A Fully Polynomial-Time Approximation Scheme (FPTAS) is a type of algorithm used in the field of computational complexity and optimization. It provides a way to find approximate solutions to optimization problems when finding exact solutions may be computationally expensive or infeasible. ### Key Characteristics of FPTAS: 1. **Approximation Guarantee**: An FPTAS will produce a solution that is guaranteed to be within a specified factor of the optimal solution.
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For every , such a scheme returns a feasible solution within relative error and runs in time polynomial in the encoded instance size and in . Dependence polynomial only for each fixed epsilon is the weaker polynomial-time approximation-scheme requirement.