Linear Programming, Lecture 1. Introduction, simple models, graphic solution

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  • Опубликовано: 2 окт 2024
  • Lecture starts at 8:50.
    Aug 23, 2016. Penn State University.

Комментарии • 288

  • @abdullahjan8226
    @abdullahjan8226 5 лет назад +88

    those students are not responding to her correctly, her style of teaching is very awosome.
    we appreciate her coz our lecturar only givs us pdf .we know the worth of her lecture
    .

  • @pine2king
    @pine2king 6 лет назад +199

    My right ear sends many thanks

    • @wenshenpsu
      @wenshenpsu  6 лет назад +64

      Haha, cheers! Switch the earbuds to get balance.

    • @chetankumarnaik9293
      @chetankumarnaik9293 5 лет назад +3

      My left ear. LoL

    • @laracrystal9701
      @laracrystal9701 5 лет назад +5

      OMG! I thought my very new earpiece was faulty already!

    • @abhishrutimandal52
      @abhishrutimandal52 5 лет назад +2

      oh god i became worrried.. my new ear buds got defective

    • @fahimp3
      @fahimp3 5 лет назад +7

      I recommend getting the TheBeat Graphical Audio EQualizer for Chrome. After that press the MONO button in the bottom left to fix the sound. Enjoy.

  • @homenova7464
    @homenova7464 5 лет назад +2

    I followed your videos with a lot of interest and pleasure. I think they are some of the best on RUclips. They are with a simple and very convincing didactic. I'm a professor and I teach linear programming too.
    It's my first comment on RUclips so thank you very much for sharing.

  • @alawi0juventus
    @alawi0juventus 5 лет назад +46

    such a great teacher. please do more courses online, I will follow them even if they are beyond my scope of interest.
    thank you so much

  • @themorellonomicon2757
    @themorellonomicon2757 4 года назад +22

    Easy to follow, clear handwriting, complete explanations with context, online, considerate towards diets/philosophies/politics, and a calm voice to keep you engaged for longer without even realising it. Thank you so much for the lecture, this is great stuff.

  • @ayaelbarazi7818
    @ayaelbarazi7818 Год назад +3

    Thank you for the course, for those who are curious about the book it's called "An Introduction to Linear Programming and Game Theory" by Paul R. Thie, Gerard E. Keough published in 2008

  • @roberrplatt4214
    @roberrplatt4214 4 года назад +7

    The kids don't appreciate the opportunity. If I could do my undergrad over again I'd be appreciative and ask questions every 2 minutes. I'd probably be a pest. Appreciate your education, you only get one shot.

  • @OrangeBusketeer
    @OrangeBusketeer 6 лет назад +3

    As a university online student doing business design and analysis subject which essentially is introduction to LP, I've used your lectures in lieu of my own university. You articulate very well!! From Australia.

    • @wenshenpsu
      @wenshenpsu  6 лет назад +3

      Thanks. I am happy that these videos are helpful for you.

  • @g-abeshawel9603
    @g-abeshawel9603 5 лет назад +2

    you are actually the best teacher and your approach is realy excellent to all

  • @ninasky6767
    @ninasky6767 4 года назад +17

    thank you, ma'am, I'm here in 2020. honestly, you did justice to this course. I am no longer afraid of taking my exams on Monday. you just simplified OR for me.. I am grateful.

  • @michaelcao9483
    @michaelcao9483 5 лет назад +1

    you students are so lucky to have her as your teacher

  • @GibranMakyanie
    @GibranMakyanie 5 лет назад +2

    WOW, I am really impressed. Thank you for putting this video online. I wish you were my linear programming teacher.....
    I rarely post comments, but once again. Thank you!

  • @isurusenevirathne
    @isurusenevirathne 3 года назад +2

    We have not lecturers like you, I can understand what you explain. A follower from Sri Lanka

  • @Martb189
    @Martb189 5 лет назад +13

    Thanks for this professor!
    May I know where can I get the resource materials you used for this lecture? If possible, do you happen to have a soft copy of these? Thanks!

  • @mohammad-karbalaee
    @mohammad-karbalaee 10 месяцев назад

    That's a high-quality course. Thanks for sharing it to the public for free.

  • @marielhm7432
    @marielhm7432 7 лет назад +56

    She is so sweet

    • @wenshenpsu
      @wenshenpsu  7 лет назад +7

      Thanks for your kind comment.

    • @BS-wk2pp
      @BS-wk2pp 3 года назад +3

      Spoiler: By watching this, she became your teacher :)

    • @collinsnigeria3426
      @collinsnigeria3426 3 года назад

      She's so sweet I want her to be my lecture.. I'II drop my email so we'll able to keep in touch or I could also drop my WhatsApp number so I could get a proper lecturing.

  • @sistersforlife9215
    @sistersforlife9215 3 года назад

    15mins. timestamp. loved this lady and her teaching skills!

  • @mazensy3476
    @mazensy3476 6 лет назад +4

    You're a brilliant teacher , thanks for such a perfect lesson it's very helpful

  • @shazzadhasan4067
    @shazzadhasan4067 7 лет назад +18

    Thanks a lot.I am going to watch all lectures.

    • @wenshenpsu
      @wenshenpsu  7 лет назад +5

      Thanks. Enjoy the videos.

  • @haveanicetime
    @haveanicetime 6 лет назад

    Vielen Dank! I am a CFD engineer and I am learning now how to write numerical codes, your lecture is great :) ...Merci Beaucoup!

  • @tymothylim6550
    @tymothylim6550 3 года назад +1

    Thank you very much for this lecture video! This is a very clear explanation of Linear Programming to me, and I also learnt quite a bit on how to explain this to other people :)

  • @alexanderyau6347
    @alexanderyau6347 4 года назад +1

    Your teaching style is good for me to follow, hope I can learn a lot in the following videos.

  • @anshushilpi
    @anshushilpi 6 лет назад +8

    Very patient teacher and a very well prepared one, with a very beautiful handwriting. I loved this lecture and I and going to follow your lectures regularly. Regards.

    • @wenshenpsu
      @wenshenpsu  6 лет назад

      Thanks for your kind comments.

  • @gutzimmumdo4910
    @gutzimmumdo4910 Год назад

    what a lovely teacher, well ordered explanation and so easy to follow.

  • @User-uj7nz
    @User-uj7nz 4 года назад +5

    Thank you for uploading your lectures for free, professor. A lot of working class people really rely on this kind of open source education. Probably more than they realize. Also, I'm sorry you are allergic to so much good food.

  • @senthilcaesar
    @senthilcaesar 6 лет назад +8

    Precise and clear Explanation . Easy to understand

  • @haifa6004
    @haifa6004 4 года назад

    a big respect and thanks for these tutorials while am searching good ones about LP for my little sister.

  • @Sam-yr9gf
    @Sam-yr9gf Год назад +1

    for any one annoyed about the audio being on one side (on windows laptop) you can go into settings, ease of access, audio, turn on mono audio, then the audio will be in both ears, turn it off after

  • @endashawfindmail1041
    @endashawfindmail1041 5 лет назад +6

    Professor! i really like your method of teaching. keep up the good work.

  • @imeldamajadillas687
    @imeldamajadillas687 4 года назад

    Awesome step by step process.. love it, Tacloban, Leyte, Philippines

  • @hdiegoel
    @hdiegoel 6 лет назад +4

    Thank you very much for your lecture. I had no idea about linear programming and I need it for my PhD project and now I've learned a lot thanks to you. You explain very clear each detail and take the time to do all the necessary steps to understand the method. It's shame your students were not that enthusiastic at that moment. Thanks again!

    • @wenshenpsu
      @wenshenpsu  6 лет назад +1

      Thanks for watching and your kind comments.

  • @stephaniesilva8615
    @stephaniesilva8615 5 лет назад +4

    Thank you, thank you, thank you! I should be paying her for my class!

  • @nilox94
    @nilox94 4 года назад +4

    Hi, you are such a great teacher.
    Your lectures had helped me a lot to understand LPPs and their solutions.

  • @melleniumster
    @melleniumster 7 лет назад +8

    Dear Professor,
    I am very grateful to you for the lectures. It is a great help.

  • @Irods2357
    @Irods2357 8 лет назад +76

    starts at 8:50

  • @lizhu8548
    @lizhu8548 5 лет назад +4

    It's been almost 3 years now, thank you for uploading and keeping these LP videos on utube. I'm currently taking LP class at UBC (Canada) and we're using a different and slightly simpler method to solve LPs...however, they way my prof. delivers the fundamental concepts are very vague. There are still a lot of confusions in my class as to why...things are...where did the equations come from etc...and since I'll be taking Machine Learning later on, I'm glad that I found your lecture videos, very clear explanation. And many other Canadian universities also use canonical form....and I hate to collaborate with teams and says...use Anstee's rule....lol I guess everyone will be confused since this rule is....UBC exclusive.

  • @daniellopezhernandez3069
    @daniellopezhernandez3069 3 года назад

    Thank you so much teacher!! you probably never imagined that you will help a random guy like me in 2021 xD! Thank you so much!! I really appreciate it!! I would have loved to have you as a teacher, thank you thank you so much x 3000 !!!!

  • @Afrostudio1
    @Afrostudio1 Год назад +1

    Great lecture Prof. Thank you for such an amazing lecture. Could please write in the comment the "Title of the reference book"?

  • @MahmoudOuf
    @MahmoudOuf 5 лет назад +2

    Thanks, Great lectures !

  • @mohammadsamirkashifi2581
    @mohammadsamirkashifi2581 5 лет назад

    it is such an awesome lecture, I just need it to thank u very much madam god bless u with your family

  • @RaviRahulKumarShah
    @RaviRahulKumarShah 5 лет назад +3

    Why didn't youtube showed me this playlist before two months, I could have learned a lot with these videos, it is so nicely explained !!! Thank you Professor

  • @divyansharora6788
    @divyansharora6788 Год назад +1

    Can you please share the homework as well? It would be extrmely helpful, thanks a lot for the brilliant course!

  • @vbgrtr9563
    @vbgrtr9563 4 года назад +1

    She explained well, but I am sure I am not the only one who got lost on drawing the cost function....how did she arrive at 58? Someone help out.

  • @123amouri
    @123amouri 5 лет назад +4

    Those parallell lines are killing me! They're so perfect

  • @MahmoudOuf
    @MahmoudOuf 5 лет назад +1

    Thanks, Great lectures !

  • @adimichaeladi2418
    @adimichaeladi2418 5 лет назад +8

    Hello Professor, you really made linear programming easier. Thank you very much.

  • @leosheng9311
    @leosheng9311 7 лет назад +2

    Great teacher and wonderful lecture! thank you so much~~~

  • @sebon11
    @sebon11 6 лет назад +1

    It was helpful and clear. Many many thank you for uploading this video for us.
    Though I have a question about the lecture.
    In the second lecture this is solved - you took care of slope of the lines. But here I can't see it, that's why I ask.
    How do you know that those lines (the boundary of feasible region, and the line of minimum cost function) has this shape as you've drawn? I'm talking about the plot you have plotted in 59:00 minute. Exactly about slope of the lines.
    In the linear function f(x)=ax+b, a tells about the slope of the plot function, b how it goes up and down.
    So - AS I GET (maybe here I am wrong) - you didn't check on slope of cost function and the boundary of feasible region, before graphing them.
    So how do you know, that actually this two lines aren't actually "reversed"? I mean the cost has boundary shape and the boundary has cost shape.
    How do you know that boundary is more parallel to the x (here A) axis, not the other way?
    This is important, because then, the answer would be 175 on A (Apple) axis, not the 58.3 on B (Bananas :)).
    So you've plotted lines without particular chiecking their slope, and then read it like it was accurate... that's why I have my anxiety.
    Uhh, sorry for asking this so trivial-stupid and not proffesional way, but I had to ask it clearly...
    I really hope for your answer.
    Again thanks for upload!

    • @sebon11
      @sebon11 6 лет назад

      Heh, I got also one more question... at minute 1:04:51. Cost function is z=8A+10B. You say: if A is constant, this is a linear function of B.
      To this we can apply that classic linear function model y=ax+b. Then if A is constant, it becomes kind of y=10x+constant (B becomes x to this model and z becomes y).
      You say of course also if B is constant, z is linear function of A. Then it goes y=8A+constant.
      And my question is... what if both A and B aren't constant? If they are just A and B - variables (not constants)? Then this function is set of parallel lines? Exactly a set of control lines, that you draw at 57:38?
      Actually i guess all you have to say is just "Yes", haha because i think that's the way. It just lacked for me that words at 1:04:51 what happenes if none of them is constant.
      I just can't visualise how function behave with two variables, and when one variable changes how it goes with second variable and with plot. (this is lack of teaching me function of two variables on calculus, I hadn't it in my course).

  • @mecboiscar-l1929
    @mecboiscar-l1929 5 лет назад

    Best lecture. much clear and understandable...

  • @อนรรฆวรรณภาสชัยยง

    its interesting how different it feels when reading from book vs watching video.

  • @fangzhang7434
    @fangzhang7434 6 лет назад +2

    I watched the full video and it really helps me to understand how I maximum or minimum value by implementing graphic solution. Thank you professor!

    • @wenshenpsu
      @wenshenpsu  6 лет назад

      You are welcome. Thanks for watching.

  • @gulnursonmez9539
    @gulnursonmez9539 3 года назад +1

    70/0,4=175 not 135

  • @lindata3554
    @lindata3554 7 лет назад +2

    Thanks a lot for sharing your lectures, dear professor! I find them very well explained and structured. It helps me a lot to learn numerical computation. Now I am gonna watch more of your lectures. Big thanks and Best wishes to you!

  • @s3attmilo
    @s3attmilo 5 лет назад +1

    not sure how I should feel... I go to Rutgers but learning from Penn State. Thanks for making this more clear!

  • @whozz
    @whozz 3 года назад +1

    [Audio fix] If you're on a Windows computer, go to Settings --> Ease of Access --> Audio, and then switch on the toggle under Turn on mono audio. Don't forget to disable it later!

  • @zulfiqarmuhammad4392
    @zulfiqarmuhammad4392 4 года назад

    you are great really and a very kind person

  • @gib1262
    @gib1262 6 лет назад +2

    Dear professor,
    I’m confused, why the corner point is a minimum cost?
    Thank you

    • @vbgrtr9563
      @vbgrtr9563 4 года назад +1

      I am lost at that point too

  • @repentlessss
    @repentlessss 3 года назад +1

    Watched almost 30 minutes of this before I realized that this video wasn’t gonna help me lol. My homework problem only had 2 variables. This class seems to be much more advanced than mine.

    • @mariedjessy1411
      @mariedjessy1411 3 года назад +1

      You should have continued....

    • @repentlessss
      @repentlessss 3 года назад

      @@mariedjessy1411 it would have been interesting to see more of it but I guess I decided not to since I didn’t need to know all that extra info for my class :(

  • @prashantsingh1096
    @prashantsingh1096 5 лет назад +2

    You are very sweet Professor .

  • @alemvincent5022
    @alemvincent5022 6 лет назад

    I am learning what i missed in High school
    thanks alot

  • @mahidmanalocon8867
    @mahidmanalocon8867 8 месяцев назад

    First time watching your video and I absolutely loved it, thank you for uploading your lecture online.

  • @jespertroelsgaard4757
    @jespertroelsgaard4757 4 года назад +1

    Life-saving lectures. Very well explained. Thank you very much. The series ends with lecture 27 - do you have the remaining lectures available also? Assuming some network-flow also comes?

  • @hallowstar4857
    @hallowstar4857 3 года назад

    The nicest handwriting! Worst cameraman... people need all the board, otherwise one would erase the board

  • @sofiaasmi8923
    @sofiaasmi8923 5 лет назад +1

    omg I felt sorry for the students not answering your questions... Great lecture thanks!

  • @laminar1486
    @laminar1486 Год назад

    I love operation research because of you, please take it my appreciation and thank you

  • @yokanatayebwa1968
    @yokanatayebwa1968 5 месяцев назад

    I'm from Uganda and allow me to say that I am so happy and appreciative

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    G Du ND no médico amanhã vou ter um beijo no rosto e o almoço está pronto para o cafezinho é o almoço está falando sério e amanhã vou lá no médico amanhã vou ter fé no médico amanhã às três dias para nós estamos aqui terça feira e

  • @dilshan9850
    @dilshan9850 3 года назад +1

    Great teacher with crystal clear explanation. Thank u, mam

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    Ch SP e amanhã às noite vou dormir um pouco para você também bjs fica tranquilo então obrigada por favor se fala comigo então

  • @kanchapagimhara584
    @kanchapagimhara584 5 лет назад +1

    very patient ,clear English and good in teaching , Thank you

  • @venkatrajnagarajan2672
    @venkatrajnagarajan2672 Месяц назад

    can we get the handouts pdf versions from somewhere?

  • @majorykalaba7109
    @majorykalaba7109 2 года назад

    Thank u am able to understand.....well explained.

  • @ФункцияГрина
    @ФункцияГрина 2 года назад

    First step for planned economy starst here, good course.

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    F da vida e amanhã vou ter um compromisso no médico amanhã vou ter fé no médico amanhã às noite vou dormir aqui no médico amanhã às noite toda vez no médico

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    C BB GG e o cafezinho tava precisando muito muito sucesso sempre vcs estão no médico e w se encontra lá ER no médico amanhã t um tempo atrás de

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    F da casa da tia Maria e amanhã às noite toda vez no médico e w se encontra lá no médico amanhã vou lá pegar ET o almoço está falando comigo e o almoço está falando sério e amanhã vou

  • @leutsoamoteka5657
    @leutsoamoteka5657 5 лет назад +2

    When she says fancy word 😅

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    CV para todos os dias de um beijo no coração de novo né amor e amanhã às noite toda e amanhã às três dias quando chegar lá buscar no médico amanhã vou

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    F da vida e o cafezinho tava no médico e amanhã às três horas vou chegar lá no médico e amanhã às três dias para nós vamos ter fé no e amanhã às noite

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    Ch SP e amanhã às noite vou dormir aqui no escritório e amanhã às noite vou dormir t um tempo atrás de mim ir embora amanhã vou lá pegar um pedido para todos nós estamos

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    G Du ei vou conseguir ir no restaurante da casa e o cafezinho da manhã e amanhã vou ter fé e o almoço amanhã às três horas da manhã e amanhã vou lá no médico

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    F e o almoço está falando todo o almoço amanhã às noite toda vez no médico amanhã às noite toda hora e amanhã às três dias quando estiver chegando no médico amanhã às três horas da tarde

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    X brasil ao vivo no médico e w se fala comigo e o cafezinho da manhã vou lá pegar um pedido para todos os dias de novo está as crianças estão muito felizes e o cafezinho da manhã

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    G Du ei ele ir no médico amanhã às três horas vou chegar lá no médico amanhã às noite vou dormir um pouco então vou te mandar o cafezinho da e o

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    T amo tanto amor e amanhã vou lá pegar um pedido de um pedido de novo né amiga da uma pergunta se ela amanhã e amanhã vou ter fé no médico amanhã vou lá pegar ET o cafezinho tava precisando muito

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    Du si for lá buscar no médico e w se encontra no centro da cidade mesmo e o almoço está pronto vou conseguir ir no médico e w se encontra lá ER hoje e o cafezinho

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    D ER hoje e amanhã vou ter um compromisso no centro da casa de um amigo da vida da casa e amanhã às três dias quando estiver pronto vou conseguir ir e amanhã vou é o

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    Fala ai sim hein se cuida e o cafezinho tava precisando muito difícil né mas vou ficar aqui até às três horas vou chegar um pouco

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    F da casa da tia Maria e amanhã às noite toda vez por favor se fala alguma coisa e o almoço está pronto vou conseguir dormir um pouquinho melhor agora da escola da vida da casa e o almoço está

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    R o almoço amanhã às três horas vou chegar um pouco então vou te mandar e amanhã vou ter um beijo e o cafezinho da tarde vou ai

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    T amo tanto o almoço está falando comigo e amanhã vou ter fé no médico amanhã vou ter um compromisso no centro de um pedido de novo está falando comigo

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    CR é o cafezinho da manhã vou lá no médico e w se fala comigo no centro de um beijo no t e amanhã vou lá pegar

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    Casa e amanhã vou ter um beijo no rosto e amanhã vou lá no centro da cidade mesmo e o almoço está falando comigo e o almoço está falando comigo

  • @ahsanvohra401
    @ahsanvohra401 3 года назад

    Please can i have book name along with author thanks

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    D ER hoje né se encontra lá ER hoje e amanhã às noite toda vez por favor te amo muito é o cafezinho da tarde vou ai Sim hein

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    F da vida e amanhã às noite vou dormir um pouco então vou te mandar e amanhã às três dias quando chegar lá

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    F da vida e o cafezinho tava precisando muito muito de novo né amiga da uma pergunta se ele for no centro de novo está as crianças estão muito

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    T amo muito vcs estão no médico e amanhã às noite toda vez por causa de um beijo no rosto e amanhã vou lá pegar um pedido para todos

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    Xv f da vida e amanhã vou ter um beijo e o e o almoço amanhã às noite vou dormir um pouco então vou te buscar w se fala comigo no centro de um beijo no rosto

  • @marciamarquene5753
    @marciamarquene5753 Год назад

    F da casa da empresa agora e é o cafezinho é r da casa da empresa e amanhã às é só no é o cafezinho da manhã vou levar