Title
Memetic Algorithms: The Polynomial Local Search Complexity Theory Perspective
Abstract
In previous work (Krasnogor, http://www.cs.nott.ac.uk/~nxk/papers.html. In: Studies on the Theory and Design Space of Memetic Algorithms. Ph.D. thesis, University of the West of England, Bristol, UK, 2002; Krasnogor and Smith, IEEE Trans Evol Algorithms 9(6):474–488, 2005) we develop a syntax-only classification of evolutionary algorithms, in particular so-called memetic algorithms (MAs). When “syntactic sugar” is added to our model, we are able to investigate the polynomial local search (PLS) complexity of memetic algorithms. In this paper we show the PLS-completeness of whole classes of problems that occur when memetic algorithms are applied to the travelling salesman problem using a range of mutation, crossover and local search operators. Our PLS-completeness results shed light on the worst case behaviour that can be expected of a memetic algorithm under these circumstances. Moreover, we point out in this paper that memetic algorithms for graph partitioning and maximum network flow (both with important practical applications) also give rise to PLS-complete problems.
Year
DOI
Venue
2008
10.1007/s10852-007-9070-9
J. Math. Model. Algorithms
Keywords
Field
DocType
local search,network flow,memetic algorithm,travelling salesman problem,graph partitioning,evolutionary algorithm
Flow network,Memetic algorithm,Mathematical optimization,Crossover,Evolutionary algorithm,Polynomial,Travelling salesman problem,Artificial intelligence,Local search (optimization),Graph partition,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
7
1
1572-9214
Citations 
PageRank 
References 
14
0.63
21
Authors
2
Name
Order
Citations
PageRank
Natalio Krasnogor1121385.53
Jim Smith215211.63