Approximating Scheduling Machines with Capacity Constraints

نویسندگان

  • Chi Zhang
  • Gang Wang
  • Xiaoguang Liu
  • Jing Liu
چکیده

In the Scheduling Machines with Capacity Constraints problem, we are given k identical machines, each of which can process at most mi jobs. M jobs are also given, where job j has a non-negative processing time length tj ≥ 0. The task is to find a schedule such that the makespan is minimized and the capacity constraints are met. In this paper, we present a 3-approximation algorithm using an extension of Iterative Rounding Method introduced by Jain [4]. To the best of the authors’ knowledge, this is the first attempt to apply Iterative Rounding Method to scheduling problem with capacity constraints.

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تاریخ انتشار 2009