Optimum discrete design of steel tower structures using optics inspired optimization method

Abstract

This paper presents an optics inspired optimization (OIO) method for optimum design of steel tower structures with discrete variables. Inspired by the optical characteristics of concave and convex mirrors, OIO tries to solve optimization problem. In OIO, the surface of the objective function to be minimized is considered as a reflecting wavy mirror consisting of peaks and valleys.To generate a new solution (artificial image point) from a given solution (artificial object/light point) in the search space, it is assumed that the artificial ray glittered from the artificial light point is reflected back artificially by the function surface in which each peak is considered as a convex mirror and each valleys is treated as a concave mirror. Then, the artificial image point is formed by the theory of optics in Physics, and a new solution is generated in the search space accordingly. Numerical experiments have been conducted on 4 benchmark design examples with discrete variables, and the results obtained by OIO are compared to those reported in the literature. The results show that OIO can produce high quality solutions and show a relatively fast convergence rate. KEYWORDS discrete variables, optics inspired optimization, optimum design, tower structures 1 | INTRODUCTION Tower structures are, typically, considered high-rise and large scale structures composed of several hundred elements. They are among the tallest man-made structures. 1 This type of the structures has important applications in the electrical, telecommunication, and broadcasting industries.However, the design optimization of tower structures is a complex and real challenge. Evidence of this complexity is clear from simply glancing through many recently constructed tower structures, in which the existence of high number of design variables as well as the geometrical complexity make finding optimum design a challenging problem.In recent decades, the need for powerful and effective optimization techniques dealing with the structural optimum design problems has become widespread in the field of the structural engineering. [1][2][3][4][5][6][7][8][9][10] The objective of optimum discrete design problem of tower structures is to minimize the constructional costs of the structure under a number of design constraints. The constructional costs are commonly represented by the weight of the tower structure and the design constraints are the axial stresses and the nodal displacements, as well as assuring that the cross-sectional areas are economically available.There has been an increasing interest toward adaptive meta-heuristic optimization techniques inspired from physics, nature, and other disciplines for solving the structural discrete design problem optimally, [11,12] for the reason that they have relatively a powerful global searching capacity and simple framework. Examples are genetic algorithms (GAs), [4,13,14] particle swarm optimization (PSO), [15] ant colony optimization (ACO), [16] harmony search (HS) [17] algorithm, biogeography-based optimization (BBO)...

A Mixed Integer Linear Formulation and a Grouping League Championship Algorithm for a Multiperiod‐Multitrip Order Picking System with Product Replenishment to Minimize Total Tardiness

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An optics inspired optimization method for optimal design of truss structures

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Performance assessment of meta-heuristics for composite layup optimisation

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