Intro of Mathematical Programming
Intro of Mathematical Programming
Embedded Files
Introductory Tutorial for Mathematical Programming- NTHU.pdfChannel: Institute for Operations Research and the Management Sciences https://www.youtube.com/@INFORMSonline
Channel: Institute for Operations Research and the Management Sciences https://www.youtube.com/@INFORMSonline
Topic 1: Modeling
Lecture1.pdfFormulating a Linear Programming Model
Formulating a Linear Programming Model
Test your skills lecture 2.pdfTest your skills - lecture 2
Test your skills - lecture 2
Lecture2.pdfWriting the Optimization model according to Problem Descriptions
Writing the Optimization model according to Problem Descriptions
Supplemental: Convex functions
Supplemental: Convex functions
Supplemental: piecewise linear convex functions
Supplemental: piecewise linear convex functions
U of Wisconsin-Madison: piecewise linear convex functions
Supplemental: Absolute values in the objective and constraints
Supplemental: Absolute values in the objective and constraints
Cornell: Optimization with absolute values
Lecture3.pdfModels with the Use of Integer Variables
Models with the Use of Integer Variables
(Due to many holidays this semester, We unfortunately will not cover this slides for this semester. It will not be included in the exam either)
Lecture4.pdfSupplemental: The Art of Modeling
Supplemental: The Art of Modeling
Lecture5.pdfSupplemental: Other Classes of Problems: Stochastic, Conic, etc.
Supplemental: Other Classes of Problems: Stochastic, Conic, etc.
Topic 2: Polyhedron Theory
Lecture6.pdfGeometry of Linear Constraints
Geometry of Linear Constraints
Lecture7.pdfPolyhedron theory
Polyhedron theory
Lecture8 - 2023修正版.pdfRepresentation of Polyhedron
Representation of Polyhedron
Linear_Programming_worksheet_Oct08 (2).pdfKey concepts of the slides of "Polyhedron Theory" and "Representation of Polyhedron"
Key concepts of the slides of "Polyhedron Theory" and "Representation of Polyhedron"
Appendix-Linear Programming.pdfAppendix
Appendix
Tips for Exam 1.pdfTips for Exam 1
Tips for Exam 1
Topic 3: Simplex Theory
Lecture9.pdfSimplex Method For Standard Form LP
Simplex Method For Standard Form LP
Linear_Programming_worksheet_Oct15 (3).pdfLecture10.pdfSimplex Method for Non-Standard Form LP
Simplex Method for Non-Standard Form LP
Test your skills lecture 10.pdfTest your skills - lecture 10
Test your skills - lecture 10
Lecture note about doing proofs.pdfLecture note about doing proofs
Lecture note about doing proofs
Topic 4: Duality Theory
Lecture11.pdfDuality theory
Duality theory
Lecture12.pdfAlternative theorem
Alternative theorem
Lecture13 (2024新版).pdfInterpretation of duals
Interpretation of duals
Lecture15.pdfKarush-Kuhn-Tucker Conditions
Karush-Kuhn-Tucker Conditions
Topic 5: Sensitivity
Lecture16 (1).pdfSensitivity
Sensitivity
Lecture17 (1).pdfParametric Problem
Parametric Problem
Lecture18.pdfMethods Performing Sensitivity Analysis in Optimization Problem
Methods Performing Sensitivity Analysis in Optimization Problem
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