RT info:eu-repo/semantics/article T1 An inventory system with demand dependent on both time and price assuming backlogged shortages. A1 San-José Nieto, Luis Augusto A1 Sicilia Rodríguez, Joaquín A1 Alcaide López de Pablo, David K1 Inventory K1 Price and time-dependent demand K1 Backlogged demand K1 Profit optimization AB In this work we analyze an inventory model for items whose demand is a bivariate function of price and time. It is supposed that the demand rate multiplicatively combines the effects of a time-power function and a price-logit function. The aim is to maximize the profit per time unit, assuming that the inventory cost per time unit is the sum of the holding, shortage, ordering and purchasing costs. An algorithm is developed to find the optimal price, the optimal lot size and the optimal replenishment cycle. Several numerical examples are introduced to illustrate the solution procedure. SN 0377-2217 YR 2017 FD 2017 LK http://riull.ull.es/xmlui/handle/915/35772 UL http://riull.ull.es/xmlui/handle/915/35772 LA en DS Repositorio institucional de la Universidad de La Laguna RD 06-ago-2024