Lot-sizing is one of the many issues arising in the context of production planning. Its main objective is to determine the timing and level of production so as to reach the best possible trade-off between minimizing setup and inventory holding costs and satisfying customer demand. When a limited production capacity and a deterministic time-varying demand rate are assumed, lot-sizing leads to th...

In this paper, we study deterministic dynamic lot-sizing problems with service level constraints on the total number of periods in which backorders can occur over the finite planning horizon. We give a natural mixed integer programming formulation for the single item problem (LS-SL-I) and study the structure of its solution. We show that an optimal solution to this problem can be found in O(n2κ...

Despite considerable progress within wilderness and adventure therapy research over the last decade, researchers are still unable to precisely answer why, how, and for whom this treatment modality works. There is also a need for more knowledge regarding the circumstances under which the treatment does not appear to be effective. In this realist synthesis, we attempt to unpack this "black box" o...