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On the detection of nearly optimal solutions in the context of single-objective space mission design problems

Schutze, O. and Lara, A. and Coello Coello, Carlos A. and Vasile, Massimiliano (2011) On the detection of nearly optimal solutions in the context of single-objective space mission design problems. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 225 (11). pp. 1229-1242. ISSN 0954-4100

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    Abstract

    When making decisions, having multiple options available for a possible realization of the same project can be advantageous. One way to increase the number of interesting choices is to consider, in addition to the optimal solution x*, also nearly optimal or approximate solutions; these alternative solutions differ from x* and can be in different regions – in the design space – but fulfil certain proximity to its function value f(x*). The scope of this article is the efficient computation and discretization of the set E of e–approximate solutions for scalar optimization problems. To accomplish this task, two strategies to archive and update the data of the search procedure will be suggested and investigated. To make emphasis on data storage efficiency, a way to manage significant and insignificant parameters is also presented. Further on, differential evolution will be used together with the new archivers for the computation of E. Finally, the behaviour of the archiver, as well as the efficiency of the resulting search procedure, will be demonstrated on some academic functions as well as on three models related to space mission design.

    Item type: Article
    ID code: 38309
    Keywords: single objective optimization , approximate solutions , differential evolution , space mission design, Mechanical engineering and machinery, Motor vehicles. Aeronautics. Astronautics, Mathematics
    Subjects: Technology > Mechanical engineering and machinery
    Technology > Motor vehicles. Aeronautics. Astronautics
    Science > Mathematics
    Department: Faculty of Engineering > Mechanical and Aerospace Engineering
    Technology and Innovation Centre > Advanced Engineering and Manufacturing
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      Depositing user: Pure Administrator
      Date Deposited: 08 Mar 2012 11:17
      Last modified: 04 Sep 2013 21:10
      URI: http://strathprints.strath.ac.uk/id/eprint/38309

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