Operations Research 05C: Weak Duality & Strong Duality 

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.

Correction: At 7:00, I forgot to add the inverse "-1" for the matrix B [1 1 8; 0 1.5 4; 0 0.5 2] at the bottom left corner

Just a random guy who wants to tell you that I thought my operation research was done but with your help I got an A in the end and what's more important, I do understand these theories. I cannot thank you enough.

Yong Wang, you are an outstanding teacher! I keep having one aha moment after another. Thank you so much!

The graphical explanation is outstanding. Thank you so much!

Thank you sir ..! It is very useful for me And you forgot to write inverse but you have written in your comments Thank you ...! Have a great day ...!

Are you solve last example by big-M method?? Because you add artificial variables a2 and a3??

Well done! Thank you!

Harika!! Thank you!

Superb quality

Hi Professor Wang, could you please explain what is the M in the strong duality part? (where you said that when the constraint is = in primal, ui=coeff of si in R0-M)

Thank you sir

Very helpful. Thank you!

I have a question: How are ai,j and aj,i different from one another? I watched the Dual and Primal video and understand how to derive dual from the primal but don't understand this expression in the standard form. Thank you in advance!

What if the Primal is written in min and the dual therefore in max. Does this make the weak theorem different? Should it say c^Tx>b^Tv?

loved it !! Thanks

how can you find the optimal solution for the dual with three variables? can i compute it with graphical solution?

Thank you sir!!

What’s the meaning of e2 in the title of the column?

there is an error in minute 7:00 in matrix multiplication the result is incorrect and i think you choose matrix B by mistake ! we should choose matrix from the primal optimal table but for the initial basic variable which we start by in the initial table

One question: Are the weak and the strong duality theorems valid only for linear problems?

Wang gang !

i love you :)))