Minimizing mean flow time with release time constraint
Theoretical Computer Science
On Preemptive Scheduling of Unrelated Parallel Processors by Linear Programming
Journal of the ACM (JACM)
Scheduling independent tasks to reduce mean finishing time
Communications of the ACM
Scheduling chain-structured tasks to minimize makespan and mean flow time
Information and Computation
Faster algorithms for semi-matching problems
ICALP'10 Proceedings of the 37th international colloquium conference on Automata, languages and programming
How useful are preemptive schedules?
Operations Research Letters
Reoptimization of the minimum total flow-time scheduling problem
MedAlg'12 Proceedings of the First Mediterranean conference on Design and Analysis of Algorithms
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We show that the problems of minimizing total completion time and of minimizing the number of late jobs on unrelated parallel machines, when preemption is allowed, are both NP-hard in the strong sense. The former result settles a long-standing open question.