1 / 11

Branch & bound módszer

Branch & bound módszer. A megoldandó feladat:. P(x) = 8x 1 + 5x 2  MAX x 1 + x 2 <= 6 9x 1 + 5x 2 <= 45 x 1 ,x 2 >= 0 x 1 ,x 2 - egész. Megoldás egészértékű feltételek nélkül:. X 1 = 3.75 X 2 = 2.25 Cfgv = 41.25. Korlátozás és Szétválasztás:. Bound =. 39.

ataret
Download Presentation

Branch & bound módszer

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Branch & bound módszer

  2. A megoldandó feladat: P(x) = 8x1 + 5x2 MAX x1 + x2 <= 6 9x1 + 5x2 <= 45 x1,x2 >= 0 x1,x2 - egész

  3. Megoldás egészértékű feltételek nélkül: X1 = 3.75 X2 = 2.25 Cfgv = 41.25

  4. Korlátozás és Szétválasztás: Bound = 39 X1 <= 3 X1 >= 4 X1 = 3 x2 = 3 Cfgv = 39

  5. Korlátozás és Szétválasztás: Bound = 39 X1 <= 3 X1 >= 4 X1 = 3 x2 = 3 Cfgv = 39 X1 = 4 x2 = 1.8 Cfgv = 41 Bound<Cfgv

  6. Korlátozás és Szétválasztás: Bound = 39 X1 <= 3 X1 >= 4 X1 = 3 x2 = 3 Cfgv = 39 X1 = 4 x2 = 1.8 Cfgv = 41 X2 <= 1 X2 >= 2 X1 = 4.44 x2 = 1 Cfgv = 40.55

  7. X1 <= 3 X1 >= 4 X1 = 3 x2 = 3 Cfgv = 39 X1 = 4 x2 = 1.8 Cfgv = 41 X2 <= 1 X2 >= 2 X1 = 4.44 x2 = 1 Cfgv = 40.55 Korlátozás és Szétválasztás: Bound = 39 Bound < Cfgv

  8. Korlátozás és Szétválasztás: Bound = 39 X1 <= 3 X1 >= 4 X1 = 3 x2 = 3 Cfgv = 39 X1 = 4 x2 = 1.8 Cfgv = 41 X2 <= 1 X2 >= 2 X1 = 4.44 x2 = 1 Cfgv = 40.55 X1 <= 4 X1 >= 5 X1 = 4 x2 = 1 Cfgv = 37 Bound > Cfgv

  9. Korlátozás és Szétválasztás: Bound = 39 40 X1 <= 3 X1 >= 4 X1 = 3 x2 = 3 Cfgv = 39 X1 = 4 x2 = 1.8 Cfgv = 41 X2 <= 1 X2 >= 2 X1 = 4.44 x2 = 1 Cfgv = 40.55 X1 <= 4 X1 >= 5 X1 = 4 x2 = 1 Cfgv = 37 X1 = 5 x2 = 0 Cfgv = 40 Bound < Cfgv

  10. Korlátozás és Szétválasztás: Bound = 40 X1 <= 3 X1 >= 4 X1 = 3 x2 = 3 Cfgv = 39 X1 = 4 x2 = 1.8 Cfgv = 41 X2 <= 1 X2 >= 2 X1 = 4.44 x2 = 1 Cfgv = 40.55 S = Ǿ Nincs megoldása X1 <= 4 X1 >= 5 X1 = 4 x2 = 1 Cfgv = 37 X1 = 5 x2 = 0 Cfgv = 40

  11. A megoldás: X1 = 5 x2 = 0 Cfgv = 40

More Related