Joint optimization of dynamic lot and warehouse sizing problems

We consider an integrated model of inventory and warehousing decisions for a single product. In this model, dynamic lot size decisions are considered under constraints of the warehouse size that can be either increased or decreased at the beginning of each period. The ordering cost is typically a fixed cost and the holding cost is assumed to be a linear function. Each adjustment of the warehouse size incurs a fixed-plus-linear adjustment cost. A lease cost has to be paid for the warehouse size in each period. We provide an efficient algorithm to solve the problem. Further, we present computational experiments that show the efficiency of the algorithm and the effectiveness of the model.