Uniform distribution of inventory positions in two-echelon periodic review systems with batch-ordering policies and interdependent demands

摘要

We consider a two-level inventory system in which there are one supplier and multiple retailers. The retailers face stochastic, interdependent. customer demands. Each location employs a periodic-review (R, nQ), or lot-size reorder point, inventory policy. We show that each location's inventory positions are stationary and the stationary distribution is uniform and independent of any other's.