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LIFT-AND-ROUND TO IMPROVE WEIGHTED COMPLETION TIME ON UNRELATED MACHINES.
- Source :
-
SIAM Journal on Computing . 2021, Vol. 50 Issue 3, p138-159. 22p. - Publication Year :
- 2021
-
Abstract
- We consider the problem of scheduling jobs on unrelated machines so as to minimize the sum of weighted completion times. Our main result is a (3/2 c)-approximation algorithm for some fixed c > 0, improving upon the long-standing bound of 3/2. To do this, we first introduce a new lift-and-project-based SDP relaxation for the problem. This is necessary, as the previous convex programming relaxations have an integrality gap of 3/2. Second, we give a new general bipartiterounding procedure that produces an assignment with certain strong negative correlation properties. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONVEX programming
*ALGORITHMS
*MACHINERY
*APPROXIMATION algorithms
*TIME
Subjects
Details
- Language :
- English
- ISSN :
- 00975397
- Volume :
- 50
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Computing
- Publication Type :
- Academic Journal
- Accession number :
- 151360155
- Full Text :
- https://doi.org/10.1137/16M1099583