Abstract
In this paper, we consider parallel identical machines scheduling problems with a deteriorating maintenance activity. In this model, each machine has a deteriorating maintenance activity, that is, delaying the maintenance increases the time required to perform it. We need to make a decision on when to schedule the deteriorating maintenance activities and the sequence of jobs to minimize total completion time. We provide a polynomial time algorithm to solve the total completion time minimization problem.
Acknowledgements
We are grateful to two anonymous referees for their helpful comments on an earlier version of this paper. This research was partially supported by a research grant from the Program of National Natural Science Foundation of China (No. 70902033 and 11001181) and a research grant from the Doctoral Program Foundation of Liaoning Province of China (No. 20081093).