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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 eld of Conic Optimization.

We present a linear model for the single-load case and semide nite
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 signi cantly.