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A job is called just-in-time if it is completed exactly on its due date. Under multi-slot conditions, each job has one due date per time slot and has to be completed just-in-time on one of its due dates. Moreover, each job has a certain weight per time slot. We would like to find a just-intime schedule that maximizes the total weight under multi-slot conditions. In this paper, we prove that this problem is NP-hard. key words: scheduling, just-in-time, time slot, weight, NP-hard

Maximizing the Total Weight of Just-In-Time Jobs under Multi-Slot Conditions Is NP-Hard