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A Statistical Approach for Algorithm Selection

  • Joaquín Pérez
  • Rodolfo A. Pazos
  • Juan Frausto
  • Guillermo Rodríguez
  • David Romero
  • Laura Cruz
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3059)

Abstract

This paper deals with heuristic algorithm characterization, which is applied to the solution of an NP-hard problem, in order to select the best algorithm for solving a given problem instance. The traditional approach for selecting algorithms compares their performance using an instance set, and concludes that one outperforms the other. Another common approach consists of developing mathematical models to relate performance to problem size. Recent approaches try to incorporate more characteristics. However, they do not identify the characteristics that affect performance in a critical way, and do not incorporate them explicitly in their performance model. In contrast, we propose a systematic procedure to create models that incorporate critical characteristics, aiming at the selection of the best algorithm for solving a given instance. To validate our approach we carried out experiments using an extensive test set. In particular, for the classical bin packing problem, we developed models that incorporate the interrelation among five critical characteristics and the performance of seven heuristic algorithms. As a result of applying our procedure, we obtained a 76% accuracy in the selection of the best algorithm.

Keywords

Algorithm Selection Algorithm Performance Good Algorithm Problem Characteristic Pheromone Trail 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Joaquín Pérez
    • 1
  • Rodolfo A. Pazos
    • 1
  • Juan Frausto
    • 2
  • Guillermo Rodríguez
    • 3
  • David Romero
    • 4
  • Laura Cruz
    • 5
  1. 1.Centro Nacional de Investigación y Desarrollo Tecnológico (CENIDET)CuernavacaMexico
  2. 2.ITESMCuernavacaMexico
  3. 3.Instituto de Investigaciones EléctricasMexico
  4. 4.Instituto de Matemáticas, UNAMMexico
  5. 5.Instituto Tecnológico de Ciudad MaderoMexico

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