Introduction to algorithms
Sequencing with earliness and tardiness penalties: a review
Operations Research
Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Maximizing Weighted number of Just-in-Time Jobs on Unrelated Parallel Machines
Journal of Scheduling
Computers and Operations Research - Articles presented at the conference on routing and location (CORAL)
Maximizing the weighted number of just-in-time jobs in flow shop scheduling
Journal of Scheduling
Computers and Operations Research - Articles presented at the conference on routing and location (CORAL)
Journal of Intelligent Manufacturing
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We study the problem of nonpreemptively scheduling n jobs on m identical machines in parallel to maximize the weighted number of jobs that are completed exactly at their due dates. We show that this problem is solvable in polynomial time even if positive set-up times are allowed. Moreover, we show that if due date tolerances are permitted, then already the single-machine case is NP-hard even if all set-up times are zero and all weights are the same.