In this paper, we demonstrate how to model a discrete-time dynamic process on a non-periodic time domain with applications to operations research. We introduce a discrete-time model of inventory with deterioration on domains where time points may be unevenly spaced over a time interval. We...

Online retailers (or Internet divisions of brick and mortar retailers) often offer shipping discounts (for example “free shipping on orders above $150”) to entice customers. The premise is that the retailer will attract more customers and these customers will likely buy more per order to...

In this article, we consider single-manufacturer-single buyer supply chain problem in which the manufacturer procures raw material from outside supplier and distributes the preset amount of produced finished goods to the buyer at a fixed-time interval in multiple deliveries. An integrated model...

In this paper, we study the decision problem of a retailer, who wants to optimize the amount of shelf inventory of a particular product, given that the demand for the product is stochastic and replenishment lead times (from the store’s stockroom to the shelf) are negligible. The shelf...

We consider an inventory problem that can be translated into a two-period newsvendor setting where the day prior to sales, the newsvendor places an initial preliminary order—a semi-binding forecast—with the publisher. At the beginning of the actual day of sales, the newsvendor has a better...

This article reviews lot-size models which focus on coordinated inventory replenishment decisions between buyer and vendor and their impact on the performance of the supply chain. These so-called joint economic lot size (JELS) models determine order, production and shipment quantities from the...

The paper deals with a special type of inventory model with a one-shot supply and with a random demand in a certain period. In the paper, formulas for determination of the optimal one-shot supply are derived in the case both continuous and discrete random demand. This optimal supply ensures the...