Multi-level, single-machine lot sizing and scheduling (with initial inventory)

This paper presents a mixed-integer program for the dynamic lot sizing and scheduling problem in a multi-level, single-machine environment. It turns out that in contrast to single-level problems the integration of initial inventory is a crucial aspect if generality should not be lost. It is shown how problem instances can efficiently be solved to suboptimality by using a so-called randomized regret based heuristic.