Abstract
In this paper we discuss a global optimization problem arising in the calculation of aircraft flight paths. Since gradient information for this problem may not be readily available, a direct-search algorithm (DIRECT), proposed by Jones et al., Journal of Optimization Theory and Applications, vol. 79, pp. 157–181, 1993, appears to be a promising solution technique. We describe some numerical experience in which DIRECT is used in several different ways to solve a sample problem.
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Bartholomew-Biggs, M., Parkhurst, S. & Wilson, S. Using DIRECT to Solve an Aircraft Routing Problem. Computational Optimization and Applications 21, 311–323 (2002). https://doi.org/10.1023/A:1013729320435
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DOI: https://doi.org/10.1023/A:1013729320435