optimization bites

Short posts exploring optimization and operations research.

  1. Introduction to Operations Research
    1. What is Operations Research?
  2. Linear Optimization
    1. What is Linear Optimization?
    2. Graphical Solution
    3. Theoretical Analysis
    4. Simplex Algorithm
      1. The Simplex Algorithm
      2. Simplex Initialization
      3. Numerical Examples
      4. Simplex Convergence
    5. Duality
      1. Introduction to Duality
      2. Dual Simplex Algorithm
      3. Post-Optimization
  3. Integer Optimization
    1. Modeling
    2. Branch and Bound
    3. Gomory's Cutting Planes
    4. Modeling Challenges
      1. Sudoku
      2. The $n$-Queens Problem
  4. Nonlinear Optimization
    1. Nonlinear Optimization with Constraints