Mobile Networks and Applications
Robust optimal decisions with imprecise forecasts
Computational Statistics & Data Analysis
Robust One-Period Option Hedging
Operations Research
Retailer-Supplier Flexible Commitments Contracts: A Robust Optimization Approach
Manufacturing & Service Operations Management
Global optimization of truss topology with discrete bar areas--Part I: theory of relaxed problems
Computational Optimization and Applications
Minimax optimization problem of structural design
Computers and Structures
On Safe Tractable Approximations of Chance-Constrained Linear Matrix Inequalities
Mathematics of Operations Research
Computational Optimization and Applications
Practical plastic layout optimization of trusses incorporating stability considerations
Computers and Structures
Wardrop Equilibria with Risk-Averse Users
Transportation Science
NET-COOP'07 Proceedings of the 1st EuroFGI international conference on Network control and optimization
New branch and bound approaches for truss topology design with discrete areas
AMERICAN-MATH'10 Proceedings of the 2010 American conference on Applied mathematics
Removing redundant quadratic constraints
ICMS'10 Proceedings of the Third international congress conference on Mathematical software
Generalized Benders' Decomposition for topology optimization problems
Journal of Global Optimization
A feasible directions method for nonsmooth convex optimization
Structural and Multidisciplinary Optimization
Theory and Applications of Robust Optimization
SIAM Review
Robust solutions of uncertain linear programs
Operations Research Letters
Structural and Multidisciplinary Optimization
A new Branch and Bound method for a discrete truss topology design problem
Computational Optimization and Applications
Robust topology optimization accounting for misplacement of material
Structural and Multidisciplinary Optimization
SDP reformulation for robust optimization problems based on nonconvex QP duality
Computational Optimization and Applications
On robust design optimization of truss structures with bounded uncertainties
Structural and Multidisciplinary Optimization
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We present and motivate a new model of the truss topology design problem, where the rigidity of the resulting truss with respect both to given loading scenarios and small "occasional" loads is optimized. It is shown that the resulting optimization problem is a semidefinite program. We derive and analyze several equivalent reformulations of the problem and present illustrative numerical examples.