Publication Details

Multiobjective Bayesian Optimization Algorithm for Combinatorial Problems: Theory and Practice

SCHWARZ Josef and OČENÁŠEK Jiří. Multiobjective Bayesian Optimization Algorithm for Combinatorial Problems: Theory and Practice. NEURAL NETWORK WORLD, vol. 11, no. 5, 2001, pp. 423-441. ISSN 1210-0552.
Czech title
Multiobjective Bayesian Optimization Algorithm for Combinatorial Problems: Theory and Practice
Type
journal article
Language
english
Authors
Schwarz Josef, Ing., CSc. (DCSE FEECS BUT)
Očenášek Jiří, Ing. (DCSE FEECS BUT)
URL
Keywords

Multiobjective optimization, Pareto and non Pareto algorithms, evolutionary algorithms, probabilistic model, estimation distribution algorithms, Bayesian optimization algorithm, niching techniques

Abstract

This paper deals with the utilizing of the Bayesian optimization algorithm (BOA) for the multiobjective optimization of combinatorial problems. Three probabilistic models used in the Estimation Distribution Algorithms (EDA), such as UMDA, BMDA and BOA which allow to search effectively on the promising areas of the combinatorial search space are discussed. The main attention is focused on the incorporation of Pareto optimality concept into classical structure of the BOA algorithm. We have modified the standard algorithm BOA for one criterion optimization utilizing the known niching techniques to find the Pareto optimal set. The experiments are focused on tree classes of the combinatorial problems: artificial problem with known Pareto set, multiple 0/1 knapsack problem and the bisectioning of hypergraphs as well.

Published
2001
Pages
423-441
Journal
NEURAL NETWORK WORLD, vol. 11, no. 5, ISSN 1210-0552
BibTeX
@ARTICLE{FITPUB6762,
   author = "Josef Schwarz and Ji\v{r}\'{i} O\v{c}en\'{a}\v{s}ek",
   title = "Multiobjective Bayesian Optimization Algorithm for Combinatorial Problems: Theory and Practice",
   pages = "423--441",
   journal = "NEURAL NETWORK WORLD",
   volume = 11,
   number = 5,
   year = 2001,
   ISSN = "1210-0552",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/6762"
}
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