Paper Info
Title
Online algorithms for 1-space bounded multi dimensional bin packing and hypercube packing
Abstract
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-dimensional hyperbox (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 must pack it into an active bin immediately without any knowledge of the future items, and 90驴-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 active bin 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.
Year
DOI
Venue
2013
10.1007/s10878-012-9457-z
J. Comb. Optim.
Keywords
Field
DocType
Online algorithms,Bin packing,1-space bounded,Multi dimensional
Online algorithm,Mathematical optimization,Combinatorics,Bin,Packing problems,Square packing in a square,Hypercube,Bin packing problem,Mathematics,Competitive analysis,Bounded function
Journal
Volume
Issue
ISSN
26
2
1382-6905
Citations 
PageRank 
References 
5
0.47
23
Authors
4
Name
Order
Citations
PageRank
Yong Zhang16810.51
Francis Y. L. Chin22173377.15
Hing-Fung Ting31078.17
Xin Han421324.49