What is the Traveling Salesman Problem?

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  • Опубліковано 30 чер 2024
  • A quick introduction to the Traveling Salesman Problem, a classic problem in mathematics, operations research, and optimization.
  • Наука та технологія

КОМЕНТАРІ • 31

  • @pamward7579
    @pamward7579 2 роки тому +32

    I often use real-world examples to explain to my middle school math students why some of the more arcane things we do have applications. This video is really terrific and even my six graders understood it. They always ask what they’re ever going to do with some of the math subjects we cover, and now I can show them something practical.

  • @riyamani8161
    @riyamani8161 3 роки тому +37

    The traveling salesman problem allows us to find the shortest or the longest path used to travel to all the given areas once and return to the starting point. There are various methods used to find this out. There is no perfect solution but an optimal solution can be selected and implemented.

  • @neerajmahapatra5239
    @neerajmahapatra5239 2 роки тому +6

    This is amazing video! Lots of you tubers just start teaching the logic and solving the problem without stating the usage of the problem by relating it to real life scenarios.

  • @Intrafacial86
    @Intrafacial86 2 роки тому +5

    I’d like to know more about this and how various methods work, but the highest math I’ve taken is college calculus (and that was 10ish years ago) and most of the material I’ve found seems way over my head, like I’m missing several years of college courses and all the terminology that would come with it.

  • @bastiyourdeveloper5744
    @bastiyourdeveloper5744 2 роки тому +2

    Hi - perfect video - nice pics :-)
    Just FYI: the current fastest exact Algorithm is: Bellmann-Held-Karp O(2^n)

  • @wolfinthesuit
    @wolfinthesuit 2 роки тому +9

    Enroll in IT they said, it will be easy they said

  • @adityabehera3982
    @adityabehera3982 3 роки тому +3

    Traveling Salesman Problem allows us to choose an optimal path, for example, when we need a school bus to visit many different houses in a city.

  • @kloassie
    @kloassie Рік тому +2

    Explain the christofian 1.5 solution and give an heuristic example as well please

  • @willjadsonevania9787
    @willjadsonevania9787 8 місяців тому

    teacher I developed a heuristic and would like to share it. My heuristic uses topology and concentric circles. What do you think?.

  • @Jkauppa
    @Jkauppa 2 роки тому

    try sorting all edge lengths, amount ½n^2, n is location count, then try the permutations until you have a guaranteed shortest loop path

    • @Jkauppa
      @Jkauppa 2 роки тому

      so you travel edges, not permutating the target (cities, locations)

    • @Jkauppa
      @Jkauppa 2 роки тому

      it gives even more permutations to test, but gives an actual solution

    • @Jkauppa
      @Jkauppa 2 роки тому

      graph theory solution

    • @Jkauppa
      @Jkauppa 2 роки тому

      try djisktra shortest path algorithm, breadth first on all location starting points

    • @Jkauppa
      @Jkauppa 2 роки тому

      please note, not all permutations are unique routes

  • @larubiano0
    @larubiano0 2 роки тому

    Nice thanks

  • @Bioassasin01
    @Bioassasin01 2 роки тому

    Wait... this makes no sense, why did you cut out the part with the farmer and the 3 holes in the wall?

  • @johnstfleur3987
    @johnstfleur3987 2 роки тому

    YES.

  • @thatgameguy4929
    @thatgameguy4929 Рік тому

    Have you tried slime mold?

  • @dimitrijmaslov1209
    @dimitrijmaslov1209 2 роки тому

    .

  • @marcusaurelius8030
    @marcusaurelius8030 Рік тому

    how the hell is this O(n!) ??

  • @EXEFaker
    @EXEFaker Рік тому

    Imagine being a Salesman and this actually happens (I k it can happen irl on godddd it's a joke)

  • @caballopalido
    @caballopalido 2 роки тому +5

    THIS GUY'S VOICE NEEDS TO BE LESS MOISTURE-SMACKING

    • @Ma_rkw589
      @Ma_rkw589 2 роки тому +1

      Euuuugh god I know

  • @aleksszukovskis2074
    @aleksszukovskis2074 3 роки тому +2

    first

  • @kaanakgul9691
    @kaanakgul9691 26 днів тому

    drink some water man