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The aim of this course is to describe the comprehensive introduction to the theory and algorithms. This course also covers applications of integer optimization and is organized in four parts: formulations and relaxations, algebra and geometry of integer optimization, algorithms for integer optimization, and extensions of integer optimization. If you are interested about Integer Programming and Combinatorial Optimization, then this is the right one.


This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer need to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.


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Course Credit: MIT

Course Curriculum

Module 01
Formulations 00:14:00
Complexity 00:14:00
Methods to enhance formulations I 00:14:00
Methods to enhance formulations II 00:13:00
Ideal formulations I 00:14:00
Ideal formulations II 00:13:00
Ideal formulations III 00:15:00
Duality theory I 00:14:00
Duality theory II 00:13:00
Algorithms for solving relaxations 00:12:00
Robust discrete optimization 00:13:00
Lattices I 00:14:00
Lattices II 00:16:00
Module 02
Algebraic geometry I 00:14:00
Algebraic geometry II 00:12:00
Geometry007 00:12:00
Cutting plane methods I 00:14:00
Cutting plane methods II 00:13:00
Enumerative methods 00:15:00
Heuristic methods 00:13:00
Approximation algorithsm I 00:13:00
Approximation algorithms II 00:15:00
Approximation algorithms III 00:12:00
Mixed integer optimization I 00:15:00
Mixed integer optimization II 00:14:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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