Article ID: | iaor19971860 |
Country: | United Kingdom |
Volume: | 23 |
Issue: | 12 |
Start Page Number: | 1203 |
End Page Number: | 1210 |
Publication Date: | Dec 1996 |
Journal: | Computers and Operations Research |
Authors: | Epstein Sheldon, Wilamowsky Yonah, Dickman Bernard |
Keywords: | production: MRP |
The common due-date problem involves minimizing the absolute deviation around a common due-date. An interesting variation modifies the problem so that no penalty costs are incurred for jobs completing within the tolerance interval of the common due-date. For tolerance intervals that are less than half the execution time of the shortest job, solution techniques have been developed. However, the techniques do not extend to tolerance intervals of any arbitrarily chosen size. In this paper, for a variety of penalty functions the authors develop a polynomial time solution algorithm for any size tolerance interval. They also demonstrate how optimzing techniques developed in this paper can be applied to a common due-date problem with a partial set of fixed jobs and a predetermined common due-date.