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44:54 2021-10-25: Facility location, mixed integer… 2021-10-25: Facility location, mixed integer representability	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)… facility union convex variables customers bins symmetry things inequality hull polyhedra constraint i. integer formulation polyhedron inequalities customer k. variable From Matthias Koeppe 0 likes 8 plays 0
50:51 Week 1 Problem Set ARE100A Week 1 Problem Set ARE100A	Week 1 Problem Set ARE100A Week 1 Problem Set ARE100A Spring Quarter 2021 Covers Questions: 3, 6, 7, 8, and 9 demand expenditure elasticity function question times income minus respect apples change p. derivative percentage increase constraint x. quantity expression milk From Joseph Raymond 0 likes 159 plays 0
01:24:32 ECS 289A Lecture 9a ECS 289A Lecture 9a	ECS 289A Lecture 9a base structure dna strand energy pairs pair strands kind structures bases thing probability constraints graph domains domain planar sequences constraint From David Doty 0 likes 14 plays 0
14:13 ECS 220 6a:7.1 axiomatic foundation of mathematics ECS 220 6a:7.1 axiomatic foundation of mathematics	ECS 220 6a:7.1 axiomatic foundation of mathematics sets problem procedure algorithm things statement hilbert elements numbers mathematics mathematicians axiom constraint russell sequences pair object sort solution operations From David Doty 0 likes 21 plays 0
10:06 ECS 220 2c:5.3-2 NAE-SAT reduces to 3-Coloring ECS 220 2c:5.3-2 NAE-SAT reduces to 3-Coloring	ECS 220 2c:5.3-2 NAE-SAT reduces to 3-Coloring color graph formula clause gadgets coloring reduction colors assignment node nodes problem instance opposite orange choice words input constraint witness From David Doty 0 likes 37 plays 0
08:46 ECS 220 2a:4.2-3 Integer-Partitioning and… ECS 220 2a:4.2-3 Integer-Partitioning and Subset-Sum	ECS 220 2a:4.2-3 Integer-Partitioning and Subset-Sum sum integers numbers subset algorithm problem integer half target recursion base words programming constraint sums total side bits binary running From David Doty 0 likes 26 plays 0
03:57 ECS 220 2a:4.2-1 3-Coloring reduces to CNF-SAT ECS 220 2a:4.2-1 3-Coloring reduces to CNF-SAT	ECS 220 2a:4.2-1 3-Coloring reduces to CNF-SAT graph algorithm coloring color reduction formula planar clauses input colorable cnf constraints implications structure edge variables node answer graphs constraint From David Doty 0 likes 57 plays 0
04:27 ECS 220 1c:4.2-3 CNF-SAT ECS 220 1c:4.2-3 CNF-SAT	ECS 220 1c:4.2-3 CNF-SAT formula cnf quail constraint clauses assignment clause end palomar sat zeros form r. variables inputs bird party dinner textbook problem From David Doty 0 likes 39 plays 0
54:01 ARE/ECN 115A: Agriculture (2) ARE/ECN 115A: Agriculture (2)	ARE/ECN 115A: Agriculture (2) food household kind farmers lot market production effect point fertilizer fish households curve model fact inputs rice level constraint places From Travis Lybbert 0 likes 6 plays 0
13:09 mat168-modeling9.mp4 mat168-modeling9.mp4	mat168-modeling9.mp4 cities edges equations problem function sum subset salesman question parameters constraints s. vertices solutions triangle highways bit cardinality cost constraint From Jesus De Loera 0 likes 67 plays 0
34:25 2020-12-09-b: Convex piecewise linear modeling… 2020-12-09-b: Convex piecewise linear modeling (MAT 168 Optimization)	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… linear function variables convex problem sum loss formulation squares class objective b. relationship piecewise constraint times regression optimization solution matrix From Matthias Koeppe 0 likes 7 plays 0
49:52 2020-12-02: Facility location, Chvatal-Gomory… 2020-12-02: Facility location, Chvatal-Gomory cuts (MAT 168 Optimization)	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… inequality constraint lambda formulation facility constraints integer variables inequalities side i. customer facilities hand sum customers times problem situation capacity From Matthias Koeppe 0 likes 22 plays 0
49:05 2020-11-23: Cutting plane algorithms (MAT 168… 2020-11-23: Cutting plane algorithms (MAT 168 Optimization)	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… solution problem variables dictionary formulation inequality method solver lp relaxation constraint solutions simplex sum constraints cut tilde optimization inequalities bar From Matthias Koeppe 0 likes 20 plays 0
51:22 2020-11-20: TSP formulations: strength,… 2020-11-20: TSP formulations: strength, relaxations (MAT 168 Optimization)	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,… problem optimization formulation inequality cut solution constraints edges subset integer side inequalities tour s. hand linear graph variables relaxation constraint From Matthias Koeppe 0 likes 26 plays 0
51:27 2020-11-18: Traveling salesperson problem (TSP) 2020-11-18: Traveling salesperson problem (TSP)	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… edges problem constraints tour vertex solution constraint formulation graph vertices degree things distances subset optimization s. variables cycle thing bit From Matthias Koeppe 0 likes 20 plays 0
46:08 2020-11-02: Transportation, min-cost flow… 2020-11-02: Transportation, min-cost flow problems (MAT 168 Optimization)	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)… matrix arcs flow demand network method simplex row node rows constraint side supply rank structure constraints outflow problem transshipment warehouses From Matthias Koeppe 0 likes 26 plays 0