A genetic algorithm for a 2D industrial packing problem
Computers and Industrial Engineering
Metaheuristics in combinatorial optimization: Overview and conceptual comparison
ACM Computing Surveys (CSUR)
An effective hybrid algorithm for the problem of packing circles into a larger containing circle
Computers and Operations Research
Note on: an improved algorithm for the packing of unequal circles within a larger containing circle
Computers and Industrial Engineering
PERM for solving circle packing problem
Computers and Operations Research
Adaptive and restarting techniques-based algorithms for circular packing problems
Computational Optimization and Applications
A beam search algorithm for the circular packing problem
Computers and Operations Research
A least wasted first heuristic algorithm for the rectangular packing problem
Computers and Operations Research
Computers and Industrial Engineering
An efficient heuristic algorithm for arbitrary shaped rectilinear block packing problem
Computers and Operations Research
Computers and Industrial Engineering
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This paper studies the layout optimization problem with equilibrium constraint. It is a two-dimensional packing problem with the industrial background of simplified satellite module layout design, and is known as NP-hard problem. By incorporating the heuristic neighborhood search mechanism and the adaptive gradient method into the simulated annealing procedure, a heuristic simulated annealing algorithm is put forward for this problem. The special neighborhood search mechanism can avoid the disadvantage of blind search in the simulated annealing algorithm, and the adaptive gradient method is used to execute local search and speed up finding the global optimal solution. Numerical examples are illustrated to verify the effectiveness of the proposed algorithm.