We present integer linear programming formulation and a simple yet elegant dynamic programming algorithm. We will present a 3/2 factor approximation algorithm by Christofides and discuss some ...

We will learn some divide and conquer algorithms for Integer Multiplication (Karatsuba’s Algorithm), Matrix Multiplication (Strassen’s Algorithm), Fast Fourier Transforms (FFTs), and Finding Closest ...

They will learn the foundations of integer and combinatorial optimization, and apply polyhedral theory to design effective algorithms to solve large-scale integer programs in practice. They will be ...

Introduction to theory and the solution of linear and nonlinear programming problems: including linear programming, duality, the simplex method, lagrangian duality, convex programming and KKT ...

MG4C6.1 Foundations of Mathematical Programming: An introduction to linear programming and to the theory of duality. MG4C6.2 Mathematical Programming: Introduction to theory and the solution of linear ...