Using dual approximation algorithms for scheduling problems theoretical and practical results
Journal of the ACM (JACM)
Complexity of scheduling parallel task systems
SIAM Journal on Discrete Mathematics
A Strip-Packing Algorithm with Absolute Performance Bound 2
SIAM Journal on Computing
Shelf algorithms for on-line strip packing
Information Processing Letters
The grid: blueprint for a new computing infrastructure
The grid: blueprint for a new computing infrastructure
Virtual hierarchies to support server consolidation
Proceedings of the 34th annual international symposium on Computer architecture
On-line scheduling of parallel jobs in a list
Journal of Scheduling
Incremental Medians via Online Bidding
Algorithmica
Online algorithm for parallel job scheduling and strip packing
WAOA'07 Proceedings of the 5th international conference on Approximation and online algorithms
Online scheduling of parallel jobs on two machines is 2-competitive
Operations Research Letters
Analysis of multi-organization scheduling algorithms
Euro-Par'10 Proceedings of the 16th international Euro-Par conference on Parallel processing: Part II
A fast 5/2-approximation algorithm for hierarchical scheduling
EuroPar'10 Proceedings of the 16th international Euro-Par conference on Parallel processing: Part I
Scheduling jobs on heterogeneous platforms
COCOON'11 Proceedings of the 17th annual international conference on Computing and combinatorics
Approximation algorithms for multiple strip packing
WAOA'09 Proceedings of the 7th international conference on Approximation and Online Algorithms
A (2+ε)-approximation for scheduling parallel jobs in platforms
Euro-Par'13 Proceedings of the 19th international conference on Parallel Processing
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We study the multiple-strip packing problem, in which the goal is to pack all the rectangles into m vertical strips of unit widths such that the maximum height among strips used is minimized. A number of on-line algorithms for this problem are proposed, in which the decision of delivering the rectangles to strips as well as packing the rectangles in strips must be done on-line. Both randomized and deterministic on-line algorithms are investigated, and all of them are guaranteed to have constant competitive ratios.