Part 1 - Solving a Standard Maximization Problem using the Simplex Method

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  • Опубликовано: 21 мар 2010
  • This video is the 1st part of a video that demonstrates how to solve a standard maximization problem using the simplex method. References to using the TI-84 plus calculator are also given.

Комментарии • 241

  • @tklyfe
    @tklyfe 3 года назад +241

    10 hours to the exam. Bless.

  • @sharangrane557
    @sharangrane557 8 лет назад +166

    You saved me from failing in exam today. My exam was in the afternoon and I saw this video at morning. Before that I didn't know how to solve the problem at all. Thanks.

  • @leonard1871
    @leonard1871 3 года назад +8

    The level of clearity exhibited in explaining this is nothing short of amazing ..wow

  • @hardwarejunkie9
    @hardwarejunkie9 11 лет назад +6

    Excellent job. This is a perfect example. Easy to follow and consistent. It's really helping me catch up from being gone for a week in a grad class.

  • @shaunhartley9813
    @shaunhartley9813 10 лет назад +56

    This tutorial is so straight forward and easy to understand! I might just pass my semester test thanks to you

  • @roshhack
    @roshhack 11 лет назад +5

    You're amazing. I was trying to learn this method from months and you did it in few minutes. Tons and tons of thanks!

  • @ashihtaka
    @ashihtaka 12 лет назад +26

    honestly, I'm enrolled in a linear programming course (operations research) in engineering at U of T, and the professor has a phd and probably other extensive background in this, but after 5 weeks of lecture, she didn't teach me crap.
    This pretty much taught me more than $1000 of classes. Thank you for explaining every step and why it's necessary.

  • @BarbaraRademacher
    @BarbaraRademacher Год назад +5

    I've made handouts for my students urging them to watch your video. You explain very well.

  • @nargesm65
    @nargesm65 9 лет назад +5

    Thanks my man! I Wish college teachers could teach like this. Much love!

  • @TsiHang
    @TsiHang 4 года назад +6

    You saved me 50 pages worth of PowerPoint slide reading

  • @starryman1595
    @starryman1595 3 года назад +1

    One step closer to the perfection.Thanks for this Video !

  • @sandyjoy41993
    @sandyjoy41993 10 лет назад +22

    It's going to be -3/5 AND not 3/5 under s2

  • @ashimanarulaYOLO
    @ashimanarulaYOLO 9 лет назад +26

    I have my exam in 8 hours,
    Thank you for saving my butt.
    God bless 😊

  • @sludgepuppy
    @sludgepuppy 3 года назад

    Explained so well. I can't believe my lecturer wasted his time writing his textbook for it to make no sense when the topic is this simple.

  • @jnlbermundo
    @jnlbermundo 4 года назад +5

    The answer on S2 row 1 should be (-3/5).

  • @bentruong3
    @bentruong3 14 лет назад

    thanks a bunch. im going to have a midterm tomorrow exactly on this and you helped alot!

  • @pernormann4869
    @pernormann4869 10 лет назад +6

    Looks to me as if you're minimizing the transformed system. Why are you not stating that in your tutorial?
    Great clip!

  • @AhmedZekry911
    @AhmedZekry911 8 лет назад

    Thanks Scott that really really helps alot, i had my first midterm in this sheet all i had to do was watching this video after i had mind freezing trying to understand what is this!! But after your video i understood everything, and now on my second midterm tomorrow all i have to do is watching ur videi again to refresh things up and boom i finished studying, but the branch and bound method i dont understand it and i haven't seen any good video, but thanks alot again

  • @tuningjohn5342
    @tuningjohn5342 3 года назад +5

    Thanks Scott. I wish there was a little more context for this explanation though. Why are you doing what you’re doing? What cases are this method used for? Cheers.

  • @JDLupus
    @JDLupus 12 лет назад +2

    As i listen, I can't help but think you sound scarily similar to Levni Yilmaz of "Tales of Mere Existence" fame, which is a MASSIVE compliment, by the way :)
    Thank you very much for the Simplex booster; I needed it badly.

  • @JamesABrannan
    @JamesABrannan 9 лет назад

    Very good. Thanks greatly for this! Easily understood.

  • @Marcos10PT
    @Marcos10PT 6 лет назад +25

    at 1:00 you mention the number of non basic variables but you don't explain the reasoning behind it :/

  • @allard1991
    @allard1991 11 лет назад

    Great! Thank you! And what if the objective is to 'minimize'? What are we going to do then?

  • @AliKarimSayed
    @AliKarimSayed 7 лет назад +1

    brilliant explanation, what device you have used to write on paper for explanation, your handwriting on video is too good

  • @michellworthington6152
    @michellworthington6152 7 лет назад +2

    When finding whether to pivot with either the five or the three, why did you divide the five by eight and the three by ten? Do the three and five not both get divided into the ten? Why not?

  • @YoussefBouhjira
    @YoussefBouhjira 9 лет назад

    Thank you for this very good exaplanation. You have a new subscriber

  • @ishimarumichiko
    @ishimarumichiko 13 лет назад

    TQ VERY MUCH!!! I'm having Final exam 2morrow, and I'm stuck at this kind of question almost 2 hours! =3= , thank god I found your video. You solved my problem ! TQ VERY much ! >"

  • @ineedaniphone4
    @ineedaniphone4 10 лет назад +18

    Hi, thank you for the tutorial! Quick question: when choosing pivot elements, if the ratios are the same, is it okay to choose either one of those two? Thank you!

    • @aquarius_gaurav
      @aquarius_gaurav 2 года назад +2

      Maybe, I'm a little late but the answer to your question is YES :)

    • @gaminghats813
      @gaminghats813 2 года назад +8

      @@aquarius_gaurav lmao u are 8 years too late. this person probably has a job and kids now🤣

  • @Gnsd45
    @Gnsd45 8 лет назад

    When i get a negative in the last volume what to i do? Do i compare it with the rest of the values as normally to see if it is the lowest and use it as a pivot row or do i no longer take it into account, just how i would do if there was a zero in the pivot column?

  • @panoskatsos5454
    @panoskatsos5454 4 года назад +3

    this is youuur daily dose of internet

  • @Jaydev-oj2hx
    @Jaydev-oj2hx 2 года назад +1

    You were amazing! Thank you. Please make a video on dual primal method. Please

  • @malex572
    @malex572 10 лет назад

    3 years later and im thanking him for the samething in those exact words =D

  • @CoolDude911
    @CoolDude911 10 лет назад

    So the the constraint collumns tell you information about sensitivity but is there ever any use for the z collumn?

  • @gabrutis
    @gabrutis 11 лет назад

    Thanks for posting this video! This helped me out a lot! :)

  • @dhruvdevc
    @dhruvdevc Год назад +1

    What a useless professor I have. Explained it in a stupidly complex way. Thank you.

  • @ape-in-a-tree9701
    @ape-in-a-tree9701 3 года назад +1

    great explanation! thank you sir

  • @mishozdr
    @mishozdr 7 лет назад +1

    What to do if the "pivoting column" has a zero element? Because we will have to divide by zero when calculating the
    ratio.

  • @kadriyeeren7525
    @kadriyeeren7525 3 года назад +1

    how did we decide to write the coefficients of s1 and s2?

  • @mrzulu420
    @mrzulu420 12 лет назад

    Thanks, much better explanation than teacher's

  • @MiracleIsMyName
    @MiracleIsMyName 8 лет назад

    You just saved my life! Thanks!!!

  • @xkronos815
    @xkronos815 7 лет назад +8

    how do you pick a pivot column if you have two of the same most negative indicators?

    • @patrickhodson8715
      @patrickhodson8715 6 лет назад +6

      Anthony Delvecchio just pick one of them. It means the set of optimized points lies on one of the lines that defines the boundary of the feasible set, i.e. there’s more than one way to maximize the equation.

  • @siddharthalakandri2102
    @siddharthalakandri2102 5 лет назад

    Thanks! Short and easy😊😊

  • @allsimplekings
    @allsimplekings 9 лет назад

    Are the same concepts applied to minimization problems?

  • @MrYuvan
    @MrYuvan 12 лет назад

    thanks a lot sir.. u really made it very easy to understand..

  • @riricruz9082
    @riricruz9082 Год назад +1

    Thank you, so helpful!

  • @guvvalasomasekharreddy4168
    @guvvalasomasekharreddy4168 5 лет назад

    How we find real constant values which are in max function and subject constraint s

  • @jassanwanjiku348
    @jassanwanjiku348 Год назад

    Where did you get the negative 3?

  • @roul1j
    @roul1j 8 лет назад

    Thank you the wonderful explaination :)

  • @kietasjonas
    @kietasjonas 14 лет назад

    Thanks, you helped me a lot!

  • @abhiyogpatil8158
    @abhiyogpatil8158 10 лет назад

    hey cn we use decimals instead of fraction variables

  • @bushrayasmeeneverydayvlogs2793
    @bushrayasmeeneverydayvlogs2793 3 года назад +1

    Thanks for sharing

  • @scottrelliott
    @scottrelliott  14 лет назад +1

    Yep, the beta captions are pretty funny on my math videos :-) I need to go back and just do them myself.

  • @minilymo
    @minilymo 8 лет назад

    what happens if you get 1 or 2 negative ratios in the pivot?

  • @TechFreak51
    @TechFreak51 11 лет назад

    Same here .... I have a final & this will help a LOT !!!!

  • @miftahabdurahmen1023
    @miftahabdurahmen1023 4 года назад +1

    thank you very much I have got the point which was difficult for me

  • @ayoubloutry494
    @ayoubloutry494 9 лет назад

    thanks, very helpful !

  • @skylrgator
    @skylrgator 10 лет назад

    what happens when one of the ratios to find the pivot number is negative?

  • @nononnomonohjghdgdshrsrhsjgd
    @nononnomonohjghdgdshrsrhsjgd 2 года назад

    why do we start with the highest coeficient in the obj. function?

  • @trose77
    @trose77 11 лет назад

    amazing help thank you!

  • @seller6478
    @seller6478 10 лет назад

    thankyou for giving me 20 marks in MBA

  • @NikeBoyAmir
    @NikeBoyAmir 5 лет назад

    So with the last tableau, what are the solutions?

  • @arvindramesh2283
    @arvindramesh2283 8 лет назад

    can the same method for used for min function ???

  • @Raxer_th
    @Raxer_th 5 лет назад

    I learned that if a constraint is ... >= ... then we must add "-s+r" I wonder what is r stands for? Is it Artificial Variable?

  • @dssyazwina
    @dssyazwina 11 лет назад

    Is this similar to the Primal Dual Simplex Method? I mean, if i use this method instead of the Primal Dual Simple Method, does it guarantees the same answer for optimal solution?

  • @muhammadirfanjoyia3244
    @muhammadirfanjoyia3244 2 года назад

    Sir plz answer .. Why we convert minimize fn into maximize for solving it by simplex method??.

  • @syadabdiyowabdiyow3651
    @syadabdiyowabdiyow3651 3 года назад +1

    very nice lecture

  • @BenWannaBee
    @BenWannaBee 12 лет назад

    PLEASE MAKE MORE VIDEOS ON THIS STUFF!! :)

  • @cibokim5758
    @cibokim5758 8 лет назад

    Thanks so much it's great!

  • @crystalyin184
    @crystalyin184 8 лет назад

    super helpful, thank you!
    One question: why do we pivot in the second col? How does the most negative indicator impact the orders of operation we perform on the matrix? Thank you

  • @TissDiss
    @TissDiss 9 лет назад +1

    Do you have any videos or suggestions on understanding the underlying point of this? I'm learning this now, my teacher pretty much sucks, and I don't really understand what "Standard Maximization" or "optimal" actually mean. I can follow along and basically parrot what I'm shown online and in my book but don't really understand what or why. It's sort of like saying the alphabet because I memorized the letters but have no idea what they're used for, that they make words, sentences, etc.

    • @harrysmyth4540
      @harrysmyth4540 2 года назад

      This^. I know you made this comment 6 years ago but I'm in exactly the same position now - did you manage to gain some deeper meaning on the subject? If so I would really appreciate it if you could shed some light. Thank you

  • @sigururkristinsson5906
    @sigururkristinsson5906 Месяц назад

    Should've started the intro with "Here is an explanation for Simplex and in the end we'll use an high level calculator to solve it. If you don't have it then you're shit out of luck. "

  • @Veenaali786
    @Veenaali786 9 лет назад

    Nice explanation

  • @hablen
    @hablen 3 года назад +1

    great thanks

  • @scottrelliott
    @scottrelliott  14 лет назад +1

    @bentruong3 Glad I could help!

  • @haweyorashid9419
    @haweyorashid9419 5 лет назад

    I do not know how I can thank you, but thank you sooooooooooooooooooooo much!!!!!!!!!!!!!

  • @marlourentucan9023
    @marlourentucan9023 4 года назад

    so calm ! explained very well ! compared to other tutorials. (specifically those hindu tutorials)

  • @tiagoisaias1468
    @tiagoisaias1468 2 года назад

    Quatro about When 1 of the slack values is negative

  • @queenolive6080
    @queenolive6080 6 лет назад +3

    I still confused

  • @pixeldar5500
    @pixeldar5500 5 лет назад +4

    Left 25 min to r exam...
    Me: watch video on youtube

  • @dijahmasnawi6627
    @dijahmasnawi6627 3 года назад +1

    You are great!

  • @shhhka
    @shhhka 5 лет назад

    What if its greater than or equal to? What then?

  • @Ayonbuddy28
    @Ayonbuddy28 9 лет назад

    Thank you Sir

  • @rajazakirah619
    @rajazakirah619 3 года назад +1

    7 mins to exam. Bless

  • @deboisaac4198
    @deboisaac4198 Год назад

    my question what of if ur smallest ratio is 3.75

  • @cwaprox
    @cwaprox 14 лет назад

    thank you so much!

  • @Wittylee8828
    @Wittylee8828 3 года назад

    U really speak well🥺🥺

  • @kalaiselviask9674
    @kalaiselviask9674 10 лет назад

    thnkz alot for video..... but i dnt understand that row function plz help me to clear it :(

  • @shahrukh631
    @shahrukh631 9 лет назад +3

    Hello ! I have a confusion with this case, how are we gonna select a pivotal row in this. And thanks for this helpful video !
    x1 Most right column Ratio
    2 40 20
    0 4 infinity
    1 100 100

    • @scottrelliott
      @scottrelliott  9 лет назад +2

      shahrukh631
      Start watching around the 4:00 min mark and you should see the answer to your question! Thanks for watching :-)

    • @jaharehardy3561
      @jaharehardy3561 7 лет назад

      your so boring and this is ti

  • @danemikkelson1365
    @danemikkelson1365 6 лет назад +1

    My nigga, you are the real MVP. Come teach at Iowa State

  • @emotionsexpress
    @emotionsexpress 14 лет назад

    thans a lot.
    this is very useeful video .......

  • @terzokid
    @terzokid 13 лет назад

    YOURE AN ANGEL FALLEN DOWN FROM HEAVEN!

  • @ghozlanedrouaz7578
    @ghozlanedrouaz7578 4 года назад

    Thank you teacher

  • @nexttoken6179
    @nexttoken6179 4 года назад +1

    Grazie Ezio Auditore

  • @ssrooben
    @ssrooben 12 лет назад

    Thank you so much (",) this video very helpful for me..

  • @linto15
    @linto15 10 лет назад

    Well said

  • @Tunee10
    @Tunee10 7 лет назад

    Thank you

  • @mindfreak191191
    @mindfreak191191 9 лет назад

    Hi
    Just a quick doubt. While doing the ratio test, Suppose we have the following 3 cases
    CASE 1
    x1 z
    2 40
    -1 5
    1 100
    In this case, the "ratio" is the lowest for 5/-1, ie '5'
    But do we ignore it because x1 is negative? Will we use 40/2 =20 instead?
    CASE 2
    x1 z
    2 50
    5 -100
    Again here, do we consider the ratio to be 25 or "20", do we ignore the 2nd candidate as it iis a -100 resulting in a negative ratio?
    CASE 3
    x1 z
    2 20
    5 50
    Both have a ratio of 10. Can we choose any one or is there some rule here

    • @scottrelliott
      @scottrelliott  9 лет назад +1

      Abhinav,
      We do ignore negative ratios. In the case of a tie, just pick one and go with it. I think there are some algorithms to help in the case of a tie, but it won't hurt to just pick one and pivot.
      Hope this helps!
      Scott

    • @mindfreak191191
      @mindfreak191191 9 лет назад

      Thanks Scott!

  • @defieG
    @defieG Год назад +1

    3 minutes to exam. God bless

  • @MrBobrossftw
    @MrBobrossftw 10 лет назад +2

    My question is when would this ever really be useful? It seems like a more complex way to do a relatively simple problem?

  • @Czarlsen
    @Czarlsen Год назад

    why S1 in the beginning is 1 and 0 and S2 is 0 and 1?