Minimizing the sum of weighted completion times in a concurrent open shop

  • Monaldo Mastrolilli
  • Maurice Queyranne
  • Andreas S. Schulz
  • Nelson A. Uhan
  • Ola Svensson
    • Categories (Mixed) Integer Linear Programming, Approximation Algorithms, Scheduling Tags , , , Short URL: https://optimization-online.org/?p=10592

    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 \ne NP, or strictly less than 4/3 if the Unique Games Conjecture also holds.

    Citation

    Operations Research Letters, to appear. doi:10.1016/j.orl.2010.04.011