Document Detail


Exploring the runtime of an evolutionary algorithm for the multi-objective shortest path problem.
MedLine Citation:
PMID:  20560760     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
We present a natural vector-valued fitness function f for the multi-objective shortest path problem, which is a fundamental multi-objective combinatorial optimization problem known to be NP-hard. Thereafter, we conduct a rigorous runtime analysis of a simple evolutionary algorithm (EA) optimizing f. Interestingly, this simple general algorithm is a fully polynomial-time randomized approximation scheme (FPRAS) for the problem under consideration, which exemplifies how EAs are able to find good approximate solutions for hard problems. Furthermore, we present lower bounds for the worst-case optimization time.
Authors:
Christian Horoba
Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Evolutionary computation     Volume:  18     ISSN:  1530-9304     ISO Abbreviation:  Evol Comput     Publication Date:  2010  
Date Detail:
Created Date:  2010-08-03     Completed Date:  2010-11-05     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  9513581     Medline TA:  Evol Comput     Country:  United States    
Other Details:
Languages:  eng     Pagination:  357-81     Citation Subset:  IM    
Affiliation:
Fakultät für Informatik, TU Dortmund, 44221 Dortmund, Germany. horoba@ls2.cs.tu-dortmund.de
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MeSH Terms
Descriptor/Qualifier:
Algorithms*
Evolution*
Models, Statistical

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine


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