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Sigrún B. Gunnhildardóttir Tækni- og verkfræðideild | T-403 Aðgerðagreining Fyrirlestur 14: Heiltölubestun – lausnaraðferðir

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www.hr.is Heiltölubestun Lausnaraðferðir : Skoða allar lausnir: Mjög erfitt að nota, fjöldi lausna er skv veldisvexti og það eru ekki til nógu góðar tölvur til að skoða stór vandamál. Branch & Bound : Skoða allar áhugaverðar lausnir og útiloka lélegar lausnir á formlegan hátt. Cutting Planes : Leysa línulegu nálgunina af heiltölulíkaninu. Bæta við skorðum sem taka burt bestu brotalausn þar til besta lausnin uppfyllir heiltöluskorður.
www.hr.is x 1 = 0 x 1 = 1 x 2 = 0 x 2 = 1 x 2 = 0 x 2 = 1 x 3 = 0 x 3 = 1 x 3 = 0 x 3 = 1 x 3 = 0 x 3 = 1 x 3 = 0 x 3 = 1 Original problem Skoða allar lausnir:

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www.hr.is Cutting Planes:
www.hr.is Cutting Planes:

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www.hr.is Cutting Planes:
www.hr.is Cutting Planes: max NPV = 16x 1 +22x 2 +12x 3 + 8x 4 +11x 5 +19x 6 mtt 5x 1 + 7x 2 + 4x 3 + 3x 4 + 4x 5 + 6x 6 ≤ 14 x {0,1} Einfölduð útgáfa : Byrjum á að finna nýjar skorður sem útiloka ekki gjaldgengar

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