Sequencing a single machine with due dates and deadlines: an ILP-based approach
Abstract
We consider the problem of minimizing the weighted number of tardy jobs on a single machine where each job is also subject to a deadline that cannot be vio- lated. We propose an exact method based on a compact in- teger linear programming formulation of the problem and an effective reduction procedure that allows to solve to op- timality instances with up to 30,000 jobs in size, and up to 50,000 jobs in size for the special deadline-free case