| Issue |
RAIRO-Oper. Res.
Volume 50, Number 4-5, October-December 2016
Special issue - Advanced Optimization Approaches and Modern OR-Applications
|
|
|---|---|---|
| Page(s) | 681 - 687 | |
| DOI | https://doi.org/10.1051/ro/2016021 | |
| Published online | 03 November 2016 | |
Improving the solution complexity of the scheduling problem with deadlines: A general technique∗
1 Bar Ilan University, Ramat Gan, Israel.
amir.elalouf@biu.ac.il
2 Ashkelon Academic College, Ashkelon, Israel.
Received:
2
June
2015
Accepted:
23
February
2016
The aim of this paper is to develop improved polynomial-time approximation algorithms belonging to the family of the fully polynomial time approximation schemes (FPTAS) for a group of scheduling problems. In particular, the new technique provides a positive answer to a question posed more than three decades ago by Gens and Levner [G.V. Gens and E.V. Levner, Discrete Appl. Math. 3 (1981) 313–318]: “Can an epsilon-approximation algorithm be found for the minimization version of the job-sequencing-with-deadlines problem running with the same complexity as the algorithms for the maximization form of the problem?”
Mathematics Subject Classification: 41A29 / 41A10 / 65D15 / 65Y10 / 68Q25
Key words: Job-sequencing-with-deadlines scheduling problem / approximation algorithm / FPTAS
© EDP Sciences, ROADEF, SMAI 2016
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