Combinatorial Optimization by Dynamic Contraction

  • Authors:
  • Youssef Saab

  • Affiliations:
  • Computer Engineering and Computer Science Department, University of Missouri-Columbia, Engineering Building West, Columbia, MO 65211. E-mail: saab@cecs.missouri.edu

  • Venue:
  • Journal of Heuristics
  • Year:
  • 1997

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Abstract

A heuristic optimization methodology, Dynamic Contraction (DC), is introduced as an approach for solving a widevariety of hard combinatorial problems. Contraction is an operation thatmaps an instance of a problem to a smaller instance of the same problem.DC is an iterative improvement strategy that relies on contraction as amechanism for escaping local minima. As a byproduct of contraction,efficiency is improved due to a reduction of problem size. Effectivenessof DC is shown through simple applications to two classicalcombinatorial problems: The graph bisection problem and the travelingsalesman problem.