Cost optimization of reinforced concrete cantilever retaining walls under seismic loading using a biogeography-based optimization algorithm with Levy flights

Abstract

To cite this article: Ibrahim Aydogdu (2016): Cost optimization of reinforced concrete cantilever retaining walls under seismic loading using a biogeography-based optimization algorithm with Levy flights, Engineering Optimization, ABSTRACTIn this article, a new version of a biogeography-based optimization algorithm with Levy flight distribution (LFBBO) is introduced and used for the optimum design of reinforced concrete cantilever retaining walls under seismic loading. The cost of the wall is taken as an objective function, which is minimized under the constraints implemented by the American Concrete Institute (ACI 318-05) design code and geometric limitations. The influence of peak ground acceleration (PGA) on optimal cost is also investigated. The solution of the problem is attained by the LFBBO algorithm, which is developed by adding Levy flight distribution to the mutation part of the biogeography-based optimization (BBO) algorithm. Five design examples, of which two are used in literature studies, are optimized in the study. The results are compared to test the performance of the LFBBO and BBO algorithms, to determine the influence of the seismic load and PGA on the optimal cost of the wall. ARTICLE HISTORY

Optimum design of RC cantilever retaining walls subjected to static and dynamic loadings by differential evolution algorithm

“…Ancak belirtmek gerekir ki, bu çalışmalarda sadece statik yükler dikkate alınmış, dinamik yükler dikkate alınmamıştır. Dinamik etkilerin de dikkate alındığı çalışmalara ise Aydoğdu [26], Kaveh ve Soleimani [27], Kayabekir ve diğ. [28] tarafından yapılan çalışmalar örnek olarak gösterilebilir.…”

Tabanında Anahtar Kesiti Bulunan Betonarme İstinat Duvarlarının Jaya Algoritmasıyla Optimum Tasarımı

“…Zemin tahkiklerine göre optimizasyonu hedef güvenilirlik yaklaşımıyla [10], sadece minimum CO2 emisyonu için optimizasyonu, melez bir algoritma olan Çoklu Başlangıç Değişkenli Komşuluk Arama Eşiği Stratejik Algoritmasıyla [11], minimum maliyet yada ağırlık için optimizasyonu; Doğrusal Olmayan Programlamayla [12], Armoni Arama Algoritmasıyla [13], Büyük Patlama Büyük Çöküş Algoritmasıyla [14], Parçacık Sürü, Ateş Böceği ve Guguk Kuşu algoritmalarıyla karşılaştırmalı olarak [15] gerçekleştirilmiştir. Ayrıca deprem yüklerini de dikkate alarak maliyet optimizasyonunda, Işın Optimizasyon Yöntemi [16], Parçacık Sürü Optimizasyon Algoritması [17] ve Levy Uçuşları ile Biyocoğrafya Tabanlı Optimizasyon Algoritması [18] kullanılmıştır. Bununla birlikte literatürde JAYA Algoritmasının istinat duvarlarına uygulandığı bir çalışmaya rastlanmamıştır.…”

Biogeography-Based Optimization Algorithm for Designing of Planar Steel Frames

“…If an independent variable is to be modified, then the value of the independent design variable is determined using the roulette wheel selection method, which is related to the emigration probability. The emigration probability is calculated as follows [16]:…”

“…There are some studies in different areas include the application of BBO; such as constrained optimization problems [11], best compromise solution of economic emission dispatch [12], optimal job scheduling in cloud computing [13], soft-sensor models [14], AC transmission system devices [15]. In structural engineering, BBO is also promisingly utilized in obtaining the optimum design of cost optimization of reinforced concrete cantilever retaining walls under seismic loading [16], optimization of spatial steel frames [17], optimal carbon dioxide emissions of the RC retaining wall design [18]. In this paper, optimum design of planar steel frames according to AISC-LRFD (American Institute of Steel Construction-Load and Resistance Factor Design) [19] is investigated by using BBO algorithm.…”