# Using dual approximation algorithms for scheduling problems: Theoretical and practical results

@article{Hochbaum1985UsingDA, title={Using dual approximation algorithms for scheduling problems: Theoretical and practical results}, author={Dorit S. Hochbaum and David B. Shmoys}, journal={26th Annual Symposium on Foundations of Computer Science (sfcs 1985)}, year={1985}, pages={79-89} }

The problem of scheduling a set of n jobs on m identical machines so as to minimize the makespan time is perhaps the most well-studied problem in the theory of approximation algorithms for NP-hard optimization problems. In this paper we present the strongest possible type of result for this problem, a polynomial approximation scheme. More precisely, for each ε, we give an algorithm that runs in time O((n/ε)1/ε2) and has relative error at most ε. For algorithms that are polynomial in n and m…

## 708 Citations

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