Using dual approximation algorithms for scheduling problems theoretical and practical results
Journal of the ACM (JACM)
There is no asymptotic PTAS for two-dimensional vector packing
Information Processing Letters
A 13/12 approximation algorithm for bin packing with extendable bins
Information Processing Letters
Approximation schemes for scheduling
SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
On multi-dimensional packing problems
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
Approximation algorithms for partitioning small items in unequal bins to minimize the total size
Proceedings of the third international conference on Graphs and optimization
Record Allocation for Minimizing Expected Retrieval Costs on Drum-Like Storage Devices
Journal of the ACM (JACM)
Algorithms for Scheduling Independent Tasks
Journal of the ACM (JACM)
Approximation algorithms for extensible bin packing
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Approximation Schemes for Covering and Scheduling on Related Machines
APPROX '98 Proceedings of the International Workshop on Approximation Algorithms for Combinatorial Optimization
Approximation Schemes for Scheduling on Uniformly Related and Identical Parallel Machines
ESA '99 Proceedings of the 7th Annual European Symposium on Algorithms
A polynomial-time approximation scheme for maximizing the minimum machine completion time
Operations Research Letters
Research note: Online vector scheduling and generalized load balancing
Journal of Parallel and Distributed Computing
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We present a general framework for vector assignment problems. In such problems one aims at assigning n input vectors to m machines such that the value of a given target function is minimized. While previous approaches concentrated on simple target functions such as max-max, the general approach presented here enables us to design a polynomial time approximation scheme (PTAS) for a wide class of target functions. In particular, thanks to a novel technique of preprocessing the input vectors, we are able to deal with nonmonotone target functions. Such target functions arise in vector assignment problems in the context of video transmission and broadcasting.