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

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Inventory Management with Auctions and Other Sales Channels: Optimality

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 th...

(s, S) Optimality in Joint Inventory-Pricing Control: An Alternate Approach

We study a stationary, single-stage inventory system, under periodic review, with fixed ordering costs and multiple sales levers (such as pricing, advertising, etc.). We show the optimality of (s, S)-type policies in these settings under both the backordering and lost-sales assumptions. Our analysis is constructive, and is based on a condition which we identify as being key to proving the (s, S...

One-for-One Period Policy and its Optimal Solution

In this paper we introduce the optimal solution for a simple and yet practical inventory policy with the important characteristic which eliminates the uncertainty in demand for suppliers. In this new policy which is different from the classical inventory policies, the time interval between any two consecutive orders is fixed and the quantity of each order is one. Assuming the fixed ordering cos...

Optimality of State-dependent (s; S ) Policies in Inventory Models with Markov-modulated Demand and Lost Sales

Markov-modulated processes have been used in stochastic inventory models with setup costs for modeling demand under the innuence of uncertain environmental factors, such as uctuat-ing economic and marketing conditions. The analyses of these models have been carried out in the literature only under the assumption that unsatissed demand is fully backlogged. We study a Markovian demand model in th...