Minimizing Weighted Completion Times with Deadlines
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TL;DR
A one-machine scheduling problem whose objective is to minimize the weighted sum of completion times, subject to deadline constraints is examined, and current known theory is synthesized and extended, and precedence relations between jobs are derived.
Abstract
We examine a one-machine scheduling problem whose objective is to minimize the weighted sum of completion times, subject to deadline constraints. We synthesize and extend current known theory, and derive precedence relations between jobs. These relationships, along with tight new bounding criteria, are incorporated in a branch and bound solution procedure.
