锥优化模型在Robust桁架拓扑设计实例中的应用

本文讨论Robust桁架拓扑设计(TTD)问题，即桁架结构设计问题，使其在固定重量的情况下，具有最佳的承载能力．本文陈述了几种应用锥优化解Robust TTD问题的方法，并简介了锥优化最新的领域．同时，本文给出了一个单负荷的线性模型和一个多负荷的半正定优化模型以及Robust TTD问题．文中所有的模型均有例证．例证显示通过应用对偶性这些模型的规模能被充分的减小．

Conic Optimization Models for Robust Truss Topology Design with Examples

This paper deals with the (robust) truss topology design (TTD) problem, i.e., the problem of designing a truss structure of a given weight which is best able to withstand a set of given loads. Several methods for solving the robust TTD problem are presented using Conic Optimization models. We include a brief introduction to the recent field of Conic Optimization. We present a linear model for the single-load case and semidefinite models for the multi-load and the robust TTD problem. All models are illustrated by examples. It is also shown that by using duality the size of some of these models can be reduced significantly.