A Linear Approximation Algorithm for 2-Dimensional Vector Packing

作者: Ekow J. Otoo , Ali Pinar , Doron Rotem

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摘要: We study the 2-dimensional vector packing problem, which is a generalization of classical bin problem where each item has 2 distinct weights and corresponding capacities. The goal to group items into minimum number bins, without violating capacity constraints. propose \Theta}(n)-time approximation algorithm that inspired by O(n^2) proposed Chang, Hwang, Park.

参考文章(2)
Andrea Lodi, Silvano Martello, Daniele Vigo, Recent advances on two-dimensional bin packing problems Discrete Applied Mathematics. ,vol. 123, pp. 379- 396 ,(2002) , 10.1016/S0166-218X(01)00347-X
Nikhil Bansal, Alberto Caprara, Maxim Sviridenko, A New Approximation Method for Set Covering Problems, with Applications to Multidimensional Bin Packing SIAM Journal on Computing. ,vol. 39, pp. 1256- 1278 ,(2010) , 10.1137/080736831