Inventory Management with Auctions and Other Sales Channels: Optimality of (s, S) Policies

We study periodic-review inventory replenishment problems with fixed ordering costs, and show the optimality of (s, S) inventory replenishment policies. Inventory replenishment is instantaneous, i.e., the lead time is zero. We consider several sales mechanisms, e.g., auction mechanisms, name-your-own-price mechanisms, and multiple heterogeneous sales channels. We prove this result by showing that these models satisfy a recently-established sufficient condition for the optimality of (s, S) policies. Thus, this paper shows that the optimality of (s, S) policies extends well beyond the traditional sales environments studied so far in the inventory literature.