Intuition may lead to the hypothesis that in stochastic inventory systems a higher demand variability results in larger variances and in an increase of total expected system costs. In a recent paper, Song [5] formally proved this assertion to hold for a certain class of inventory models (including the Newsboy Problem), given a particular definition of variability. Here we use stochastic dominan...

In this paper we consider a single inventory (newsboy) problem in which the vendor has a limited amount of funds to purchase items to sell. We assume that the manufacturer will either sell the items to the vendor outright or offer the items to the vendor on a revenue sharing (consignment) basis. In the latter case, that amount of money the vendor pays per unit is less than if the items are purc...

In contrast to the classical newsboy-style problem, this paper develops a model for the multiple-item budget-constraint newsboy problem considering a reservation policy to meet marketing needs. A discount rate is provided to those customers who are willing to make a reservation. In addition to the demand from the original customers, extra demand is also included in the model due to the motivati...

New theoretical foundations for analyzing the newsboy problem under incomplete information about the probability distribution of random demand are presented. Firstly, we reveal that the distribution-free newsboy problem under the worst-case and best-case demand scenarios actually reduces to the standard newsboy problem with demand distributions that bound the allowable distributions in the sens...

A single period inventory problem, also known as the newsboy problem, is to final optimal order quantity for maximizing the newsboy’s expected profit under demand uncertainty. We extend the problem by considering suppliers’ quantity discounts and a resource-capacity constraint. A Lagrangian heuristic is developed to solve the problem with a large number of products. A preliminary numerical resu...