy theo‏ ما موه نو ‎Ourngewed Griewe oct OR ‎Ore Covwwies QRevreutiocad Dodets ‏اه‎ ‏ایحا‎ ‎Over Covwxwies ‎Oolertioa oP prograns ‎Opricuhurd Coowwies Opptied Ceveral Cquiibrivey Coowwic Oevelopwet Coen Coowwirs Piece ‎Poresiry

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© Crt GOOG © Open wew proient, suve it he desktop (cay unre) © Open Proasportatica Problew Prow the Dude Library © ype 'D 7 © Gave the Pie to the deshiop (“Progra!”, use “Gave oe" in “Pie” wen) * Oka chogges should we woke to odd 0 cew worket io

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۰ ‏سس () - عالمو)‎ = 8.9 thousands wiles * Gao Diew — Oorqeatowa = 6.0 thousueds wes © Orie ‏صا اصوصن هن‎ pour progeny usicKy en © "SOctext ... 90۳۳ — culiple-haes cowed © Gave the Pie, Rua

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© Oket is the wodel status? © Okt phrst supphes © Dorman? Wow ona oases? * Oko a the wit ‏عمج موس‎ ° Okt story do the wargedt voles Por equines tell? © Now wal he costs choage Pe “Porce” Geutle pratt supply dO cases to Oorxpriows?

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۹ و ° poatrant va delivery oP WO cases ‏موه مس‎ 0 Ooo xPx(“Geutle”, “Ovrgctewa”) = 10; ° Dura oP evko prict $OPPistiey — Rter ‏ناس‎ ceeded tite, startiagy a the Pirst position ۰ the hoe با ماه له موی اه ی ‎OD, leoool = 0:‏ ۶ سا مرن ° bow do the wicked troasportaiiva ‏وه سوه‎

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& Cowper the costs ued shipwed poteras wit ood

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سو © - وا لجع ۱ عره©) ‎ad f=)‏ وه وس عم( وه مت ‎Gave pour‏ &° اطلت با مت تال او با او ۶ )9۳9 ‏علا‎ Gole stewed, declare wew Poraweters RECU4)) 364 BAT ced cssica thew the voles xL(i,j) ord zh; © Oefice the ‏مدصت‎ © Give wwher Gober stctewedt °° Oevhre ww Poruweters RECO(1j) ad at, ord este thew the value oP ‏ناد لجه (ز) راع‎ © Cowper oot, tO, RECT an REGCE (Diepky ptateceul)

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save the results in new parameters Parameters costl "minimal transportation costs w/o contract’ RES1(i,j) "shipment w/o contract"; costl = z.L; RESL(i,j) = x-L(i,3): enforse the contract ¢.fx('seattle', 'morgantownWv') = 10; solve the model for the new settings solve transport using 1p minimizing 2: save the results in new parameters Marameters cost2 minimal transportation costs with contract RES2 (i,j) shipment given the contract; cost2 = 2.1; RES2 (i,j) = x-L(i,j)i

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Loop(Courvitay Get Dawe, Coward); °° Loop. reped the set oP coweends Por ol eleweats oP ie ‏اعد اور‎ © Gave pour proynny os Progen, write cores °° ODetete the eed oP pour proenne startiog with the Pirst Goble 5۳9 ۱ slide)

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‎ther bore‏ صا نت ‎Model transport /all/ ; +‏ ‎* declare a set with elements solvel and solve2 Set SOL solutions /solvel, solve2/; ‎+ declare parameters to save solution results Parameters mincost (SOL) transportation costs for 2 models RES (SOL, i,j) shipment pattern for 2 models; ‎Loop (SOL, Solve transport using lp minimizing 2; RES (SOL, i, 4) ‏یت در‎ + mincost (SOL) = 2.1: ‎prepare for second solve x.fx('seattle', 'morgantownmv') = 10; ‎ve ‎Display nincost, RES:

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9B producer ts sual, Freight posts ane kicker © $-perar: BOOS’ way ty say ‘oop PF ‎dolar va the right‏ - :((0(<2000) 9083 - زد ‎PW)S(al)>COD) = OD; — - dolar va the teh‏ ‎PQ) wll be OO ody BP plants tprodwes wore tar GOO

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© Dole va the eR P(W)$(a(i>COO) = BO; - Pi), awk tha of)>SOO, rants OO” -weniny # (aj) > SOO), thea Pi) = OO =o essipevedt is wade unless he bnyicd ovation is suishied © Optar va the right! ‏راع‎ - 9030-2000 (, - “Pi = 80 F of>SOO" + weeny F (afi) > GOO), thes P(i) = OO, eb Pi) = O > assiqaed is chaps wade. ” w vertubles vod be used do dePioe ‏عروثا ججشتلجمت أمصوها‎ COG teckucd reuvds.

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& Gave pour ‏اس ار ,وت و مت‎ & Dreasportaiiva costs are higher Por a swuler producer © Covered cul ‏و ناویل‎ Grote F © Odd Ai) to the set oP Poraweters ۶ Duke Preight costs higher by $G/rase Phe phot produces fess thot GOO vases ۶ riot the vdlues oP poraeter P (Display stitecet)

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Parameters f (i) freight in dollars per case per thousand miles c(i, j) transport cost in thousands of dollars per case; + 5${a(i) < S00); (i) * dij) / 1000 ۶ Display f;

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Ove con deRue subsets cvatutiy port of the eleweuts oP waver ‏و روص اعد‎ Get stotewedt sets i canning plants / seattle, san-diego / smalli(i) subset of set i - small plants /seattle/ j markets / new-york, chicago, topeka, morgantown / ;

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۳ weobers of sual, ud “(Puse” viherwise Parameter f(i) freight cost c(i,j) transport cost in thousands of dollars per case + ۶)1( 2 90 1 ۶ e(i,j) = £(4) * ‏(زژیذاه‎ / 1000 :

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& beg! netaiceship betwee tee periods T ond D-C bead: relticaship betwers toe periods 1١ D+

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+ program illustrating Lead operator Set T /1975*2004/; Parameter Population(T) population at time T; Population("1975") = 3; * calculate population for ali years in T Loop(T, Population(T+1) = Population(T)* 1.1); Display Population; ‘Dp! Open ace Ble, save oe prounne’?, wrte ‏لمجت و‎

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... ,© 4 ۱2 رکه ع ‎Poputaiva(!)‏ © © ORO: ques the relaive posiiog of a wewber ao set © Cxevple: ORO(ORS’) = 4 ۵606۵ ‏-(«۵م‎ 9 © CORO: the total cuceber of eleweuts iat the set © Cxervple: CORO(T) = 90

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* program illustrating the use of ORD operator: x(t) = a**t Set T time periods ۶ Parameter Population(T) population at time T; Sealar a /3/; * calculate population for all years in T Loop(T, Population(T) = a ** ORD(T)); Display Population; Nip: Opew a cew Ale, save he pron, write cower

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° gue ‏ای‎ ue ty ‏تما پا و‎ vet lies (1,17); © Open caw Pie, save thas Progr, wie ovaries set i /il*i3/; alias (i,j); 5 parameters a(i,j), b(i,i); 2 )1,( ۶ (0,1) هن ‎b(i,i)‏ uniform (0,1); display a, b;

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‘able ka(m,i) initial capital of productive unit inchon ulsan lacmos-dist 3702 12910 lsteam-car 537 _use the plus sign __ ‏و‎ move some of yosu the columns to the latmos-dist 9875 next lines lsteam-car 1207

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)< Opes cew Pie, seve its Progra, vorite ‏دملا صا لمجخخصصص ه‎ ۴ Poy * example of ron statement paraneter =: ‏مه و‎ 0.3 by 1.4,

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Open caw Ae, save tas Proyrowkl, write cori parameter s; oe S$ = -3.4; aa while(s le 0.3, s=s+1.4; display s; 1

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strictly less than less than-or-equal to equal to not equal to greater than or equal to strictly greater than

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1۳-0۵۵ 0 © Open caw Fle, seve ۱ ‏اه و 6و6 و‎ *program illustrating if-else statement parameter index; index = uniform(0,1); if((index le 0.5), display index, "index is less than 0.5"; else display index, "index is greater than 0.5"; Ve

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