Elsevier

Parallel Computing

Volume 7, Issue 1, April 1988, Pages 65-85
Parallel Computing

Evolution algorithms in combinatorial optimization

https://doi.org/10.1016/0167-8191(88)90098-1Get rights and content

Abstract

Evolution algorithms for combinatorial optimization have been proposed in the 70's. They did not have a major influence. With the availability of parallel computers, these algorithms will become more important.

In this paper we discuss the dynamics of three different classes of evolution algorithms: network algorithms derived from the replicator equation, Darwinian algorithms and genetic algorithms inheriting genetic information.

We present a new genetic algorithm which relies on intelligent evolution of individuals. With this algorithm, we have computed the best solution of a famous travelling salesman problem. The algorithm is inherently parallel and shows a superlinear speedup in multiprocessor systems.

References (30)

  • C.E. Houstis et al.

    Partitioning PDE computations: Methods and performance evaluation

    Parallel Comput.

    (1987)
  • H. Mühlenbein et al.

    New solutions to the mapping problem of parallel systems — The evolution approach

    Parallel Comput.

    (1987)
  • M.J. Berger et al.

    A partitioning strategy for nonuniform problems on multiprocessors

    IEEE Trans. Comput.

    (1987)
  • T. Bosenick et al.

    Boltzmann and Darwinin strategies in complex optimization

    Phys. Lett.

    (1987)
  • R.M. Brady

    Optimization strategies gleaned from biological evolution

    Nature

    (1985)
  • W. Ebeling et al.

    Models of evolution systems and their application to optimization problems

    System Anal. Model. Simul.

    (1986)
  • W. Ebeling et al.

    Physik der Selbstorganisation und Evolution

    (1980)
  • G.C. Fox

    A review of automatic load balancing and decomposition methods for the hypercube

    Caltech Report C3P385

    (1986)
  • G.C. Fox et al.

    Load balancing by a neural network

    Caltech Report C3P363

    (1986)
  • M. Gorges-Schleuter and H. Mühlenbein, The traveling salesman problem — An evolution approach, to be...
  • J. Hofbauer et al.

    Evolutionstheorie und dynamische Systeme, Mathematische Aspekte der Selektion

    (1984)
  • J.H. Holland

    Adaptation in Natural and Artificial Systems

    (1975)
  • J.J. Hopfield et al.

    “Neural” Computation of decisions in optimization problems

    Biol. Cybern.

    (1985)
  • A. Iwainsky et al.

    Network decomposition for the optimization of connected structures

    Networks

    (1986)
  • B.W. Kernighan et al.

    An efficient heuristic procedure for partitioning graphs

    Bell System Tech. J.

    (February 1970)
  • Cited by (286)

    • Termite life cycle optimizer

      2023, Expert Systems with Applications
    • A GA-based algorithm meets the fair ranking problem

      2021, Information Processing and Management
    • Fractional-Order Water Flow Optimizer

      2024, International Journal of Computational Intelligence Systems
    View all citing articles on Scopus
    View full text