Approximating Scheduling Machines with Capacity Constraints
Data Structures and Algorithms
2009-06-18 v1
Abstract
In the Scheduling Machines with Capacity Constraints problem, we are given k identical machines, each of which can process at most m_i jobs. M jobs are also given, where job j has a non-negative processing time length t_j >= 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. To the best of the authors' knowledge, this is the first attempt to apply Iterative Rounding Method to scheduling problem with capacity constraints.
Cite
@article{arxiv.0906.3056,
title = {Approximating Scheduling Machines with Capacity Constraints},
author = {Chi Zhang and Gang Wang and Xiaoguang Liu and Jing Liu},
journal= {arXiv preprint arXiv:0906.3056},
year = {2009}
}
Comments
this is a correction of paper to appear at FAW2009