Optimal Placement of Piles in Real Grillages: Experimental Comparison of Optimization Algorithms

The aim of the article is to choose algorithms suited for optimal placement of piles in real grillages by performing experimental comparison of different global optimization algorithms. The comparison includes several algorithms: random search, metaheuristics (simulated annealing and genetic algorithm) and local optimization combined with random search. The algorithms are compared using the results of optimization of pile placement schemes of 10 practical grillages of small-to-medium scale with data obtained from several design bureaus. The best results have been achieved with simulated annealing and nonlinear optimization algorithm NEWUOA combined with heuristic random search. http://dx.doi.org/10.5755/j01.itc.40.2.427

[1]  Vincent Herbert,et al.  Comparison of Global Optimization Methods for Drag Reduction in the Automotive Industry , 2005, ICCSA.

[2]  Rimantas Belevičius,et al.  Optimisation of grillage-type foundations , 2000 .

[3]  Chun Man Chan,et al.  Optimization of Pile Groups Using Hybrid Genetic Algorithms , 2009 .

[4]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[5]  L. Reese,et al.  Analysis and Design of Shallow and Deep Foundations , 2005 .

[6]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[7]  Colin MacBeth,et al.  A comparison of global optimisation methods for near-offset VSP inversion , 1998 .

[8]  Saulius Valentinavičius,et al.  MULTILEVEL OPTIMIZATION OF GRILLAGES , 2002 .

[9]  W. Press Numerical recipes in Fortran 77 : the art of scientific computing : volume 1 of fortran numerical recipes , 1996 .

[10]  Raimondas Ciegis,et al.  Parallel Global Optimization of Foundation Schemes in Civil Engineering , 2004, PARA.

[11]  Jasbir S. Arora,et al.  A comparison of global optimization algorithms applied to a ride comfort optimization problem , 2002 .

[12]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[13]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[14]  Hae Sung Lee,et al.  Optimal Pile Placement for Minimizing Differential Settlements in Piled Raft Foundations , 1999 .

[15]  Julius Žilinskas,et al.  Branch and bound with simplicial partitions for global optimization , 2008 .

[16]  Joseph E. Bowles,et al.  Foundation analysis and design , 1968 .

[17]  Julius Žilinskas,et al.  Experimental Investigation of Local Searches for Optimization of Grillage-Type Foundations , 2009 .

[18]  M. Powell The NEWUOA software for unconstrained optimization without derivatives , 2006 .

[19]  Charles Audet,et al.  Comparison of derivative-free optimization methods for groundwater supply and hydraulic capture community problems , 2008 .