A Single Machine Model for Determination of Optimal Due Dates and Sequence

The problem of simultaneous determination of optimal due dates and optimal sequence for N-job single machine problem with multiple due dates is considered in this paper. The penalty for a job is assumed to be a linear function of the due date and the earliness/tardiness for the job. The objective is to minimize the total penalty for all jobs. An efficient optimal algorithm to solve the problem is developed and several results are provided.