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 K1 12 Matemáticas 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. PB Elsevier SN 0377-2217 YR 2018 FD 2018 LK https://uvadoc.uva.es/handle/10324/65886 UL https://uvadoc.uva.es/handle/10324/65886 LA eng NO European Journal of Operational Research, November 2018, vol. 270, n. 3, p. 889-897 NO Producción Científica DS UVaDOC RD 24-nov-2024