Dynamics of local search heuristics for the traveling salesman problem

  • Authors:

  • Weiqi Li;B. Alidaee

  • Affiliations:

  • Sch. of Manage., Univ. of Michigan, Flint, MI;-

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
  • Year:
  • 2002

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Abstract

This paper experimentally investigates the dynamical behavior of a search process in a local heuristic search system for a combinatorial optimization problem. Or-opt heuristic algorithm is chosen as the study subject, and the well-known traveling salesman problem (TSP) serves as a problem testbed. This study constructs the search trajectory by using the time-delay method, evaluates the dynamics of the local search system by estimating the correlation dimension for the search trajectory, and illustrates the transition of the local search process from high-dimensional stochastic to low dimensional chaotic behavior.