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 ...

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 ...

Integer Programming: Description: An advanced course on theory and algorithms for integer and mixed integer optimization problems. Convergence of integer programming algorithms, dual relaxations, ...

Integer programming and combinatorial optimization form the backbone of many decision-making and resource allocation problems across diverse fields, from logistics and telecommunications to ...

We present a genetic algorithm for the multiple-choice integer program that finds an optimal solution with probability one (though it is typically used as a heuristic). General constraints are relaxed ...