Problem Classification

Classifying computational problems is paramount in the realm of algorithm design and optimization. It enables algorithm selection by matching problem types with suitable algorithms, streamlining resource allocation for efficient computing, and guiding algorithm development and analysis. By categorizing problems based on their inherent attributes, we can identify common problem-solving strategies and design algorithms tailored to specific problem categories. This classification also aids in benchmarking and evaluating algorithm performance, allowing researchers and practitioners to assess the effectiveness of various algorithms in solving similar problem types, ultimately advancing the field of algorithmic research and development.

By The Goal

  • Find a(n) optimal/near-optimal solution - optimization

  • Find whether something is true or false - decision

  • Find a solution that satisfies given criteria - search

  • Find all solutions that satisfies given criteria - enumeration

  • Find how many ways to do something - counting

  • Find the output of a mathematical or logical function - evaluation problem