Operations Research 05A: Sensitivity Analysis & Shadow Price

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  • Опубліковано 29 лис 2024

КОМЕНТАРІ • 161

  • @YongWang
    @YongWang  5 років тому +36

    Hi Guys, please comment and let me know what you think about this Operations Research Open Course. Your feedback is really appreciated. If you enjoy the video, please subscribe and share. All my replies here are only related to the content in my own videos. I am afraid I won't be able to answer other questions. Thanks for your understanding.

    • @robertramos8676
      @robertramos8676 5 років тому +1

      Very good, thanks!

    • @eddymdi4953
      @eddymdi4953 5 років тому +1

      Can you share ppt?
      Thank you, well done Yong !

    • @chickyjong
      @chickyjong 5 років тому +1

      im not enjoying this course not because of the subject but bcs of my lecturers...i really like operations thinggy but my lecturer makes it worse

    • @tuongnguyen9391
      @tuongnguyen9391 5 років тому +1

      This is really good !! The visualization is excellent

    • @Explorer982
      @Explorer982 5 років тому +1

      Very helpful ty

  • @diaryofxandria
    @diaryofxandria 4 роки тому +6

    Thank you so much for this. We have online classes and our professor can't discuss this topic and we have to self study to be able to understand the concepts behind this. I am very much grateful for this video, sir. It is very clear, precise and concise. It is very easy to follow and understand. More power!

  • @فرحةالافندي
    @فرحةالافندي 4 роки тому +1

    شكرا جدا لحضرتك الحمد لله فهمت الجزء الخاص بالمدى
    Before I watched your explanation I couldn't know how we calculate the range but now I understand it from you
    All thanks from Egypt

  • @Montecristo1994
    @Montecristo1994 4 роки тому +4

    One of the best videos on this topic. To the point and very clear explanation, thank you sir.

  • @brentgallagher3603
    @brentgallagher3603 6 років тому +4

    Wow, I've watch every video by you thus far on OR and you are a scientist and an artist!

    • @YongWang
      @YongWang  6 років тому

      Thanks, Brent, for the comments

  • @keremkansu4756
    @keremkansu4756 7 років тому +32

    yong abi saol cok güzel anlatmışsın türkiyeden selamlar öptüm canım

    • @YongWang
      @YongWang  7 років тому +7

      You are welcome, Kerem.

  • @sobiah11
    @sobiah11 7 років тому +31

    That was very useful to understand shadow prices, thank you :D

  • @Zeynep999-o5e
    @Zeynep999-o5e 2 роки тому

    I never comment on study videos, but this was awesome and on point. Thanks!

  • @kigandariham8984
    @kigandariham8984 9 місяців тому

    Love how u make it look easy to understand

  • @shavindipathirana
    @shavindipathirana 6 років тому +6

    Thank you very much. All my problems regarding sensitivity analysis were solved :-)

    • @YongWang
      @YongWang  5 років тому +1

      glad to know it helped, Shavindi

  • @efeerol2805
    @efeerol2805 4 роки тому

    I had difficulty understanding this topic, but the video helped a lot. Thank you.

  • @omertahtali1824
    @omertahtali1824 8 місяців тому

    A very good video, thanks for your effort. I hope that it will help with my exam tomorrow

  • @menzoclop1850
    @menzoclop1850 4 роки тому

    Thank you so much for your explanations. It's much easier to understand the process now (I was lost in class)

  • @jhonjohon5914
    @jhonjohon5914 7 років тому +2

    Thank you for this series. It is really impressive.

    • @YongWang
      @YongWang  7 років тому +1

      Thanks for the comment, jhon

  • @andreabaltazar2596
    @andreabaltazar2596 Рік тому

    amazing video finally I understood shadow and optimal range thanks

  • @KayambuMadhavan
    @KayambuMadhavan 7 років тому +2

    Very nice explanation.Thanks for your effort.

    • @YongWang
      @YongWang  7 років тому

      No problem, Kayambu.

  • @AmanSingh-go1qm
    @AmanSingh-go1qm 4 роки тому

    that was the best explanation, i could get on the subject sir

  • @md.abdullahalrafi6496
    @md.abdullahalrafi6496 Рік тому

    Oh my god!! You made this topic so damn easy!!!!!!!!!!!!!! Thanks, man.

  • @peterleonard.k2265
    @peterleonard.k2265 7 років тому +5

    wow. thanks for the lecture on this topic. am nowb bright enough

    • @YongWang
      @YongWang  7 років тому +1

      Glad you liked it, Peter.

  • @premsanthanam572
    @premsanthanam572 4 роки тому

    Amazing!!!! videos on operations research. You have a great skill of teaching complex subjects

  • @psybeam568
    @psybeam568 4 роки тому +2

    i'll pass the class thanks to you

  • @negincheraghi4921
    @negincheraghi4921 Місяць тому

    Thank you clear explanation. I have a question. How we determine the profit range to change?how about slack and surplus?

  • @suhailali4960
    @suhailali4960 2 роки тому

    Thank you so much for making such a video. You have taught very good!

  • @Alcyeragraeth
    @Alcyeragraeth 5 років тому

    I really appreciate your videos, sir.

  • @Salmamohameddd
    @Salmamohameddd 2 роки тому

    Thank you so much. Very great explanation

  • @miikkafisher8565
    @miikkafisher8565 3 роки тому

    I wish I could like this video twice

  • @quaternion4565
    @quaternion4565 4 роки тому

    Thanks for your videos, the lecture that my prof presents is too abstract and a nightmare to follow with too many proofs. This is much easier to digest with subtitle as well!

  • @ruthiekhersy7634
    @ruthiekhersy7634 5 років тому

    very good explanation. it was very helpful. good job

  • @asutoshsubudhi2448
    @asutoshsubudhi2448 5 років тому

    crisp and crystal clear ...

  • @Ampelman123
    @Ampelman123 3 роки тому

    Damn my professor did a 2h lecture on this leaving everyone fucking confused and here I find a seven minute video where everything is crystal clear...

  • @abdul-muminfusheini859
    @abdul-muminfusheini859 2 роки тому

    Thank you sir. You helped me a lot.

  • @mohamedmagdy6956
    @mohamedmagdy6956 6 років тому +2

    Loved this explaining

    • @YongWang
      @YongWang  6 років тому

      Thanks, Mohamed.

  • @huynhquangloc5590
    @huynhquangloc5590 4 роки тому

    Thank you very much, you're my savior!!

  • @camilaparola2781
    @camilaparola2781 5 років тому +3

    Thank you for sharing!!

  • @d3yadav
    @d3yadav 5 років тому +1

    Very nice explanation

    • @YongWang
      @YongWang  5 років тому

      thanks, dharmender

  • @user-cq5lp3wq5z
    @user-cq5lp3wq5z Рік тому

    useful and easy to understand. thx!

  • @asitpawan1212
    @asitpawan1212 6 років тому +1

    The best explanation! Thanks :)

    • @YongWang
      @YongWang  6 років тому

      You are welcome, Asit

  • @ZenoDiac
    @ZenoDiac 2 роки тому

    Good explanation, thanks

  • @wreno7879
    @wreno7879 7 років тому +1

    Thank u sir, this really save my credits!

  • @pengziyan9180
    @pengziyan9180 2 місяці тому

    best video ever

  • @gladydelacruz6839
    @gladydelacruz6839 7 років тому +2

    Thank you for this! But how would you know the sensitivity ranges for the profit without a given additional value for the max z? Should I just assume? Thank very much!

    • @YongWang
      @YongWang  7 років тому

      Yes, Glady. You can just assume.

    • @AdrianColumbus
      @AdrianColumbus 4 роки тому

      @@YongWang Hi, thanks so much for this video! IT helped me in most part but there are still some uncertainties that I have. At 5:40, for the optimality range, its -1/2 =< -C1/C2 =< -2. May I ask how did you get the value of -1/2 and -2?

  • @aquamanGR
    @aquamanGR 4 роки тому +1

    Hi! Great video - it would be excellent if you could also post the AMPL code to solve the problem.

  • @TheQueenEPK
    @TheQueenEPK 3 роки тому

    Thank you. It was helpful

  • @penjelajahmakna
    @penjelajahmakna 5 років тому

    Thanks Sir. It is a very clear and helpful video :)

  • @caioillaabtibol6132
    @caioillaabtibol6132 2 роки тому

    Great video!

  • @sinyormerih1862
    @sinyormerih1862 6 років тому +1

    Thank you for this video!

    • @YongWang
      @YongWang  6 років тому

      You are welcome, Vivioux

  • @nathanmiller1779
    @nathanmiller1779 4 роки тому

    Fantastic explanation with corresponding graphics. Thanks for your great work!

  • @CHEMISTRY_4_EVERYONE
    @CHEMISTRY_4_EVERYONE 5 років тому

    Can u be a bit clear on the last point that y should -c1/c2 be within both the slope to maintain optimality.

  • @osamahomair2020
    @osamahomair2020 4 роки тому

    well done thanks for your work

  • @chowterry3603
    @chowterry3603 7 років тому +3

    sir, if the number of the coefficient in the objective function is more than two, does the optimal range formula still work?

    • @YongWang
      @YongWang  7 років тому +1

      Great question. The optimal range formula does not work in that case. But the basic concept of sensitivity analysis still applies, i.e., how the changes in the rhs or coefficients affect the optimal solution.

  • @kubranuroksuz7715
    @kubranuroksuz7715 5 років тому

    thanks for your effort. This video is really clear and helpful :))

  • @prathameshmohite3008
    @prathameshmohite3008 4 роки тому

    How will you calculate the shadow price if there are more than 2 variables and conduct sensitivity analysis on the objective function coefficients?

  • @SequinBrain
    @SequinBrain 3 роки тому

    Do you have any videos for LP problems that have 3 or more variables? How do we find the slope for 3 variables?

  • @DikasLittleWorld
    @DikasLittleWorld 5 років тому +1

    it helps me a lot, thankyou!!!!

    • @YongWang
      @YongWang  5 років тому

      you are welcome, Dika

  • @Snowmanver2
    @Snowmanver2 3 роки тому

    good explanation

  • @AnkitVatscheakers
    @AnkitVatscheakers 7 років тому

    Very nice and helpful video. But what if we increase the RHS values of both constraints on the same time?

    • @YongWang
      @YongWang  7 років тому

      Ankit, good question. In that case, you can still calculate the optimal value of the objective function and see how the changes in available resources (which is time in this example) can affect the optimal solution.

    • @AnkitVatscheakers
      @AnkitVatscheakers 7 років тому

      Yong Wang thanks for the reply. But we r already working on maximum capacity and increasing one more unit applies that we r exceeding it. In that case only one constraint can be changed. Is it right?

  • @Mo7amedxd
    @Mo7amedxd 4 роки тому

    Thanks prof but I have a question when u get the slope 0.5≤c1/c2 ≤2 I didn't get it
    How did u get it while c1/c2 in this problem 300/200
    And thanks again ♥️♥️

  • @alidenby2830
    @alidenby2830 5 років тому

    Thank you! Very Helpful

  • @augustogaliza
    @augustogaliza 7 років тому +1

    Very nice! Thank you!

    • @YongWang
      @YongWang  7 років тому +1

      Glad you liked it, Augusto

  • @srishtimaheshwari8708
    @srishtimaheshwari8708 4 роки тому

    how did you find the slope and optimality range? please explain asap

  • @BurziFreestyle
    @BurziFreestyle 2 роки тому

    super clear!!!

  • @RayRay-yt5pe
    @RayRay-yt5pe 2 роки тому

    Thank you! Very much

  • @bluelobster6100
    @bluelobster6100 7 років тому +2

    you are the best

  • @jiteshtokas2229
    @jiteshtokas2229 5 років тому +1

    sir thank you much for this :)

  • @fleecyfeathers5356
    @fleecyfeathers5356 5 років тому

    Thank you very much Sir

  • @shubhamsd100
    @shubhamsd100 2 роки тому

    Thank you so much!!!

  • @njabulomahlalela2912
    @njabulomahlalela2912 2 роки тому

    That was dope!

  • @miazhang5866
    @miazhang5866 5 років тому

    MANY THANKS, SIR!

  • @damiancsj5812
    @damiancsj5812 4 роки тому

    amazing! thank you so much

  • @gokcenafsin5366
    @gokcenafsin5366 7 років тому +2

    you are a legend

    • @YongWang
      @YongWang  7 років тому

      Thanks, Gokcen. I wish.

  • @shakeelansari8657
    @shakeelansari8657 7 років тому +1

    Very nice.

    • @YongWang
      @YongWang  7 років тому

      Thanks, Shakeel.

  • @JingZhi45
    @JingZhi45 5 років тому

    Hi, thanks so much for this video! IT helped me in most part but there are still some uncertainties that I have. At 5:40, for the optimality range, its -1/2 =< -C1/C2 =< -2. May I ask how did you get the value of -1/2 and -2? Sorry if this is a dumb question but I just started learning this, still haven't really gotten the hang of it yet.

    • @JingZhi45
      @JingZhi45 5 років тому

      alright its okay can ignore this, I think I've found out why haha. But still anw, thanks for the vid!

    • @kavishdaya3594
      @kavishdaya3594 2 роки тому

      @@JingZhi45 please tell me how was the values determined im also new to this topic

    • @bryanencalada9574
      @bryanencalada9574 11 місяців тому

      @@kavishdaya3594 those are the slopes of the constraint equations. You can write each in y intercept form (where x2 would be your y value) and you obtain a slope of -1/2 for m2 and -2 for m1 so the objective value line has to lie within those 2 slope boundaries. Ik its a year later but hope this helps lol

  • @foziakhan9791
    @foziakhan9791 7 років тому +1

    very very helpful vidio

    • @YongWang
      @YongWang  5 років тому

      glad you liked it, Fozia

  • @Raison_d-etre
    @Raison_d-etre 5 років тому

    Interesting approach, but it'd have been useful to see the graphical interpretation of the last problem.

  • @NK-lg5ql
    @NK-lg5ql 7 років тому +1

    thank you very much

    • @YongWang
      @YongWang  7 років тому

      You are welcome, N K

  • @Shavinderyt
    @Shavinderyt 7 років тому

    what would we do if we are given the value for c1 (100 for example) and not c2 for the optimal range?

    • @foziakhan9791
      @foziakhan9791 7 років тому +1

      Then we can put value of c2 from 50 to 200 bcz by puting these values the optimum solution remains between two slopes

    • @YongWang
      @YongWang  5 років тому

      @@foziakhan9791 that's right

  • @julmarmisa695
    @julmarmisa695 5 років тому

    How did you get the slopes?

  • @gautampadiyar4558
    @gautampadiyar4558 5 років тому

    Beautiful!

  • @kritikakarthikeyan5832
    @kritikakarthikeyan5832 7 років тому +4

    can you please tell me how you got :-
    -1/2>=-c1/c2>=-2
    as the optimality range?

    • @YashRoy
      @YashRoy 7 років тому +10

      -1/2 is the slope of the first constraint and -2 is the slope of the other constraint. you want your optimum solution to be between these two slopes as they give us the feasible solution area.

    • @YongWang
      @YongWang  7 років тому +4

      Thanks, Yash. You explanation is clear and correct. Thumbs up!

  • @6193bood
    @6193bood 6 років тому +2

    god bless you

  • @chandan5908
    @chandan5908 2 роки тому

    Beautiful.

  • @cvismenu
    @cvismenu 4 роки тому

    Thank you

  • @waleed9083
    @waleed9083 2 роки тому

    What is the shadow price in operation research?

  • @aanlungyee9533
    @aanlungyee9533 4 роки тому

    thanks man! much appreciated

  • @xalamukanibaloyi1500
    @xalamukanibaloyi1500 6 років тому +1

    well explained

    • @YongWang
      @YongWang  5 років тому

      thanks for the comment, Xalamukani (trying to spell your name correctly)

  • @joshuawang8300
    @joshuawang8300 4 роки тому

    Thank you!!

  • @yihui7176
    @yihui7176 6 років тому +1

    thank u for this!

    • @YongWang
      @YongWang  6 років тому

      You are welcome, YH

  • @princebautista
    @princebautista 5 років тому

    How did you get A and ZA on 2:10 ?

  • @mojahedalmalki5124
    @mojahedalmalki5124 6 років тому +1

    thanks very very very very much

    • @YongWang
      @YongWang  5 років тому

      you are very very very very welcome, Mojahed

  • @samihakhan1717
    @samihakhan1717 6 років тому +1

    thank u sir.

    • @YongWang
      @YongWang  5 років тому

      no problem, Samiha

  • @pablolerdodetejada1871
    @pablolerdodetejada1871 6 років тому

    You are a fucking leggend my man I jst learned everything i need for my final in a couple of hours

  • @ahmedobidat1743
    @ahmedobidat1743 7 років тому

    Does anyone know how to get the ranges for the shadow prices? Thanks

    • @YongWang
      @YongWang  7 років тому +1

      Ahmed, The shadow I mentioned in the video is a value, not a range.

  • @meldaercan7072
    @meldaercan7072 3 роки тому

    Isn’t the modelling wrong. I mean why didn’t we eliminate numbers of products like number of product 1 produced at machine 1.

  • @mmabs__
    @mmabs__ 6 років тому +2

    Heeeeeelp please T.T can you tell me where the 4000/3 from?

    • @rohatrobinsarac4803
      @rohatrobinsarac4803 6 років тому +1

      I haven't done the calculations myself, but I am fairly certain that it is the value you get from plugging the optimal solution of x1 and x2 into the function max(z)=300x1+200x2

    • @YongWang
      @YongWang  5 років тому

      @@rohatrobinsarac4803 that's right. it's the optimal z value

  • @armandkana5083
    @armandkana5083 6 років тому

    can you add a video about reduced price ?

    • @YongWang
      @YongWang  5 років тому

      basically, you just follow the same procedure for reduced price and resources

  • @MohamedAhmed-vy9ow
    @MohamedAhmed-vy9ow 5 років тому

    perfeeeeeeeect

  • @amrhosni7175
    @amrhosni7175 Рік тому

    my academic professor would say less than that in 1 hr that's way too unfeasible for me. thanks

  • @mahmoudsayedtawfic8854
    @mahmoudsayedtawfic8854 4 роки тому

    the slope should be C2/C1

  • @ruthnicolepamorada1355
    @ruthnicolepamorada1355 2 роки тому

    5:08

  • @ihsan3700
    @ihsan3700 5 років тому

    başlık neden türkçe?