Modified Whale Optimization Algorithm Based on Tent Chaotic Mapping and Its Application in Structural Optimization
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pISSN 1226-7988, eISSN 1976-3808 www.springer.com/12205
DOI 10.1007/s12205-020-0504-5
Information Technology
Modified Whale Optimization Algorithm Based on Tent Chaotic Mapping and Its Application in Structural Optimization Yancang Li
a
, Muxuan Han
a
, and Qnglin Guoa
a
College of Civil Engineering, Hebei University of Engineering, Handan 056038, China
ARTICLE HISTORY
ABSTRACT
Received 24 March 2020 Revised 1st 7 July 2020 Revised 2nd 24 July 2020 Accepted 27 July 2020 Published Online 13 October 2020
In this paper, a novel modified whale optimization algorithm based on Tent chaos map and tournament selection strategy (MWOA) was presented. The aim of the improved algorithm is to reduce the possibility of the standard whale algorithm falling into local optimal. During the initialization of the population, in order to increase population diversity and randomness, MWOA cites the Tent chaos map. In the optimization process, in order to improve the development ability of the standard algorithm, the tournament selection strategy was employed to improve the algorithm accuracy. Numerical simulation and example calculation results show that the improved algorithm is superior to the standard WOA algorithm. The improved method provides a new method for truss structure optimization.
KEYWORDS Whale optimization algorithm Tent chaotic mapping Selection strategy Standard function 0-1 Knapsack Problem Combinatorial optimization
1. Introduction The field of computational intelligence is advancing rapidly, and this makes the methods and algorithms of structural optimization design are constantly improving. In recent years, many scholars have worked on optimization algorithms for optimizing structures. Naderi et al. (2020) proposed a new meta-heuristic optimization algorithm called ToP-Up Technique for the size and shape optimization of truss structures. Kalemci et al. (2020) based on ACI 318-05 code and Rankine earth pressure theory, designed the retaining wall as an optimization problem. They designed a lowweight cantilever reinforced concrete retaining wall with shear key by using an optimization algorithm, which is programmed in MATLAB. Pelusi et al. (2020) used genetic algorithm to optimize the geometry of a concrete arch bridge with deck slab. Based on the volume of material, they put forward a finite element numerical model to represent the arch structure, so as to minimize the cost. In 2016, Australian researcher Mirjalili (Mirjalili and Lewis, 2016) proposed a highly efficient heuristic Algorithm: the Whale Optimization Algorithm (WOA), inspired by the feeding behavior CORRESPONDENCE Yancang Li
[email protected]
ⓒ 2020 Korean Society of Civil Engineers
of marine animals such as whales. Many scholars have done a lot of research on this new algorithm. Kaur et al. (2018) introduced chaos mapping into the original algorithm. Elaziz and Mirjalili (2019) used the differential evolution algorithm (DE) to automatically select a chaotic map and a part of the population to alleviate the time-consuming shortcomi
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