Bicriteria scheduling problem on parallel machine

This paper shows the parallel machine scheduling problem with sequence dependent setup times. The purpose is to schedule the jobs to minimize the weighted sum of average completion time and average tardiness of the jobs. The aim is to maintain a good service with minimum work in process. This research analyzes the behaviour of six simple heuristics easily to implement for practitioners which are the combination of three simple procedures to obtain an initial solution and two improvement procedures; one that acts on a neighbourhood formed from the sequences for each machine and another that acts on the neighbourhood established from the sequences in each machine. The results show that the second improvement procedure, which is closer to the matter of the problem, leads to better results. According to this result, the performance of the initial procedures, when the weighted of the two criteria are varied, has been studied. The results of the test show that, for more balanced criteria, the initial procedures which consider those criteria lead to better results.