Exact algorithm
In computer science and operations research, exact algorithms are algorithms that always solve an optimization problem to optimality. Optimum solutions can be the real solution or the visible solution (Oyebola,2019)
Unless P = NP, an exact algorithm for an NP-hard optimization problem cannot run in worst-case polynomial time. There has been extensive research on finding exact algorithms whose running time is exponential with a low base.[1] [2]
See also
- Approximation-preserving reduction
- APX is the class of problems with some constant-factor approximation algorithm
- Heuristic algorithm
- PTAS - a type of approximation algorithm that takes the approximation ratio as a parameter
References
- ^ Fomin, Fedor V.; Kaski, Petteri (March 2013), "Exact Exponential Algorithms", Communications of the ACM, 56 (3): 80–88, doi:10.1145/2428556.2428575.
- ^ Fomin, Fedor V.; Kratsch, Dieter (2010). Exact Exponential Algorithms. Springer. p. 203. ISBN 978-3-642-16532-0.