Online algorithms for 1-space bounded multi dimensional bin packing and hypercube packing

	Online algorithms for 1-space bounded multi dimensional bin packing and hypercube packing
	Zhang, Yong; Chin, Francis Y. L; Ting, Hing-Fung; Han, Xin
刊名	Journal of Combinatorial Optimization
	2013
英文摘要	In this paper, we study 1-space bounded multi-dimensional bin packing and hypercube packing. A sequence of items arrive over time, each item is a d-dimensionalhyperbox (in bin packing) or hypercube (in hypercube packing), and the length of each side is no more than 1. These items must be packed without overlapping into d-dimensional hypercubes with unit length on each side. In d-dimensional space, any two dimensions i and j define a space P ij . When an item arrives, we mustpack it into an active bin immediately without any knowledge of the future items, and 90aˆˆ˜-rotation on any plane P ij is allowed. The objective is to minimize the total number of bins used for packing all these items in the sequence. In the 1-space bounded variant, there is only one active bin for packing the current item. If the activebin does not have enough space to pack the item, it must be closed and a new active bin is opened. For d-dimensional bin packing, an online algorithm with competitive ratio 4 d is given. Moreover, we consider d-dimensional hypercube packing, and give a 2 d+1-competitive algorithm. These two results are the first study on 1-space bounded multi dimensional bin packing and hypercube packing. © 2012 The Author(s).(33 refs)
收录类别	SCI
原文出处	http://link.springer.com/article/10.1007%2Fs10878-012-9457-z
语种	英语
WOS记录号	WOS:000321062500001
内容类型	期刊论文
源URL	[http://ir.siat.ac.cn:8080/handle/172644/5035]
专题	深圳先进技术研究院_数字所
作者单位	Journal of Combinatorial Optimization
推荐引用方式 GB/T 7714	Zhang, Yong,Chin, Francis Y. L,Ting, Hing-Fung,et al. Online algorithms for 1-space bounded multi dimensional bin packing and hypercube packing[J]. Journal of Combinatorial Optimization,2013.
APA	Zhang, Yong,Chin, Francis Y. L,Ting, Hing-Fung,&Han, Xin.(2013).Online algorithms for 1-space bounded multi dimensional bin packing and hypercube packing.Journal of Combinatorial Optimization.
MLA	Zhang, Yong,et al."Online algorithms for 1-space bounded multi dimensional bin packing and hypercube packing".Journal of Combinatorial Optimization (2013).