Breaking the search space symmetry in partitioning problems

“…with the Hungarian algorithm [Kühn, 1955]). A complete description of this methodology is available [Gusfield, 2002] and it is used by all recent studies ( [Charon et al, 2006;da Costa and Rao, 2004;Cardoso and Corte-Real, 2005;Talbi and Weinberg, 2007]) dealing with partition distances.…”

Section: Context and Related Studiesmentioning

confidence: 99%

Heuristic algorithms and learning techniques: applications to the graph coloring problem

Porumbel¹

2011

4OR-Q J Oper Res

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An Iterated Local Search to find many solutions of the 6-states Firing Squad Synchronization Problem

Clergue

Vérel

Formenti

2018

Applied Soft Computing

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This paper proposes an optimization approach for solving a classical problem in cellular automata theory: the 6-states Firing Squad Synchronization Problem (FSSP). To this purpose, we introduce an original optimization function which quantifies the quality of solutions according only to the main goal of the problem without taking into account any side information about cellular automata computations. This function is used for a dedicated Iterated Local Search algorithm which finds several hundreds of new solutions of the FSSP. Note, that up to present only one human-designed solution was known which is optimal in time. Most of the new solutions found by our algorithm have lower complexity (in terms of number of transitions rules used). An analysis of the fitness landscape for FSSP explains why, counter-intuitively, local search strategy can achieve good results for FSSP.

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Breaking the search space symmetry in partitioning problems

Cited by 4 publications

References 5 publications

Exam timetabling using genetic algorithm

Exam timetabling using genetic algorithm

Heuristic algorithms and learning techniques: applications to the graph coloring problem

An Iterated Local Search to find many solutions of the 6-states Firing Squad Synchronization Problem

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