question archive Whenever overtime production needs to be scheduled, the traditional practice has been to schedule it on machines that are most efficient for the part being produced
Whenever overtime production needs to be scheduled, the traditional practice has been to schedule it on machines that are most efficient for the part being produced
Subject:MathPrice: Bought3
Whenever overtime production needs to be scheduled, the traditional practice has been to schedule it on machines that are most efficient for the part being produced. This has often led to uneven overtime assignment in the sense that long hours of overtimes are scheduled on one or two machines while other machines remained idle. While this resulted in lower total overtime paid to production personnel, it often resulted in higher overall costs because of the overtime costs of the required support personnel such as administrative assistants ,electricians, material handlers and quality control technicians. Their presence is necessary as long as production is in process, irrespective of the number of machines operating. Avi wondered if it would be more economical to schedule production on more machines over the weekend and minimize the total duration for which overtime production takes place. Modify your model to minimize the total duration of overtime production (i.e., maximum of the overtimes on all machines) rather than the sum of overtimes on all machines. Compare the optimal production schedule obtained with the new objective with that for question 2 (minimizing overtime for all machines) and then discuss the nature of changes in the optimal solution.
