ÐÏࡱá>þÿ   þÿÿÿ ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ; CRXP( CR, PR) : A1; CIXP( CI, PR) : A2; CFXP( CF, PR) : A3; UXP( UNIT, PR) : B; UXI( UNIT, PLANT) : K; PXM( PLANT, MARKET) : RD1, MUF; PXI( PR, PLANT) : Z; CFXPXM( CF, PLANT, MARKET) : X; CRXI( CR, PLANT) : U; CFXI( CF, PLANT) : E; CFXM( CF, MARKET) : D, V; ENDSETS ! Demand equations; @FOR( CFXM( C, J): D( C, J) = 5.209 * ( 1 + 40/ 100) * DD( J)/100); ! Transport rate equations; @FOR( PXM( I, J)| RD1( I, J) #GT# 0: MUF( I, J) = 2.48 + .0084 * RD1( I, J)); @FOR( PXM( I, J)| RD1( I, J) #LE# 0: MUF( I, J) = 0); @FOR( PLANT( I)| RD2( I) #GT# 0: MUE( I) = 2.48 + .0084 * RD2( I)); @FOR( PLANT( I)| RD2( I) #LE# 0: MUE( I) = 0); @FOR( MARKET( J)| RD3( J) #GT# 0: MUV( J) = 2.48 + .0084 * RD3( J)); @FOR( MARKET( J)| RD3( J) #LE# 0: MUV( J) = 0); ! For each plant I1; @FOR( PLANT( I1): ! Sources >= uses, final products; @FOR( CF( CF1): [MBF] @SUM( PR( P1): A3( CF1, P1) * Z( P1, I1)) >= @SUM( MARKET( J1): X( CF1, I1, J1)) + E( CF1, I1)); ! Intermediate products; @FOR( CI( CI1): [MBI] @SUM( PR( P1): A2( CI1, P1) * Z( P1, I1)) >= 0); ! Raw materials; @FOR( CR( CR1): [MBR] @SUM( PR( P1): A1( CR1, P1) * Z( P1, I1)) + U( CR1, I1) >= 0); ! Capacity of each productive unit M1; @FOR( UNIT( M1): [CC] @SUM( PR( P1): B( M1, P1) * Z( P1, I1)) <= K( M1, I1)); ); ! For each final product CF1; @FOR( CF( CF1): ! Demand requirements for each market J1; @FOR( MARKET( J1): [MR] @SUM( PLANT(I1): X( CF1, I1, J1)) + V(CF1, J1) >= D( CF1, J1)); ! Upper limit on exports ; [ME] @SUM( PLANT( I1): E( CF1, I1)) <= EB( CF1); ); ! Components of objective; PHIPSI = @SUM( CR( CR1): @SUM( PLANT( I1): PD(CR1) * U(CR1, I1))); PHILAM = @SUM( CF( CF1): @SUM(PLANT(I1): @SUM(MARKET(J1):MUF(I1,J1)* X(CF1, I1, J1))) + @SUM( MARKET( J1): MUV( J1) * V( CF1, J1)) + @SUM( PLANT( I1): MUE( I1) * E( CF1, I1))); PHIPI = @SUM( CFXM( CF1, I1): PV( CF1) * V( CF1, I1)); PHIEPS = @SUM( CFXP( CF1, I1): PE( CF1) * E( CF1, I1)); [OBJROW] MIN = PHIPSI + PHILAM + PHIPI - PHIEPS; DATA: A1= -1.58, -1.38, 0, 0, 0, -0.63, 0, 0, 0, 0, 0, -0.57, 0, 0, 0, 0, 0, 0, -0.58, 0, 0, 0, -0.33, 0, -0.12; A2= 1, 0, -0.77, 0, -0.95, 0, 1, 0, -1.09, 0; A3= 0, 0, 1, 1, 1; B = 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0; K = 3.25, 1.40, 1.10, 0, 0, 1.50, 0.85, 0, 0, 0, 2.07, 1.50, 1.30, 0, 0, 0, 0, 0, 0.98, 1, 0, 0, 0, 1.13, 0.56; RD1= 1204 218 1125 1017 0 1030 819 1305 704 1017 0 1030 185 1085 760; RD2 = 739, 521, 0, 521, 315; RD3 = 428, 521, 300; PD = 18.7, 52.17, 14, 24, 105; PV = 150; PE = 140; EB = 1; DD = 55, 30, 15; ENDDATA END MODEL: ! The Mexican Steel problem; SETS: ! Steel plants; PLANT /AHMSA FUNDIDA SICARTSA HYLSA HYLSAP/: RD2, MUE; ! Markets; MARKET / MEXICO MONTE GUADA /: DD, RD3, MUV; ! Final products; CF /STEEL/: PV, PE, EB; ! Intermediate products; CI / SPONGE PIGIRON/; ! Raw materials; CR /PELLETS COKE NATGAS ELECTRIC SCRAP/ : PD; ! Processes; PR /PIGIRON1 SPONGE1 STEELOH STEELEL STEELBOF/; ! Productive units; UNIT / BLASTFUR OPENHEAR BOF DIRECT ELECARC/; ! þÿÿÿýÿÿÿþÿÿÿþÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿRoot EntryÿÿÿÿÿÿÿÿBCONTENTSÿÿÿÿÿÿÿÿÿÿÿÿBÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ  !"#$%&'()*+,-./0123456789þÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿRoot Entryÿÿÿÿÿÿÿÿ*0_šîÏ»òÀð^ð ³±eþÄBContentsÿÿÿÿÿÿÿÿÿÿÿÿ›ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿþÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿþÿÿÿýÿÿÿþÿÿÿþÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿì‹{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Courier New;}} {\colortbl ;\red0\green0\blue255;\red0\green0\blue0;\red0\green175\blue0;} \viewkind4\uc1\pard\cf1\f0\fs20 MODEL\cf2 : \par \cf3 ! The Mexican Steel problem;\cf2 \par \cf1 SETS\cf2 : \par \cf3 ! Steel plants;\cf2 \par PLANT /AHMSA FUNDIDA SICARTSA HYLSA HYLSAP/: \par RD2, MUE; \par \cf3 ! Markets;\cf2 \par MARKET / MEXICO MONTE GUADA /: DD, RD3, MUV; \par \cf3 ! Final products;\cf2 \par CF /STEEL/: PV, PE, EB; \par \cf3 ! Intermediate products;\cf2 \par CI / SPONGE PIGIRON/; \par \cf3 ! Raw materials;\cf2 \par CR /PELLETS COKE NATGAS ELECTRIC SCRAP/ : PD; \par \cf3 ! Processes;\cf2 \par PR /PIGIRON1 SPONGE1 STEELOH STEELEL STEELBOF/; \par \cf3 ! Productive units;\cf2 \par UNIT / BLASTFUR OPENHEAR BOF DIRECT ELECARC/; \par \cf3 ! ;\cf2 \par CRXP( CR, PR) : A1; CIXP( CI, PR) : A2; \par CFXP( CF, PR) : A3; UXP( UNIT, PR) : B; \par UXI( UNIT, PLANT) : K; \par PXM( PLANT, MARKET) : RD1, MUF; \par PXI( PR, PLANT) : Z; \par CFXPXM( CF, PLANT, MARKET) : X; \par CRXI( CR, PLANT) : U; CFXI( CF, PLANT) : E; \par CFXM( CF, MARKET) : D, V; \par \cf1 ENDSETS\cf2 \par \cf3 ! Demand equations;\cf2 \par \cf1 @FOR\cf2 ( CFXM( C, J): \par D( C, J) = 5.209 * ( 1 + 40/ 100) * DD( J)/100); \par \cf3 ! Transport rate equations;\cf2 \par \cf1 @FOR\cf2 ( PXM( I, J)| RD1( I, J) #GT# 0: \par MUF( I, J) = 2.48 + .0084 * RD1( I, J)); \par \cf1 @FOR\cf2 ( PXM( I, J)| RD1( I, J) #LE# 0: \par MUF( I, J) = 0); \par \par \cf1 @FOR\cf2 ( PLANT( I)| RD2( I) #GT# 0: \par MUE( I) = 2.48 + .0084 * RD2( I)); \par \cf1 @FOR\cf2 ( PLANT( I)| RD2( I) #LE# 0: MUE( I) = 0); \par \cf1 @FOR\cf2 ( MARKET( J)| RD3( J) #GT# 0: \par MUV( J) = 2.48 + .0084 * RD3( J)); \par \cf1 @FOR\cf2 ( MARKET( J)| RD3( J) #LE# 0: MUV( J) = 0); \par \cf3 ! For each plant I1;\cf2 \par \cf1 @FOR\cf2 ( PLANT( I1): \par \cf3 ! Sources >= uses, final products;\cf2 \par \cf1 @FOR\cf2 ( CF( CF1): [MBF] \par \cf1 @SUM\cf2 ( PR( P1): A3( CF1, P1) * Z( P1, I1)) >= \par \cf1 @SUM\cf2 ( MARKET( J1): X( CF1, I1, J1)) + \par E( CF1, I1)); \par \cf3 ! Intermediate products;\cf2 \par \cf1 @FOR\cf2 ( CI( CI1): [MBI] \par \cf1 @SUM\cf2 ( PR( P1): A2( CI1, P1) * \par Z( P1, I1)) >= 0); \par \cf3 ! Raw materials;\cf2 \par \cf1 @FOR\cf2 ( CR( CR1): [MBR] \par \cf1 @SUM\cf2 ( PR( P1): A1( CR1, P1) * \par Z( P1, I1)) + U( CR1, I1) >= 0); \par \cf3 ! Capacity of each productive unit M1;\cf2 \par \cf1 @FOR\cf2 ( UNIT( M1): [CC] \par \cf1 @SUM\cf2 ( PR( P1): B( M1, P1) * Z( P1, I1)) <= \par K( M1, I1)); \par ); \par \cf3 ! For each final product CF1;\cf2 \par \cf1 @FOR\cf2 ( CF( CF1): \par \cf3 ! Demand requirements for each market J1;\cf2 \par \cf1 @FOR\cf2 ( MARKET( J1): [MR] \par \cf1 @SUM\cf2 ( PLANT(I1): X( CF1, I1, J1)) + V(CF1, J1) \par >= D( CF1, J1)); \par \cf3 ! Upper limit on exports ;\cf2 \par [ME] \cf1 @SUM\cf2 ( PLANT( I1): E( CF1, I1)) <= EB( CF1); \par ); \par \cf3 ! Components of objective;\cf2 \par PHIPSI = \cf1 @SUM\cf2 ( CR( CR1): \par \cf1 @SUM\cf2 ( PLANT( I1): PD(CR1) * U(CR1, I1))); \par PHILAM = \cf1 @SUM\cf2 ( CF( CF1): \par \cf1 @SUM\cf2 (PLANT(I1): \cf1 @SUM\cf2 (MARKET(J1):MUF(I1,J1)* \par X(CF1, I1, J1))) + \cf1 @SUM\cf2 ( MARKET( J1): \par MUV( J1) * V( CF1, J1)) + \cf1 @SUM\cf2 ( PLANT( I1): \par MUE( I1) * E( CF1, I1))); \par PHIPI = \cf1 @SUM\cf2 ( CFXM( CF1, I1): \par PV( CF1) * V( CF1, I1)); \par PHIEPS = \cf1 @SUM\cf2 ( CFXP( CF1, I1): \par PE( CF1) * E( CF1, I1)); \par [OBJROW] \cf1 MIN\cf2 = PHIPSI + PHILAM + PHIPI - PHIEPS; \par \cf1 DATA\cf2 : \par A1= -1.58, -1.38, 0, 0, 0, \par -0.63, 0, 0, 0, 0, \par 0, -0.57, 0, 0, 0, \par 0, 0, 0, -0.58, 0, \par 0, 0, -0.33, 0, -0.12; \par A2= 1, 0, -0.77, 0, -0.95, \par 0, 1, 0, -1.09, 0; \par A3= 0, 0, 1, 1, 1; \par B = 1 0 0 0 0 \par 0 0 1 0 0 \par 0 0 0 0 1 \par 0 1 0 0 0 \par 0 0 0 1 0; \par K = 3.25, 1.40, 1.10, 0, 0, \par 1.50, 0.85, 0, 0, 0, \par 2.07, 1.50, 1.30, 0, 0, \par 0, 0, 0, 0.98, 1, \par 0, 0, 0, 1.13, 0.56; \par RD1= 1204 218 1125 \par 1017 0 1030 \par 819 1305 704 \par 1017 0 1030 \par 185 1085 760; \par RD2 = 739, 521, 0, 521, 315; \par RD3 = 428, 521, 300; \par \par PD = 18.7, 52.17, 14, 24, 105; \par PV = 150; \par PE = 140; \par EB = 1; \par DD = 55, 30, 15; \par \cf1 ENDDATA\cf2 \par \cf1 END\cf2 \par \par }