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36

IPCO
2004

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The Constrained Minimum Weighted Sum of Job Completion Times Problem

14 years 8 days ago

The Constrained Minimum Weighted Sum of Job Completion Times Problem

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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.

Asaf Levin, Gerhard J. Woeginger

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Added	31 Oct 2010
Updated	31 Oct 2010
Type	Conference
Year	2004
Where	IPCO
Authors	Asaf Levin, Gerhard J. Woeginger

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