# Two very large-scale neighborhoods for single machine scheduling

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## Abstract

In this paper, the problem of minimizing the total completion time on a single machine with the presence of release dates is studied. We introduce two different approaches leading to very large-scale neighborhoods in which the best improving neighbor can be determined in polynomial time. Furthermore, computational results are presented to get insight in the performance of the developed neighborhoods.

## Keywords

Very large-scale neighborhoods Local search Single machine## MSC Classification

90B35 68M20## Notes

### Acknowledgements

The authors are grateful to the anonymous referees for their helpful comments on an earlier draft of the paper.

Tobias Brueggemann is supported by the Netherlands Organization for Scientific Research (NWO) grant 613.000.225 (Local Search with Exponential Neighborhoods). Johann L. Hurink is supported by BSIK grant 03018 (BRICKS: Basic Research in Informatics for Creating the Knowledge Society).

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