método SIMPLEx
Transcrição
método SIMPLEx
Capítulo III: ALGORITMO SIMPLEX 1 Departamento de Engenharia de Sistemas - (DENSIS) FEEC/UNICAMP 352&(',0(172'20e72'26,03/(; 3DVVDUGHVROXomR%È6,&$)$&7Ë9(/DXPD RXWUDWHQWDQGRPHOKRUDUD)81d22%-(7,92 (VFROKHUXPDYDULiYHOQmREiVLFDTXHPHOKRUHDIXQomRREMHWLYR F,π$ ,! HFRORFiODQDEDVH (VFROKHUXPDYDULiYHOEiVLFDSDUDVDLUGDEDVHGHPRGRD PDQWHUIDFWLELOLGDGH 2 Departamento de Engenharia de Sistemas - (DENSIS) FEEC/UNICAMP (;(03/2 [[ ]0$; [[[ [[[ [[ [L! 6HMDDEDVH+ ^` 6ROXomR [ [ EiVLFD IDFWtYHO [ [ [ 23/MiHVWiQD)250$35(3$5$'$UHODWLYDjEDVH + ^`⇒[H[VmRFDQGLGDWDVDHQWUDUQDEDVHSRLVVHXV FRHILFLHQWHVVmRSRVLWLYRVHDXPHQWDP] (VFROKR[SDUDDXPHQWDUHQWUDUQDEDVHHFRQVHUYR[DQtYHO]HURIRUDGDEDVH 3$5$0$17(5$)$&7,%,/,'$'( [ [ [ [ [ [ [ [ [ /,1+$ %/248(,2 3 Departamento de Engenharia de Sistemas - (DENSIS) FEEC/UNICAMP &21&/862 [HQWUDQDEDVHDVVXPHYDORUSRVLWLYR [VDLGDEDVHDVVXPHYDORU]HUR + ^`⇒+ ^` &RORFDUR3/QDIRUPD35(3$5$'$UHODWLYDjEDVH+ ⇒%DVWDSLYRWHDUHPWRUQRGH$ [[[[[ ] [[[[[ ] 129$62/8d2 %È6,&$)$&7Ë9(/ 4 Departamento de Engenharia de Sistemas - (DENSIS) FEEC/UNICAMP $JRUDVy[ID]FUHVFHU]3RUWDQWRIDoR[FUHVFHUHQWUDUQDEDVH HPDQWHQKR[DQtYHO]HURIRUDGDEDVH 3$5$0$17(5)$&7,%,/,'$'( &21&/862 [ [ [ [ [ [ [ [LUUHVWULWR /,1+$ %/248(,2 [HQWUDQDEDVH [VDLGDEDVH + ^`⇒+ ^` 3LYRWHDUHPWRUQRGD$TXDGURDQWHULRU )LFD [[[[[ ] 129$62/8d2 %È6,&$)$&7Ë9(/ 5 Departamento de Engenharia de Sistemas - (DENSIS) FEEC/UNICAMP [DLQGDID]]FUHVFHU [HQWUDQDEDVH ⇒ [EORTXHLDRFUHVFLPHQWRGH[[VDLGDEDVH + ^`⇒+ ^` [[[[[ ] 62/8d2 %È6,&$Ï7,0$ 7RGRVRVFRHILFLHQWHVGDIXQomRREMHWLYRVmRQmRSRVLWLYRV ⇒]QmRSRGHPDLVDXPHQWDU 2%6(59$d®(6 VROXomRLOLPLWDGD VROXomRP~OWLSOD ,17(535(7$d2*(20e75,&$'26,03/(; &DPLQKDGHSRQWRH[WUHPRHPSRQWRH[WUHPRDGMDFHQWHDWUDYpVGDDUHVWDTXHRV OLJDQRVHQWLGRFHFUHVFHU] 6 Departamento de Engenharia de Sistemas - (DENSIS) FEEC/UNICAMP $/*25,7026,03/(;5(680,'2 6XSRQGRFRQVLVWrQFLDQmRUHGXQGkQFLDHFRQKHFLGDXPDEDVHIDFWtYHOLQLFLDO 9HULILFDUVHDEDVHIDFWtYHODWXDOpyWLPD6HIRUWHUPLQRX6HQmRYiSDUD 'HWHUPLQDUDYDULiYHOQmREiVLFDDHQWUDUQDEDVH 'HWHUPLQDUDYDULiYHOEiVLFDDVDLUGDEDVH $FKDUDQRYDVROXomREiVLFDIDFWtYHOSRUSLYRWHDPHQWRHYROWDUD 7 Departamento de Engenharia de Sistemas - (DENSIS) FEEC/UNICAMP $/*25,7026,03/(; 6XSRQGRFRQVLVWrQFLDDXVrQFLDGHUHGXQGkQFLDVHFRQKHFLGDXPDEDVH IDFWtYHOLQLFLDO+ FRORTXHRSUREOHPDQDIRUPDFDQ{QLFDUHODWLYDjEDVH+ ∧ ∧ GHWHUPLQH FV 0D[FL L∉+ ∧ VHFVWHUPLQRX$VROXomREiVLFD FRUUHVSRQGHjEDVH+pyWLPD ∧ VHFV!YiSDUD ∧ H[DPLQHRYHWRU$V ∧ VH$VLHWRGRVVHXVFRPSRQHQWHVVmRQmRSRVLWLYRV WHUPLQRX23/WHPVROXomRLQILQLWD ∧V VH^L$L!`≠φ DGHWHUPLQHU ∧V ∧ EU ∧V $U 0tQLPR ∧V ^L!` $U ∧ EL {$ } ∧V L $U ELGHQWLILTXHFRPRHOHPHQWRSLY{'HILQD DQRYDEDVH+¶WURFDQGRVSRUU ∧V FSLYRWHLHHPWRUQRGHHYROWHD $U Departamento de Engenharia de Sistemas - (DENSIS) FEEC/UNICAMP 8 &219(5*Ç1&,$'20e72'26,03/(; 1XPDLQWHUDomRGR6,03/(;TXDQGRVHSDVVDGHXPDVROXomREiVLFDIDFWtYHOj RXWUDDIXQomRREMHWLYRFUHVFHGH∆] ∧ ∧ FVE ∧V U$ U FROXQDV ∧ FV OLQKDU ∧V $U ]] ∧ EU &RPRSRUKLSyWHVH ∧ FV! ∧ EU! ∧V $U! ∧ VHFV⇒VROXomRyWLPD QmRGHJHQHUHVFrQFLD ∧V ∧ V VHF !H$ U ⇒VROXomRLOLPLWDGD &RQFOXLVH ∆]! 9 Departamento de Engenharia de Sistemas - (DENSIS) FEEC/UNICAMP 6HDIXQomRREMHWLYRFUHVFHHVWULWDPHQWHDFDGDLWHUDomRHRQ~PHURGHVROXo}HV EiVLFDVIDFWËYHLVpILQLWRHQWmRRPpWRGR6,03/(;FRQYHUJHSDUDXPDVROXomR yWLPDILQLWDRXSDUDXPDVROXomRyWLPDLOLPLWDGDQXPQ~PHURILQLWRGHSDVVRV 6,78$d®(6(63(&,$,6120e72'26,03/(; 3UREOHPDVGHPLQLPL]DomR 0LQI[ 0D[I[ (PSDWHQRFULWpULRGHHQWUDGDGDYDULiYHOQDEDVH GHVHPSDWDVHDUELWUDULDPHQWH (PSDWHQRFULWpULRGHVDtGDGDYDULiYHOQDEDVH GHVHPSDWDVHDUELWUDULDPHQWHVROXomRGHJHQHUDGD &LFODJHP 6HXP3/WHPVROXo}HVEiVLFDVIDFWtYHLVGHJHQHUDGDV RPpWRGR6,03/(;SRGHILFDULQGHILQLGDPHQWHVHPRYHQGR VREUHHODVFLFODQGR pPXLWRUDUR KiUHJUDVTXHHYLWDPFLFODJHP 10 Departamento de Engenharia de Sistemas - (DENSIS) FEEC/UNICAMP
Documentos relacionados
Ano IV - Prefeitura Municipal de Mauá da Serra
)81&,21$0(172¬9È&823$5$68&&d2'()/8,'26 &25325$,6(6(&5(d®(61$5(*,21$6$/)$5,1*(( 75$48(,$)81&,21$0(172$75$9e6'(%20%$7,32 3,672727$/0(17(,6(17$'(Ï/(2'(9(352'8=,5 9È&...
Leia mais