A general-purpose hill-climbing method for order independent minimum grouping problems: A case study in graph colouring and bin packing

  • Authors:
  • Rhyd Lewis

  • Affiliations:
  • Quantitative Methods Research Group, Cardiff Business School, Prifysgol Caerdydd/Cardiff University, Cardiff, CF10 3EU Wales, UK

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2009

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Abstract

A class of problems referred to as order independent minimum grouping problems is examined and an intuitive hill-climbing method for solving such problems is proposed. Example applications of this generic method are made to two well-known problems belonging to this class: graph colouring and bin packing. Using a wide variety of different problem instance-types, these algorithms are compared to two other generic methods for this problem type: the iterated greedy algorithm and the grouping genetic algorithm. The results of these comparisons indicate that the presented applications of the hill-climbing approach are able to significantly outperform these algorithms in many cases. A number of reasons for these characteristics are given in the presented analyses.