Intro of Mathematical Programming
Intro of Mathematical Programming
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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
Lecture4.pdfThe Art of Modeling
The Art of Modeling
Lecture5.pdfOther Classes of Problems: Stochastic, Conic, etc.
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
Topic 3: Simplex Theory
Lecture9.pdfSimplex Method For Standard Form LP
Simplex Method For Standard Form LP
Lecture10.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
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
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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