Simplex Algorithm

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Related lectures (32)

Linear Programming: Weighted Bipartite Matching

Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.

Hedging for LPs

Covers the concept of hedging for Linear Programs and the simplex method, focusing on minimizing costs and finding optimal solutions.

Simplex Algorithm: Tableau MOOC: Optimization: principles and algorithms - Linear optimization

Covers the main idea behind the Simplex algorithm and explains the Tableau method for solving linear programming problems.

Exact methods: Branch and Bound MOOC: Optimization: principles and algorithms - Network and discrete optimization

Explores the Branch and Bound algorithm in discrete optimization, efficiently finding optimal solutions by calculating lower bounds on subsets.

Simplex Algorithm: Graphical Method MOOC: Optimization: principles and algorithms - Linear optimization

Illustrates the simplex algorithm through a graphical method to find optimal solutions.

Discrete Optimization: Relaxation MOOC: Optimization: principles and algorithms - Network and discrete optimization

Explores solving discrete optimization problems by relaxing integrality constraints.

Simplex Algorithm: Solution on a Vertex MOOC: Optimization: principles and algorithms - Linear optimization

Explores the simplex algorithm and how optimal solutions can be found on vertices of constraint polyhedra.

Simplex Algorithm: Exercises & Interpretation Log in to Mediaspace to watch this video

Covers exercises on the Simplex Algorithm, optimizing solutions subject to linear constraints.

Optimal Decision Making: Sensitivity Analysis Log in to Mediaspace to watch this video

Covers sensitivity analysis in linear programming, focusing on optimal solutions and their sensitivities to changes.

Linear Programming Basics Log in to Mediaspace to watch this video

Introduces linear programming basics, including optimization problems, cost functions, simplex algorithm, geometry of linear programs, extreme points, and degeneracy.

Simplex Algorithm: Basics Log in to Mediaspace to watch this video

Introduces the Simplex algorithm for solving flow problems and handling negative cost cycles.

Optimization Problems: Path Finding and Portfolio Allocation Log in to Mediaspace to watch this video

Covers optimization problems in path finding and portfolio allocation.

Cutset Formulation: MST Problem Log in to Mediaspace to watch this video

Explores the cutset formulation for the MST Problem and Gomory Cutting Planes method.

Local Sensitivity Analysis: Feasibility and Optimality Log in to Mediaspace to watch this video

Explores local sensitivity analysis in linear programming, examining how changes impact optimality and feasibility.

Linear Optimization: Auxiliary Problem Log in to Mediaspace to watch this video

Explores the formulation of the auxiliary problem in linear optimization and its role in optimal decision-making.

Optimization Principles Log in to Mediaspace to watch this video

Covers optimization principles, including linear optimization, networks, and concrete research examples in transportation.

Linear Programming: Two-phase Simplex Algorithm Log in to Mediaspace to watch this video

Covers the application of the two-phase Simplex algorithm to solve linear programming problems.

Optimal Decision Making: The Simplex Method Log in to Mediaspace to watch this video

Introduces the Simplex Method for optimal decision making in linear programming, covering basic and advanced concepts.