Li, SS, Brucker, P, Ng, CT et al. (2 more authors) (2013) A note on reverse scheduling with maximum lateness objective. Journal of Scheduling, 16. 417 - 422. ISSN 1094-6136
Abstract
The inverse and reverse counterparts of the single-machine scheduling problem 1||Lmax are studied in [2], in which the complexity classification is provided for various combinations of adjustable parameters (due dates and processing times) and for five different types of norm: ℓ1,ℓ2,ℓ∞,ℓΣH , and ℓmaxH . It appears that the O(n2) -time algorithm for the reverse problem with adjustable due dates contains a flaw. In this note, we present the structural properties of the reverse model, establishing a link with the forward scheduling problem with due dates and deadlines. For the four norms ℓ1,ℓ∞,ℓΣH , and ℓmaxH , the complexity results are derived based on the properties of the corresponding forward problems, while the case of the norm ℓ2 is treated separately. As a by-product, we resolve an open question on the complexity of problem 1||∑αjT2j .
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2013, Springer. This is an author produced version of a paper published in the Journal of Scheduling. Uploaded in accordance with the publisher's self-archiving policy The final publication is available at Springer via http://dx.doi.org/10.1007/s10951-013-0314-4 |
Keywords: | Reverse scheduling; Maximum lateness |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) > Institute for Computational and Systems Science (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 18 Jun 2014 10:28 |
Last Modified: | 09 Aug 2014 03:48 |
Published Version: | http://dx.doi.org/10.1007/s10951-013-0314-4 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s10951-013-0314-4 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:79237 |