Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1142551 | Operations Research Letters | 2010 | 6 Pages |
Abstract
We study minimizing the sum of weighted completion times in a concurrent open shop. We give a primal–dual 2-approximation algorithm for this problem. We also show that several natural linear programming relaxations for this problem have an integrality gap of 2. Finally, we show that this problem is inapproximable within a factor strictly less than 6/5 if P≠NPP≠NP, or strictly less than 4/3 if the Unique Games Conjecture also holds.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Monaldo Mastrolilli, Maurice Queyranne, Andreas S. Schulz, Ola Svensson, Nelson A. Uhan,