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2021-10-25: Facility location, mixed integer representability

Videos and all other materials are copyright 2021 Matthias Köppe and shared as Open Educational Resources subject to the Creative Commons Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)…

From  Matthias Koeppe 0 likes 9 plays 0  

Week 1 Problem Set ARE100A

Week 1 Problem Set ARE100A Spring Quarter 2021 Covers Questions: 3, 6, 7, 8, and 9

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ECS 289A Lecture 9a

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ECS 220 6a:7.1 axiomatic foundation of mathematics

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ECS 220 2c:5.3-2 NAE-SAT reduces to 3-Coloring

From  David Doty 0 likes 40 plays 0  

ECS 220 2a:4.2-3 Integer-Partitioning and Subset-Sum

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ECS 220 2a:4.2-1 3-Coloring reduces to CNF-SAT

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ECS 220 1c:4.2-3 CNF-SAT

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ARE/ECN 115A: Agriculture (2)

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mat168-modeling9.mp4

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2020-12-09-b: Convex piecewise linear modeling (MAT 168 Optimization)

Modeling convex piecewise linear functions in a data science application (ℓ1 regression). notes-2020-12-09-b.pdf Videos and all other materials are copyright 2020 Matthias Köppe and shared as…

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2020-12-02: Facility location, Chvatal-Gomory cuts (MAT 168 Optimization)

Review: mixed 0/1 modeling. Facility location: Aggregated vs. disaggregated formulation. Strengthening the no-good formulation of logical AND using a Chvátal–Gomory cut. General…

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2020-11-23: Cutting plane algorithms (MAT 168 Optimization)

Separation of constraints within a cutting-plane algorithm for solving an LP with exponentially many constraints. Warm starts: Adding a valid inequality to a dictionary by rewriting it in the…

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2020-11-20: TSP formulations: strength, relaxations (MAT 168 Optimization)

Traveling salesperson problem: Separation of the subtour elimination constraints as a combinatorial optimization problem. TSP formulation using cutset constraints, strengthened cutset constraints,…

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2020-11-18: Traveling salesperson problem (TSP)

Back to modeling: The (symmetric, metric) traveling salesperson problem (TSP) in the natural IP formulation. Subtour elimination constraints. Modeling with exponentially many constraints. Constraint…

From  Matthias Koeppe 0 likes 24 plays 0  

2020-11-02: Transportation, min-cost flow problems (MAT 168 Optimization)

Structure of the node-arc incidence matrix, rank deficiency. Generalizing the classic transportation problem to transportation problems with transshipment nodes, and to general (single commodity)…

From  Matthias Koeppe 0 likes 30 plays 0