@article{Gent1998AnalysisOH,
title={Analysis of Heuristics for Number Partitioning},
author={Ian P. Gent and Toby Walsh},
journal={Computational Intelligence},
year={1998},
volume={14},
pages={430-451}
}

We illustrate the use of phase transition behavior in the study of heuristics. Using an “annealed” theory, we define a parameter that measures the “constrainedness” of an ensemble of number partitioning problems. We identify a phase transition at a critical value of constrainedness. We then show that constrainedness can be used to analyze and compare algorithms and heuristics for number partitioning in a precise and quantitative manner. For example, we demonstrate that on uniform random… CONTINUE READING