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Mathematical Problems in Engineering
Article . 2011 . Peer-reviewed
License: CC BY
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Mathematical Problems in Engineering
Article
License: CC BY
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zbMATH Open
Article . 2011
Data sources: zbMATH Open
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Statistical Design of Genetic Algorithms for Combinatorial Optimization Problems

Statistical design of genetic algorithms for combinatorial optimization problems
Authors: Shahsavar, Moslem; Najafi, Amir Abbas; Niaki, Seyed Taghi Akhavan;

Statistical Design of Genetic Algorithms for Combinatorial Optimization Problems

Abstract

Many genetic algorithms (GA) have been applied to solve different NP‐complete combinatorial optimization problems so far. The striking point of using GA refers to selecting a combination of appropriate patterns in crossover, mutation, and and so forth and fine tuning of some parameters such as crossover probability, mutation probability, and and so forth. One way to design a robust GA is to select an optimal pattern and then to search for its parameter values using a tuning procedure. This paper addresses a methodology to both optimal pattern selection and the tuning phases by taking advantage of design of experiments and response surface methodology. To show the performances of the proposed procedure and demonstrate its applications, it is employed to design a robust GA to solve a project scheduling problem. Through the statistical comparison analyses between the performances of the proposed method and an existing GA, the effectiveness of the methodology is shown.

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Keywords

Combinatorial optimization, Approximation methods and heuristics in mathematical programming

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    popularity
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    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Top 10%
Top 10%
Top 10%
gold