Phase transition and landscape properties of the number partitioning problem

Khulood Alyahya, Jonathan Rowe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Citations (Scopus)

Abstract

This paper empirically studies basic properties of the fitness landscape of random instances of number partitioning problem, with a focus on how these properties change with the phase transition. The properties include number of local and global optima, number of plateaus, basin size and its correlation with fitness. The only two properties that were found to change when the problem crosses the phase transition are the number of global optima and the number of plateaus, the rest of the properties remained oblivious to the phase transition. This paper, also, studies the effect of different distributions of the weights and different neighbourhood operators on the problem landscape.

Original languageEnglish
Title of host publicationEvolutionary Computation in Combinatorial Optimisation
Subtitle of host publication14th European Conference, EvoCOP 2014, Granada, Spain, April 23-25, 2014, Revised Selected Papers
EditorsChristian Blum, Gabriela Ochoa
PublisherSpringer
Pages206-217
Number of pages12
Volume8600
ISBN (Electronic)9783662443200
ISBN (Print)9783662443194
DOIs
Publication statusPublished - 2014
Event14th European Conference on Evolutionary Computation in Combinatorial Optimization, EvoCOP 2014 - Granada, Spain
Duration: 23 Apr 201425 Apr 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8600
ISSN (Print)03029743
ISSN (Electronic)16113349

Conference

Conference14th European Conference on Evolutionary Computation in Combinatorial Optimization, EvoCOP 2014
Country/TerritorySpain
CityGranada
Period23/04/1425/04/14

Keywords

  • Combinatorial optimisation
  • Fitness landscape
  • Makespan scheduling
  • Partitioning problem
  • Phase transition

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

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