This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Tax calculation will be finalised during checkout.
Hifi M, M’Hallah R. A literature review on circle and sphere packing problems: models and methodologies. Adv Oper Res, 2009. doi: 10.1155/2009/150624
Szabó P G, Markót M C, Csendes T, et al. New Approaches to Circle Packing in a Square: With Program Codes. Berlin: Springer, 2007
Liu J F, Zhang K W, Yao Y L, et al. A heuristic quasiphysical algorithm with coarse and fine adjustment for multi-objective weighted circles packing problem. Comput Ind Eng, 2016, 101: 416–426
He K, Mo D Z, Ye T, et al. A coarse-to-fine quasiphysical optimization method for solving the circle packing problem with equilibrium constraints. Comput Ind Eng, 2013, 66: 1049–1060
He K, Huang W Q, Jin Y. An efficient deterministic heuristic for two-dimensional rectangular packing. Comput Oper Res, 2012, 39: 1355–1363
He K, Huang M L, Yang C K. An action-space-based global optimization algorithm for packing circles into a square container. Comput Oper Res, 2015, 58: 67–74
Liu D C, Nocedal J. On the limited memory BFGS method for large scale optimization. Math Program, 1989, 45: 503–528
Fu Z H, Huang W Q, Lü Z P. Iterated tabu search for the circular open dimension problem. Eur J Oper Res, 2013, 225: 236–243
This work was supported by National Natural Science Foundation of China (Grant Nos. 61472147, 61370183, 61602196, 61772219), and Shenzhen Science and Technology Planning Project (Grant No. JCYJ20170307154749425).
About this article
Cite this article
He, K., Dosh, M., Jin, Y. et al. Packing unequal circles into a square container based on the narrow action spaces. Sci. China Inf. Sci. 61, 048104 (2018). https://doi.org/10.1007/s11432-017-9223-3