 Polynomial-time approximation scheme

A Polynomial-time Approximation Scheme (PTAS) is a type of algorithmic framework used to find approximate solutions to optimization problems, particularly those that are NP-hard. The key characteristics of a PTAS are: 1. **Approximation Guarantee**: Given an optimization problem and a function \( \epsilon > 0 \), a PTAS provides a solution that is within a factor of \( (1 + \epsilon) \) of the optimal solution.