Integer linear programming models for topology optimization in sheet metal design

DOI10.1007/s00186-008-0223-zzbMath1211.90135OpenAlexW2086984143MaRDI QIDQ953299

Marzena Fügenschuh, Armin Fügenschuh

Publication date: 17 November 2008

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-008-0223-z

zbMATH Keywords

discretizationinteger programmingtopology optimizationseparationmulticommodity flowsheet metal products

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Integer programming (90C10) Linear programming (90C05)

Related Items (6)

A new branch-and-cut approach for the generalized regenerator location problem ⋮ Exact and approximation algorithms for a soft rectangle packing problem ⋮ Optimal connected subgraphs: Integer programming formulations and polyhedra ⋮ Vertex covering with capacitated trees ⋮ Mixed-integer programming techniques for the connected max-\(k\)-cut problem ⋮ Regenerator location problem: polyhedral study and effective branch-and-cut algorithms

Uses Software

• SCIP
• SoPlex
• Concorde

Cites Work

• On the reformulation of topology optimization problems as linear or convex quadratic mixed 0-1 programs
• Generating optimal topologies in structural design using a homogenization method
• Multicriteria optimization
• The Pseudoflow Algorithm: A New Algorithm for the Maximum-Flow Problem
• Optimal design in elasticity and plasticity
• Modelling topology optimization problems as linear mixed 0-1 programs
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