Nrog rau qhov kev tshwm sim ntawm kev ua haujlwm tawm, cov txheej txheem no tau siv rau cov teeb meem suav nrog kev ua haujlwm, qhov siab tshaj plaws, thiab kev thauj mus los. Nyob rau niaj hnub no, combinatorial optimization yog siv tau rau txoj kev kawm ntawm algorithms, nrog tshwj xeeb muaj feem xyuam rau kev txawj ntse, kev kawm tshuab, thiab kev tshawb fawb ua haujlwm.
Kev ua kom zoo dua qub yog siv rau dab tsi?
Combinatorial optimization yog txheej txheem ntawm kev tshawb nrhiav maxima (lossis minima) ntawm lub hom phiaj muaj nuj nqi F uas nws lub npe yog qhov tsis sib xws tab sis loj qhov chaw teeb tsa(as opposed to N-dimensional qhov chaw tas mus li).
Vim li cas combinatorial optimization nyuaj?
Qhov teeb meem tshwm sim los ntawm qhov tseeb tias tsis zoo li cov txheej txheem linear, thaj tsam ua tau ntawm qhov teeb meem sib txuas tsis yog qhov teeb tsa. Yog li, peb yuav tsum, es tsis txhob, tshawb xyuas lub lattice ntawm cov ntsiab lus ua tau, lossis nyob rau hauv cov ntaub ntawv ntawm cov ntaub ntawv sib xyaw ua ke, ib txheej ntawm cov kab sib txuas ib nrab lossis kab ntu kom pom qhov kev daws teeb meem zoo.
Dab tsi yog qhov teeb meem combinatorial optimization?
Combinatorial optimization yog ib lub ntsiab lus uas muaj ntawm kev nrhiav pom qhov khoom zoo los ntawm cov khoom tsis kawg… yog discrete los yog yuav raug txo kom discrete, thiab nyob rau hauv uas lub hom phiaj yog nrhiav qhov zoo tshaj plaws tov.
Is combinatorial optimization NP-hard?
Thaum qhov kev txiav txim siab version ntawm qhov teeb meem kev sib xyaw ua ke tau ua pov thawj tias muaj nyob hauv chav kawm ntawm NP-ua tiav cov teeb meem, ces qhov kev ua kom zoo dua yog NP- nyuaj… Qhov teeb meem optimization, piv txwv li, nrhiav qhov tsawg kawg nkaus tus lej (tsawg kawg k) ntawm lub hnub qub zoo li polygons uas nws lub koom haum sib npaug rau ib qho yooj yim polygon, yog NP- nyuaj.
