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Optimization Nation
United States
เข้าร่วมเมื่อ 23 มี.ค. 2020
Integer Optimization - Total Dual Integrality
Course: Integer Optimization - ISyE/Math/CS 728
Topic: Total Dual Integrality
Professor: Alberto Del Pia, University of Wisconsin-Madison
Based on Section 4.6 of the book "Integer Programming" by M. Conforti, G. Cornuéjols, and G. Zambelli
Topic: Total Dual Integrality
Professor: Alberto Del Pia, University of Wisconsin-Madison
Based on Section 4.6 of the book "Integer Programming" by M. Conforti, G. Cornuéjols, and G. Zambelli
มุมมอง: 612
วีดีโอ
Integer Optimization - Video 6: Modeling Fixed Charges
มุมมอง 398ปีที่แล้ว
Course: Integer Optimization - ISyE/Math/CS 728 Video 6: Modeling Fixed Charges Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 2.10 of the book "Integer Programming" by M. Conforti, G. Cornuéjols, and G. Zambelli
Integer Optimization - Video 5: The Traveling Salesman Problem
มุมมอง 633ปีที่แล้ว
Course: Integer Optimization - ISyE/Math/CS 728 Video 5: The Traveling Salesman Problem Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 2.7 of the book "Integer Programming" by M. Conforti, G. Cornuéjols, and G. Zambelli
Integer Optimization - Video 4: The Knapsack Problem and Comparing Formulations
มุมมอง 680ปีที่แล้ว
Course: Integer Optimization - ISyE/Math/CS 728 Video 4: The Knapsack Problem and Comparing Formulations Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 2.1 and 2.2 of the book "Integer Programming" by M. Conforti, G. Cornuéjols, and G. Zambelli
Integer Optimization - Video 3: Convex Hulls and Perfect Formulations
มุมมอง 897ปีที่แล้ว
Course: Integer Optimization - ISyE/Math/CS 728 Video 3: Convex Hulls and Perfect Formulations Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 1.4 of the book "Integer Programming" by M. Conforti, G. Cornuéjols, and G. Zambelli
Integer Optimization - Video 2: Methods for Solving Integer Programs
มุมมอง 1.3Kปีที่แล้ว
Course: Integer Optimization - ISyE/Math/CS 728 Video 2: Methods for Solving Integer Programs Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 1.2 of the book "Integer Programming" by M. Conforti, G. Cornuéjols, and G. Zambelli
Integer Optimization - Video 1: Integer Programming
มุมมอง 3.7Kปีที่แล้ว
Course: Integer Optimization - ISyE/Math/CS 728 Video 1: Integer Programming Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 1.1 of the book "Integer Programming" by M. Conforti, G. Cornuéjols, and G. Zambelli
Linear Optimization - Video 34: Problems with exponentially many constraints
มุมมอง 4703 ปีที่แล้ว
Course: Linear Optimization - ISyE/Math/CS/Stat 525 - Fall 2021 Video 34: Problems with exponentially many constraints Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 8.5 of the book "Introduction to Linear Optimization" by D. Bertsimas and J.N. Tsitsiklis
Linear Optimization - Video 33: The ellipsoid method for optimization
มุมมอง 1K3 ปีที่แล้ว
Course: Linear Optimization - ISyE/Math/CS/Stat 525 - Fall 2021 Video 33: The ellipsoid method for optimization Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 8.4 of the book "Introduction to Linear Optimization" by D. Bertsimas and J.N. Tsitsiklis
Linear Optimization - Video 32: The ellipsoid method for the feasibility problem
มุมมอง 7683 ปีที่แล้ว
Course: Linear Optimization - ISyE/Math/CS/Stat 525 - Fall 2021 Video 32: The ellipsoid method for the feasibility problem Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 8.3 of the book "Introduction to Linear Optimization" by D. Bertsimas and J.N. Tsitsiklis
Linear Optimization - Video 31: The key geometric result behind the ellipsoid method
มุมมอง 5833 ปีที่แล้ว
Course: Linear Optimization - ISyE/Math/CS/Stat 525 - Fall 2021 Video 31: The key geometric result behind the ellipsoid method Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 8.2 of the book "Introduction to Linear Optimization" by D. Bertsimas and J.N. Tsitsiklis
Linear Optimization - Video 30: Efficient algorithms and computational complexity
มุมมอง 4353 ปีที่แล้ว
Course: Linear Optimization - ISyE/Math/CS/Stat 525 - Fall 2021 Video 30: Efficient algorithms and computational complexity Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 8.1 of the book "Introduction to Linear Optimization" by D. Bertsimas and J.N. Tsitsiklis
Linear Optimization - Video 29: The network simplex algorithm
มุมมอง 2.3K3 ปีที่แล้ว
Course: Linear Optimization - ISyE/Math/CS/Stat 525 - Fall 2021 Video 29: The network simplex algorithm Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 7.3 of the book "Introduction to Linear Optimization" by D. Bertsimas and J.N. Tsitsiklis
Linear Optimization - Video 28: Formulation of the network flow problem
มุมมอง 1.1K3 ปีที่แล้ว
Course: Linear Optimization - ISyE/Math/CS/Stat 525 - Fall 2021 Video 28: Formulation of the network flow problem Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 7.2 of the book "Introduction to Linear Optimization" by D. Bertsimas and J.N. Tsitsiklis
Linear Optimization - Video 27: Graphs
มุมมอง 7453 ปีที่แล้ว
Course: Linear Optimization - ISyE/Math/CS/Stat 525 - Fall 2021 Video 27: Graphs Professor: Alberto Del Pia, University of Wisconsin-Madison Based on Section 7.1 of the book "Introduction to Linear Optimization" by D. Bertsimas and J.N. Tsitsiklis
Linear Optimization - Video 26: Farkas' lemma and linear inequalities
มุมมอง 1.7K3 ปีที่แล้ว
Linear Optimization - Video 26: Farkas' lemma and linear inequalities
Linear Optimization - Video 25: Standard form problems and the dual simplex method
มุมมอง 1.2K3 ปีที่แล้ว
Linear Optimization - Video 25: Standard form problems and the dual simplex method
Linear Optimization - Video 24: Optimal dual variables as marginal costs
มุมมอง 9433 ปีที่แล้ว
Linear Optimization - Video 24: Optimal dual variables as marginal costs
Linear Optimization - Video 23: The duality theorem
มุมมอง 1.8K3 ปีที่แล้ว
Linear Optimization - Video 23: The duality theorem
Linear Optimization - Video 22: The dual problem
มุมมอง 1.8K3 ปีที่แล้ว
Linear Optimization - Video 22: The dual problem
Linear Optimization - Video 21: Motivation
มุมมอง 1.2K3 ปีที่แล้ว
Linear Optimization - Video 21: Motivation
Linear Optimization - Video 20: Computational efficiency of the simplex method
มุมมอง 6363 ปีที่แล้ว
Linear Optimization - Video 20: Computational efficiency of the simplex method
Linear Optimization - Video 19: Column geometry and the simplex method
มุมมอง 7223 ปีที่แล้ว
Linear Optimization - Video 19: Column geometry and the simplex method
Linear Optimization - Video 18: Finding an initial basic feasible solution
มุมมอง 1.2K3 ปีที่แล้ว
Linear Optimization - Video 18: Finding an initial basic feasible solution
Linear Optimization - Video 17: Anticycling: lexicography and Bland's rule
มุมมอง 3.3K3 ปีที่แล้ว
Linear Optimization - Video 17: Anticycling: lexicography and Bland's rule
Linear Optimization - Video 16: Implementations of the simplex method
มุมมอง 2.1K3 ปีที่แล้ว
Linear Optimization - Video 16: Implementations of the simplex method
Linear Optimization - Video 15: Algorithms and operation counts
มุมมอง 1.2K3 ปีที่แล้ว
Linear Optimization - Video 15: Algorithms and operation counts
Linear Optimization - Video 14: Development of the simplex method
มุมมอง 2.4K3 ปีที่แล้ว
Linear Optimization - Video 14: Development of the simplex method
Linear Optimization - Video 13: Optimality conditions
มุมมอง 2.5K3 ปีที่แล้ว
Linear Optimization - Video 13: Optimality conditions
Linear Optimization - Video 12: Projections of polyhedra: Fourier-Motzkin elimination
มุมมอง 2.2K3 ปีที่แล้ว
Linear Optimization - Video 12: Projections of polyhedra: Fourier-Motzkin elimination
this is actually amazing , THANKS FOR THE EXPLANATION
Nicely explained. Thank you professor.
Underrated asf
Bro left a comment 😭😭🙏
@lorenzoborri3201 Bro of course I did you'd know why if ud be ther today 😭🙏
I can't play this lecture, but all the other videos are playing just fine. There is some issue with it.
Strange. I can see it. You could try to change the "quality" of the video under "settings".
Sir where we can get these slides?
Will non-linear optimisation also be discussed in this course?
No, only linear optimization
helps me a lot when proving extreme point to BFS equivalent
37:00 , why do we assume that they both have the same optimal cost?!
Because of our definition of equivalent problems.
@@albertodelpia293 thank you brother
It indeed is the best lp course I have seen
Can you share the slides?
Slides are on my website!
@@albertodelpia293 thank you, professor!
Thank you! Final in the morning, this is a life saver
What are prerquisite to study linear programming
linear algebra and a certain mathematical maturity
Linear algebra and basic algebra
Beautiful lectures. Thank you Professor.
These videos are soooo helpful, I am watching the entire playlist because our professor is also teaching from the same book. I simply can't thank enough. Thank you so much sir
Some previous lectures seem to be missing🥺
thank you, these lecture videos are extremely helpful and understandable
Sir we have exam tommorrow can you teach us the non linear optimization in 3 hours today.Please respond.We just need to learn linear search methods.
Sir, please, we need your help. Our entire class watches your videos.
Yes Sir, plz use the book Numerical Optimization by Jorde Nocedal and Stephen J. Wright
Most respect for you from Pakistan..❤❤❤❤
One suggestion, change your channel name, its unsearchable, youtube always shows the result for optimus prime
did not understand the equivalence part, very convoluted
Thanks, great lecture.
hands down the best LP playlist on TH-cam with an impeccable xplanation
Thank you!
In which industry is all this used?
Computer Science
why did you write if x is degenerate if we are done, in the proof of b prime?
did you find the answer yet
nice explaination
great explaination
How does branch-and-cut compare with lift-and-project methods like Sherali-Adams, Lovasz-Schrijver or Lasserre?
The explanation was very helpful thank you. I was reading my textbook intro to Linear optimization and was confused on the steps of simplex algorithm. Also do you have any videos on maximum flow problem.
Thank you for update, professor.
thank you!
Thank you so much, professor. Could you please upload the rest videos for this course? Your videos are extremely helpful
Thank you for your kind comment. I would love to, but at the moment I do not have the time to prepare more video lectures. Sorry!
@@albertodelpia293 No worries, professor! I have gone through your linear programming series which is amazing. I'm looking forward to the integer programming series when you have time to make them in the future. 😊
@@shixinliu3303bro can u plz tell me what is the pre requisite to study integer programming
Love the proof sketches!
Hello Professor, how about the earlier chapters of this playlist? It would be very helpful if you could complete this playlist @optimum prime
Very good video.
Hey, professor! Is this the entire course? Are any videos missing in the playlist?
It is a condensed version of the Linear Optimization couse I tought at UW-Madison in Fall 2021. No missing video in the playlist.
Is the first tableau a minimization or maximization problem?
minimization
Great Video
讲得太好了
A couple of mistakes: At 3:01 we should not compute that ratio of x7 (since there is a zero in the pivot column). At 3:20 "x1 and x7 should be x1 and x2".
n10hpo #von.ngo
thank you for the upload
Excellent! Thank you!
Thanks for sharing, do you share your slides as well?
this is so good
There is a mistake in the video around 3:00. Namely, when discussing how to perform the second pivot, the only positive component of the vector u is the second one, corresponding to x_6. So there is no tie, and x_6 should leave the basis.
Thank you for the sharing : D
Please ignore what I say between 23:02 and 23:32. There is no Quiz 0. Assignment 0 tests both your Math skills and Linear Algebra. You do not need to submit it since it will not be graded.
~*500*~
Thank you for the lecture Professor Alberto. Could you indicate some material to help me with your question at 4:19? I can't figure it out on my own. Furthermore, when you say that "things are quite different" for maximization (6:41), where can I learn more about maximization situations?
nice