Branch and Bound Technique for Integer Programming

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  • Опубликовано: 30 сен 2024
  • MathsResource.github.io

Комментарии • 35

  • @sikanderkhan1390
    @sikanderkhan1390 6 месяцев назад +4

    Is it just me or did he not explain a single thing that’s going on here

  • @SojaDaSauce
    @SojaDaSauce Год назад +13

    not very understanding

  • @SequinBrain
    @SequinBrain 3 года назад +11

    where are these numbers coming from?

    • @XEQUTE
      @XEQUTE 2 года назад

      exactly!!!

    • @XEQUTE
      @XEQUTE 2 года назад

      but I have studied this concept in my computer science studies so 6.5 is the lowest number that will result in z

    • @SequinBrain
      @SequinBrain 2 года назад +1

      @@XEQUTE ya, if you can ever figure it out, make sure to write the complete idea somewhere, since these vague concepts won't be easy to see later on.

    • @XEQUTE
      @XEQUTE 2 года назад

      @@SequinBrain 1. well I have , so you need i can explain in very simple words
      2. yeah , writing it down as we speak!

    • @XEQUTE
      @XEQUTE 2 года назад +1

      Well , no reply but i will write it down here for anyone to understand .
      so first of all our function is 2x1 +4x2

  • @kadirhanduman
    @kadirhanduman 9 месяцев назад +1

    Sesiniz cok iyi arkadaşlar arada beğenin gelip dinliyim

  • @anonym9713
    @anonym9713 2 года назад +2

    Because of the integer coefficients in the funktion you could have stoped after node 1B. Am i right? So x=(8,2) is a optimal solution.

  • @huijiang7386
    @huijiang7386 2 года назад +7

    Why is node 2D infeasible? Let x1=7 and x2=2.75, they satisfy 2*x1+4*x2

    • @AAsh1927
      @AAsh1927 2 года назад +3

      As u can see, 2D is branched from 1B, with x2>=3. so yeah

    • @70ME3E
      @70ME3E 2 года назад +1

      Does seem feasible to me too, satisfies the other 2 constraints too you didn't mention, namely x1

    • @timon7855
      @timon7855 2 года назад +6

      @@70ME3E It does indeed satisfy the other 2 constraints, but fot this solution to be feasible, it ALSO needs to satisfy the constraint that was branched on, namely x2>=3. X2 is set to 2.75 by Hui Jiang, and 2.75 is not equal to or greater than 3.
      Thus, the misunderstanding lies in that the condition x2>=3 must also be satisfied for the solution to be feasible in this situation.
      In the general problem it might be feasible, but we only count it as feasible if it is feasible for the sub-problem.
      Does that clear things up?

    • @chaimaelaissaoui6870
      @chaimaelaissaoui6870 Год назад

      because
      when
      ull
      try
      to
      dothedual:simplexe
      ull
      find
      onlynegativ
      values
      which
      means
      translate
      it
      in
      englishwhat
      wecalll:
      solution
      irréalisable

    • @wwfgxnyi
      @wwfgxnyi Год назад

      Because x1 and x2 have to be integers finally.

  • @zeynepovnn
    @zeynepovnn 9 месяцев назад +1

    Your voice is soothing, my energy increased before the exam thankssss

  • @cintaadilia6446
    @cintaadilia6446 3 года назад +3

    Thank u sir god bless you

  • @batoulkeddar2801
    @batoulkeddar2801 3 года назад +1

    Thank you

  • @tawfikahmed.2526
    @tawfikahmed.2526 3 года назад +1

    Thanks :)

  • @vanessamelo6874
    @vanessamelo6874 4 года назад +2

    Perfect!!!!

  • @dinathaib631
    @dinathaib631 3 года назад +1

    perfect sir, thank yoy

  • @hadjer2563
    @hadjer2563 Год назад +1

    why are you not explaining why we are stopping in some instances, I mean !!! can you please explain in detail.. ugh

  • @johncarnes5544
    @johncarnes5544 2 года назад +2

    That 3rd constraint just had to be left un-simplified! That's okay, thanks for the video. Did you or did you not choose the non-integer optimum solution for node 0?

    • @70ME3E
      @70ME3E 2 года назад

      "Did you or did you not choose the non-integer optimum solution for node 0?"
      What do you mean? we cannot choose it as the solution, because we need integers. Computing it without the integrality constraints is just part of the algorithm.

  • @marcosleno3561
    @marcosleno3561 Год назад

    Thanks!

  • @ibrahimlucious274
    @ibrahimlucious274 4 года назад +1

    really helpful thanks alot

  • @albycosmy9978
    @albycosmy9978 2 года назад

    Thank you!!

  • @RZ568
    @RZ568 4 года назад +4

    This video is very helpful, thank you for posting!

  • @munsif2320
    @munsif2320 4 года назад +1

    Perfect sir