In computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to optimization problems (in particular NP-hard problems) with …

Jul 23, 2025 · The goal of the approximation algorithm is to come as close as possible to the optimal solution in polynomial time. Such algorithms are called approximation algorithms or …

Approximation algorithms: procedures which are proven to give solutions within a factor of optimum. Of these approaches, approximation algorithms are arguably the most …

A family of approximation algorithms {Ae : e > 0} for a problem P. Ae is a (1 + e) - approximation algorithm for P. Ae is runs in time polynomial in input size for a fixed e.

Linear programming is an extremely versatile technique for designing approximation algorithms, because it is one of the most general and expressive problems that we know how to solve in …

In this module we will introduce the technique of LP relaxation to design approximation algorithms, and explain how to analyze the approximation ratio of an algorithm based in LP relaxation.

Approximation algorithms are algorithms designed to solve problems that are not solvable in polynomial time for approximate solutions. These problems are known as NP complete problems.

This book is suitable for use in advanced undergraduate and graduate level courses on approximation algorithms. It has more than twice the material that can be covered in a …

Jun 15, 2025 · Get started with approximation algorithms and learn how to solve complex problems using simple and efficient techniques. Discover the basics of approximation …

A Fully Polynomial Time Approximation Scheme (FPTAS) is an approximation algorithm that runs in time polynomial in both n and c. For example, a O(n2/E) approximation algorithm is a PTAS …