The Constrained Minimum Weighted Sum of Job Completion Times Problem
نویسندگان
چکیده
We consider the problem of minimizing the weighted sum of job completion times on a single machine (subject to certain job weights) with an additional side constraint on the weighted sum of job completion times (with respect to different job weights). This problem is NP-hard, and we provide a polynomial time approximation scheme for this problem. Our method is based on Lagrangian relaxation mixed with carefully guessing the positions of certain jobs in the schedule.
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عنوان ژورنال:
- Math. Program.
دوره 108 شماره
صفحات -
تاریخ انتشار 2004