Toptal, A.2016-02-082016-02-0820090377-2217http://hdl.handle.net/11693/22589In this study, we analyze the replenishment decisions under a general replenishment cost structure that includes stepwise freight costs and all-units quantity discounts. We first formulate a general model that accounts for a larger class of problems and prove several useful properties of the expected profit function. We later utilize these properties to develop a computational solution approach to find the optimal order quantity. As an application of the general results, we study the replenishment decisions in the single-period, i.e., the Newsboy, problem considering several scenarios that model the cost considerations either for the buyer or for both the buyer and the vendor.EnglishAll-units discountTransportationCargo capacityNewsboy model/problemArticle10.1016/j.ejor.2008.09.0371872-6860