Global optimization of truss topology with discrete bar areas. II: Implementation and numerical results

DOI10.1007/s10589-007-9152-7zbMath1184.90110OpenAlexW2038873290WikidataQ56050732 ScholiaQ56050732MaRDI QIDQ849084

Wolfgang Achtziger, Mathias Stolpe

Publication date: 24 February 2010

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-007-9152-7

zbMATH Keywords

global optimizationbranch-and-boundtruss topology optimization

Mathematics Subject Classification ID

Mixed integer programming (90C11) Polyhedral combinatorics, branch-and-bound, branch-and-cut (90C57)

Related Items (14)

Mixed-integer second-order cone optimization for composite discrete ply-angle and thickness topology optimization problems ⋮ Bridging mixed integer linear programming for truss topology optimization and additive manufacturing ⋮ Discrete multi-load truss sizing optimization: model analysis and computational experiments ⋮ Truss topology optimization with discrete design variables -- guaranteed global optimality and benchmark examples ⋮ Global optimization of robust truss topology via mixed integer semidefinite programming ⋮ A hybrid cooperative search algorithm for constrained optimization ⋮ Global optima for the Zhou-Rozvany problem ⋮ A fast method for binary programming using first-order derivatives, with application to topology optimization with buckling constraints ⋮ A new branch and bound method for a discrete truss topology design problem ⋮ Topology optimization of adaptive structures: new limits of material economy ⋮ Truss topology optimization with discrete design variables by outer approximation ⋮ Global optimization of truss topology with discrete bar areas. I: Theory of relaxed problems ⋮ Global optimization of trusses with constraints on number of different cross-sections: a mixed-integer second-order cone programming approach ⋮ Towards a lifecycle oriented design of infrastructure by mathematical optimization

Uses Software

• Matlab
• SNOPT
• CPLEX

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Truss topology optimization with discrete design variables -- guaranteed global optimality and benchmark examples
• Genetic algorithms in truss topological optimization
• Global optimization of truss topology with discrete bar areas. I: Theory of relaxed problems
• On the reformulation of topology optimization problems as linear or convex quadratic mixed 0-1 programs
• Design of planar articulated mechanisms using branch and bound
• An Automatic Method of Solving Discrete Programming Problems
• Optimal Design of Truss Structures by Logic-Based Branch and Cut
• Potential Reduction Polynomial Time Method for Truss Topology Design
• Robust Truss Topology Design via Semidefinite Programming
• Modified trajectory method for practical global optimization problems
• Modelling topology optimization problems as linear mixed 0-1 programs
• SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization

This page was built for publication: Global optimization of truss topology with discrete bar areas. II: Implementation and numerical results