Integer Linear Programming (ILP) is the foundation of combinatorial optimization, which is extensively applied across numerous industries to resolve challenging decision-making issues. Under a set of ...

Integer programming (IP) is a powerful tool used to solve optimization problems with discrete variables. This means the variables can only take on whole number values, representing real-world ...

Algorithms for integer programming often take a first stab at a solution with linear programming, which is outwardly similar but allows the variables to vary continuously. Linear constraints, ...

When your integer programming model isn't performing as expected, the first step is to identify which constraints are causing issues. You can achieve this by systematically relaxing each ...

Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it. The traveling salesperson problem is one of the oldest ...

There are at least two other ways I can think of solving this: generating functions and dynamic programming. GF is more math but may have a closed form (or ask WA to bash it out ), and can handle ...

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 ...

A recent approach, based on integer programming, resolves this tension for non-negative tensor completion. It achieves the information-theoretic sample complexity rate and deploys the blended ...