Solving circle packing problems by global optimization: numerical results and industrial applications
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Publication:932199
DOI10.1016/j.ejor.2007.01.054zbMath1156.90013OpenAlexW2029049650MaRDI QIDQ932199
Ignacio Castillo, Frank J. Kampas, János D. Pintér
Publication date: 10 July 2008
Published in: European Journal of Operational Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ejor.2007.01.054
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Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Optimising the palletisation of cylinders in cases
- The discrete p-dispersion problem
- Packing different-sized circles into a rectangular container
- Cutting stock problems and solution procedures
- Packing problems
- Integrated container loading software for pulp and paper industry
- Packing up to 50 equal circles in a square
- Curved hexagonal packings of equal disks in a circle
- Covering a rectangle with equal circles
- Dense packings of congruent circles in a circle
- An attractor-repeller approach to floorplanning
- Approximate algorithms for constrained circular cutting problems
- The optimal packing of arbitrarily-shaped polygons using simulated annealing and polynomial-time cooling schedules
- Improving dense packings of equal disks in a square
- Packing equal circles in a square: A deterministic global optimization approach
- Reformulation descent applied to circle packing problems
- A typology of cutting and packing problems
- An improved algorithm for the packing of unequal circles within a larger containing circle
- A simulated annealing approach for the circular cutting problem
- A mathematical model and a solution method for the problem of placing various-sized circles into a strip
- Generating optimal T-shape cutting patterns for circular blanks
- Optimizing the packing of cylinders into a rectangular container: A nonlinear approach
- Global optimization in action. Continuous and Lipschitz optimization: algorithms, implementations and applications
- An effective hybrid algorithm for the problem of packing circles into a larger containing circle
- A New Upper Bound for the Cylinder Packing Problem
- DISCON: A New Method for the Layout Problem
- Mathematical model and solution method of optimization problem of placement of rectangles and circles taking into account special constraints
- A spring-embedding approach for the facility layout problem
- Solving the Continuous p-Dispersion Problem Using Non-linear Programming
- Cylinder packing by simulated annealing
- Multiple Container Packing: A Case Study of Pipe Packing
- A New Verified Optimization Technique for the "Packing Circles in a Unit Square" Problems
- Global Optimization in Geometry — Circle Packing into the Square
- Greedy algorithms for packing unequal circles into a rectangular container
- Packing Cylinders into Cylindrical Containers
- A Logarithmic Barrier Approach To Solving The Dashboard Planning Problem
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