Academic Notes · Optimization

Linear Programming

Notes on linear optimization, feasible regions, duality, complementary slackness, simplex geometry, and sensitivity analysis.

Linear Programming

Notes and drafts.

This section collects notes on primal-dual structure, geometric interpretation, algorithmic ideas, and sensitivity analysis in linear optimization.

Linear Programming Duality

Draft note / optimization

A note on primal-dual linear programs, weak duality, strong duality, complementary slackness, and economic interpretations.

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Simplex Method: Geometry Before Algorithm

Planned note

A geometric introduction to vertices, bases, adjacent basic feasible solutions, and simplex pivots.

Coming soon

Sensitivity Analysis

Planned note

A short note on shadow prices, reduced costs, right-hand-side perturbations, and objective coefficient changes.

Coming soon