caa a22 4500 445878134 CHVBK 20180317145533.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s11081-010-9117-z doi (NATIONALLICENCE)springer-10.1007/s11081-010-9117-z Practical optimization of group piles using discrete Lagrange multiplier method [Elektronische Daten] [Jin-Hung Hwang, Ming-Chien Chung, Der-Shin Juang, Yu-Da Lyu, C. Juang] This paper presents a practical methodology for designing group piles of a bridge foundation that can minimize the construction cost. The constraint functions for the designed pile group are constructed according to the design code currently adopted in local engineering practice. A new procedure based on the discrete Lagrange multiplier (DLM) method is proposed for searching the optimal solution. Seven real-world design cases are used to test the validity and the performance of the proposed procedure and algorithm, in which the DLM solutions are compared with the global optimum solutions obtained by the exhaustive searching method (ESM). Vast improvement in the computational efficiency is achieved, as the DLM method can find local minimum solutions in less than 2.0 to 4.0 minutes whereas the time required with the ESM is 10,000 to 25,000 times longer. In the case studies presented, the construction costs in conjunction with the use of the DLM method differ from the global minimum costs by less than 6.0%, but the savings over the original designs can be as high as 13% to 56%. Springer Science+Business Media, LLC, 2010 Group pile design nationallicence Bridge pier foundation nationallicence Practical design nationallicence Code based design nationallicence Discrete Lagrange multiplier method nationallicence Hwang Jin-Hung Department of Civil Engineering, National Central University, No. 300, Jhongda Rd, 32001, Jhong-li, Taoyuan, Taiwan, China aut Chung Ming-Chien SINOTECH Engineering Consultants Inc., No. 171, Nanking East Rd., Section 5, Taipei, Taiwan, ROC aut Juang Der-Shin Department of Civil Engineering, National Central University, No. 300, Jhongda Rd, 32001, Jhong-li, Taoyuan, Taiwan, China aut Lyu Yu-Da Department of Civil Engineering, National Central University, No. 300, Jhongda Rd, 32001, Jhong-li, Taoyuan, Taiwan, China aut Juang C. Department of Civil Engineering, Clemson University, Clemson, SC, USA aut Optimization and Engineering Springer US; http://www.springer-ny.com 12/1-2(2011-03-01), 83-109 1389-4420 12:1-2<83 2011 12 11081 https://doi.org/10.1007/s11081-010-9117-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11081-010-9117-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hwang Jin-Hung Department of Civil Engineering, National Central University, No. 300, Jhongda Rd, 32001, Jhong-li, Taoyuan, Taiwan, China aut NATIONALLICENCE 700 1- Chung Ming-Chien SINOTECH Engineering Consultants Inc., No. 171, Nanking East Rd., Section 5, Taipei, Taiwan, ROC aut NATIONALLICENCE 700 1- Juang Der-Shin Department of Civil Engineering, National Central University, No. 300, Jhongda Rd, 32001, Jhong-li, Taoyuan, Taiwan, China aut NATIONALLICENCE 700 1- Lyu Yu-Da Department of Civil Engineering, National Central University, No. 300, Jhongda Rd, 32001, Jhong-li, Taoyuan, Taiwan, China aut NATIONALLICENCE 700 1- Juang C. Department of Civil Engineering, Clemson University, Clemson, SC, USA aut NATIONALLICENCE 773 0- Optimization and Engineering Springer US; http://www.springer-ny.com 12/1-2(2011-03-01), 83-109 1389-4420 12:1-2<83 2011 12 11081 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer