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Additional resources for Action minimizing orbits in the n-body problem with simple choreography constraint

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Over a small range of integers, how is it likely to perform on a wider range of more realistic problems? This requires a consideration of what exactly is meant bype$orm. The shortest and most efficient algorithm for generating the answer to a particular problem is simply a statement containing the answer to the problem. Given that this requires knowing the answer in the first place, the approach has little value. More useful are highly efficient methods that are specifically tailored to the application at hand, possibly c o n ~ ~ i nproblem g specific operators and information.

BASIC has been used for several reasons. Firstly, it is one of the easiest computer languages to ~ d e r s and ~ dshould cause few problems for those with experience in FORTRAN, PASCAL or C. Secondly, it complements code written in PASCAL and C published in other introducto~text books ([GO891 and [MI941 respectively). The disk also contains translations of the code into FORTRAN, PASCAL and C. To ensure maximum compatibili~with the text, these are near direct translations from the BASIC code and therefore do not represent the best way of coding a GA in these languages.

Given I = 4, what is the highest fitness that can be found by a binary encoded GA for the problem MAX[sin’’(x)]; 0 I xI 3? 4. If N = 6 withfi = 1,fi = 2,f3= 3,f4 = 4,h = 5 andfa = 6, how many times is the individual with f= 4 likely to be picked by fitness proportional selection in a single generation? What is the minimum and maximum possible number of times the individual withf= 6 might be picked? What problem does this indicate could arise in a GA using fitness proportional selection? 5. Write, in a programming language of your choice, a GA similar to LGA.

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Action minimizing orbits in the n-body problem with simple choreography constraint by Barutello V., Terracini S.


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