The density of states — A measure of the difficulty of optimisation problems

  • Helge Rosé
  • Werner Ebeling
  • Torsten Asselmeyer
Theoretical Foundations of Evolutionary Computation
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1141)


We introduce a classifying measure of fitness landscapes — the density of states — for continuous and discrete problems, especially optimisation of sequences and graphs. By means of the Boltzmann strategy we obtain a simple algorithm to calculate the density of states for a given problem. Knowing the density of states we are able to approximate the optimal fitness value of the problem which makes it feasible to assess the effectivity of practical optimisations.


Fitness Function Fitness Landscape Optimal Fitness Practical Optimisation Genotype Space 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Helge Rosé
    • 1
  • Werner Ebeling
    • 1
  • Torsten Asselmeyer
    • 1
  1. 1.Institut of PhysicsHumboldt-University BerlinBerlinGermany

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