Single-machine scheduling with accelerating deterioration effects

Scheduling with deterioration effects has been widely investigated in the past two decades. In realistic situations, the deterioration effect might accelerate, especially in the food manufacturing industry. In this paper we propose a scheduling model with an accelerating deterioration effect. We show that the single-machine problems under the model to minimize the makespan, total completion time, total weighted completion time, maximum lateness, maximum tardiness, and total tardiness remain polynomially solvable.