An algorithm for the CON due-date determination and sequencing problem
Computers and Operations Research
The single machine early/tardy problem
Management Science
Sequencing with earliness and tardiness penalties: a review
Operations Research
Earliness penalties on a single machine subject to precedence constraints
Computers and Operations Research
Single machine scheduling with assignable due dates
Discrete Applied Mathematics
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This paper considers due date assignment and sequencing for multiple jobs in a single machine shop. The processing time of each job is assumed to be uncertain and is characterized by a mean and a variance with no knowledge of the entire distribution. The objective is to minimize the combination of three penalties: penalty on job earliness, penalty on job tardiness, and penalty associated with long due date assignment. The earliness and tardiness penalties and the penalty associated with long due date assignment are all expressed quadratic functions. Heuristic procedures are developed for the objective function. The due dates and sequences obtained by these procedures depend not only on means but also variances of the job processing times. Our numerical examples indicate that the variance information of job processing times can be useful for sequencing and due date assignment decisions. In addition, the performance of the procedures proposed in this paper are robust and stable with respect to job processing time distributions.