Conic Optimization, with Applications to (Robust) Truss Topology Design

C. Roos (Faculty of Information Technologay and Systems, Delft University of Technology, The Netherlands)
D. Chaerani (Jurusan Matematika FMIPA, Univ. Padjajaran Bandung, Indonesia)

Journal of Mathematical and Fundamental Sciences
Vol. 34 No. 2&3 (2002)

After a brief introduction to the field of Conic Optimization we presentsome interesting applications to the (robust) trus topologr design (TTD)problem, where the goal is to design a truss of a given weight best ableto withstand a set of given loads. We present a linear model for thesingle-load case and semidefinite models for the multi-load and the ro'bust TTD problem. All models are illustrated by examples. It is alsoshown that by using duality the size of some of these models can bereduced significantly.