On Performance Estimates for Two Evolutionary Algorithms

  • Authors:
  • Pavel A. Borisovsky;Anton V. Eremeev

  • Affiliations:
  • -;-

  • Venue:
  • Proceedings of the EvoWorkshops on Applications of Evolutionary Computing
  • Year:
  • 2001

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Abstract

In this paper we consider the upper and lower bounds on probability to generate the solutions of sufficient quality using evolutionary strategies of two kinds: the (1+1)-ES and the (1,驴)-ES (see e.g. [1,2]). The results are obtained in terms of monotone bounds [3] on transition probabilities of the mutation operator. Particular attention is given to the computational complexity of mutation procedure for the NP-hard combinatorial optimization problems.