MOOC

Optimization: principles and algorithms - Network and discrete optimization

Description

Introduction to the mathematical concept of networks, and to two important optimization problems on networks: the transshipment problem and the shortest path problem. Short introduction to the modeling power of discrete optimization, with reference to classical problems. Introduction to the branch and bound algorithm, and the concept of cuts.

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Lectures in this MOOC (85)
Formulation, Problem TransformationsMOOC: Optimization: principles and algorithms - Linear optimization
Explores transforming optimization problems to meet algorithm requirements and make them equivalent.
Formulation, Problem DefinitionMOOC: Optimization: principles and algorithms - Linear optimization
Covers the formulation and problem definition in optimization, focusing on defining the objective function, constraints, and feasible set.
Formulation, Properties: Infimum vs OptimumMOOC: Optimization: principles and algorithms - Linear optimization
Explains the difference between infimum and optimum in optimization problems and how to find the optimal solution.
Objective function, ConvexityMOOC: Optimization: principles and algorithms - Linear optimization
Explains the concept of convexity in optimization and its importance in finding global optima.
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Related concepts (117)
Algorithm
In mathematics and computer science, an algorithm (ˈælɡərɪðəm) is a finite sequence of rigorous instructions, typically used to solve a class of specific problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can use conditionals to divert the code execution through various routes (referred to as automated decision-making) and deduce valid inferences (referred to as automated reasoning), achieving automation eventually.
Pedestrian crossing
A pedestrian crossing (or crosswalk in American English) is a place designated for pedestrians to cross a road, street or avenue. The term "pedestrian crossing" is also used in the Vienna and Geneva Conventions, both of which pertain to road signs and road traffic. Marked pedestrian crossings are often found at intersections, but may also be at other points on busy roads that would otherwise be too unsafe to cross without assistance due to vehicle numbers, speed or road widths.
Train station
A train station, railway station, railroad station, or railway depot is a railway facility where trains stop to load or unload passengers, freight, or both. It generally consists of at least one platform, one track, and a station building providing such ancillary services as ticket sales, waiting rooms, and baggage/freight service. If a station is on a single-track line, it often has a passing loop to facilitate traffic movements.
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