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    기술보고서 게시판 내용
    타이틀 Post-Optimality Analysis in Aerospace Vehicle Design
    저자 Robert D. Braun, Ilan M. Kroo and Peter J. Gage
    Keyword
    URL http://techreports.larc.nasa.gov/ltrs/PDF/aiaa-93-3932.pdf
    보고서번호 AIAA-93-3932
    발행년도 1993
    출처 NASA Langley Research Center
    ABSTRACT This analysis pertains to the applicability of optimal sensitivity information to aerospace vehicle design. An optimal sensitivity (or post-optimality) analysis refers to computations performed once the initial optimization problem is solved. These computations may be used to characterize the design space about the present solution and infer changes in this solution as a result of constraint or parameter variations, without re-optimizing the entire system. The present analysis demonstrates that post-optimality information generated through first-order computations can be used to accurately predict the effect of constraint and parameter perturbations on the optimal solution. This assessment is based on the solution of an aircraft design problem in which the post-optimality estimates are shown to be within a few percent of the true solution over the practical range of constraint and parameter variations. Through solution of a reusable, single-stage-to-orbit, launch vehicle design problem, this optimal sensitivity information is also shown to improve the efficiency of the design process. For a hierarchically decomposed problem, this computational efficiency is realized by estimating the main-problem objective gradient through optimal sensitivity calculations. By reducing the need for finite differentiation of a re-optimized subproblem, a significant decrease in the number of objective function evaluations required to reach the optimal solution is obtained.

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