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Integer preemptive scheduling on parallel machines
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Baptiste, Ph., Carlier, J., Kononov, A., Queyranne, M., Sevastyanov, S. and Sviridenko, Maxim (2012) Integer preemptive scheduling on parallel machines. Operations Research Letters, Vol.40 (No.6). pp. 440-444. doi:10.1016/j.orl.2012.06.011
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Official URL: http://dx.doi.org/10.1016/j.orl.2012.06.011
Abstract
We consider preemptive machine scheduling problems on identical parallel machines. It is shown that every such problem with chain-like precedence constraints, release dates and a regular unit-concave objective function (e.g. total weighted tardiness and total weighted number of late jobs) has the following integer preemption property: for any problem instance with integral input data there exists an optimal schedule where all interruptions (as well as starting and completion times of jobs) occur at integer time points.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
| Journal or Publication Title: | Operations Research Letters | ||||
| Publisher: | Elsevier BV | ||||
| ISSN: | 0167-6377 | ||||
| Official Date: | 2012 | ||||
| Dates: |
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| Volume: | Vol.40 | ||||
| Number: | No.6 | ||||
| Page Range: | pp. 440-444 | ||||
| DOI: | 10.1016/j.orl.2012.06.011 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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