The paper considers the due-date assignment problem with a non-linear deterioration inwhich the due dates are determined by the equal slack method. Here, the processing time of a job isdefined by a non-linear function of total normal processing time of jobs in front of it in the sequence.The objective is to minimize the total tardiness penalties. According to the needs from the real world,the problem is divided into two cases, i.e., allowing with early jobs and no early jobs respectively. Therelated lemma, corollary and theorems for the problems are proposed and proved. At the same time, itshows that the problems in this paper can be solved in the polynomial times.
|Name||Advanced Materials Research|
|Conference||2013 International Conference on Intelligent System, Applied Materials and Control Technology, GSAMCT 2013|
|Period||13/01/13 → 15/01/13|
- Deteriorating jobs
- Slk due date
- Total tardiness penalties