Combinatorial configurations in balance layout optimization problems

DOI10.1007/s10559-018-0023-2zbMath1393.90102OpenAlexW2795889148WikidataQ130019142 ScholiaQ130019142MaRDI QIDQ722043

S. B. Shekhovtsov, Inna A. Urniaieva, A. A. Kovalenko, I. V. Grebennik, Tatiana E. Romanova

Publication date: 20 July 2018

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-018-0023-2

zbMATH Keywords

optimizationmathematical model3D objectsbalance layoutcombinatorial configurationsphi-function method

Mathematics Subject Classification ID

Combinatorial optimization (90C27) Complexity and performance of numerical algorithms (65Y20)

Related Items (11)

Two approaches to modeling and solving the packing problem for convex polytopes ⋮ Sparse balanced layout of ellipsoids ⋮ Packing convex polygons in minimum-perimeter convex hulls ⋮ Proportional packing of circles in a circular container ⋮ Theory and methods of Euclidian combinatorial optimization: current status and prospects ⋮ Optimized packing multidimensional hyperspheres: a unified approach ⋮ Unnamed Item ⋮ Sparsest balanced packing of irregular 3D objects in a cylindrical container ⋮ Sparse balanced layout of spherical voids in three-dimensional domains ⋮ Iterated dynamic thresholding search for packing equal circles into a circular container ⋮ Lattice coverage of cuboid with minimum number of hemispheres

Uses Software

• Ipopt

Cites Work

• Quasi-phi-functions and optimal packing of ellipses
• Space engineering. Modeling and optimization with case studies
• Modeling and optimization in space engineering.
• Phi-functions for 2D objects formed by line segments and circular arcs
• Balance layout problem for 3D-objects: mathematical model and solution methods
• The complexity of cutting complexes
• Mathematical model and efficient algorithms for object packing problem
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Balance Layout Problems: Mathematical Modeling and Nonlinear Optimization
• Mathematical Models of Placement Optimisation: Two- and Three-Dimensional Problems and Applications
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