Globaliosios sijyno optimizacijos uždaviniai

Rimantas Belevičius, Dmitrij Šešok
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Abstract

Important problem in civil engineering is obtaining optimal pile placement schemes for grillage-type foundations in order to reduce the number of piles and reactive forces arising in piles. The idealizations of problem and formulation for local and global optimization are discussed, highlighting the must for global optimization. The grillage is discretized using finite element method. Sensitivity of objective function is obtained analytically. The solution technology for a class of aforementioned problems is proposed based on the use of global optimization algorithms of package GAMS, which are implemented as ``black boxes”. Results of computational experiments are presented.
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全局光束优化问题
为减少桩数和桩内反力,确定格栅型基础的最优配桩方案是土木工程中的一个重要问题。讨论了局部优化和全局优化问题的理想化和表述,强调了全局优化的必要性。采用有限元法对格栅进行离散。分析了目标函数的灵敏度。提出了基于封装GAMS全局优化算法的上述一类问题的求解技术,该算法以“黑盒”的形式实现。给出了计算实验结果。
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