Scheduling with common due date, earliness and tardiness penalties for multimachine problems: A survey

The just-in-time production philosophy has led to a growing interest in scheduling problems considering both earliness and tardiness penalties. Most publications considering these so-called non-regular objective functions are devoted to single machine problems. In the case of multi-machine problems, there are some papers dealing with parallel machine problems. However, for multi-operation scheduling problems such as shop scheduling problems, investigations have begun only recently. In this paper, inspired by recent own work (partly yet unpublished), we survey some results on multi-machine scheduling problems with a given common due date, where the focus is on possible approaches for shop scheduling problems.