Tiwary, Hans Raj, Verdugo, Victor and Wiese, Andreas (2020) On the extension complexity of scheduling polytopes. Operations Research Letters, 48 (4). pp. 472-479. ISSN 0167-6377
Full text not available from this repository.
Identification Number: 10.1016/j.orl.2020.05.008
Abstract
We study the minimum makespan problem on identical machines in which we want to assign a set of n given jobs to m machines in order to minimize the maximum load over the machines. We prove upper and lower bounds for the extension complexity of its linear programming formulations. In particular, we prove that the canonical formulation for the problem has extension complexity 2Ω(n∕logn), even if each job has size 1 or 2 and the optimal makespan is 2.
| Item Type: | Article |
|---|---|
| Additional Information: | © 2020 Elsevier B.V. |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 10 Aug 2022 14:18 |
| Last Modified: | 02 Nov 2024 19:30 |
| URI: | http://eprints.lse.ac.uk/id/eprint/115954 |
Actions (login required)
 |
View Item |
