2026-04-30T05:17:19Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/740532025-09-24T08:27:40Zcom_10324_1176com_10324_931com_10324_894col_10324_1359

Cárdenas Barrón, Leopoldo Eduardo Mandal, Buddhadev Sicilia Rodríguez, Joaquín San José Nieto, Luis Augusto Abdul Jalbar, Beatriz 2025-01-20T08:57:48Z 2025-01-20T08:57:48Z 2021 Computers & Operations Research, 133, art. 105339 0305-0548 https://uvadoc.uva.es/handle/10324/74053 10.1016/j.cor.2021.105339 105339 Computers & Operations Research 133 Producción Científica It is well-known that the demand rate for some products depends on several factors, such as price, time, and stock, among others. Moreover, the holding cost can vary over time. More specifically, it increases with time since a long period of storage requires more expensive warehouse facilities. This research introduces an inventory model with shortages for a single product where the demand rate depends simultaneously on both the selling price and time according to a power pattern. Shortages are completely backordered. Demand for the product jointly combines the impact of the selling price and a time power function, which is performed as an addition. Furthermore, the holding cost is a power of the time that the product is held in storage. The main objective is to derive the optimal inventory policy such that the total profit per unit of time is maximized. For optimizing the inventory problem, some theoretical results are derived first to prove that the total profit function is strictly pseudo concave with respect to the decision variables. Next, an efficient algorithm that obtains the optimal solution is provided. The proposed inventory model is a general model because it contains several published inventory models as special cases. Some numerical examples are presented and solved to illustrate and validate the proposed inventory model. Also, a sensitivity analysis is conducted in order to highlight and generate significant insights. application/pdf eng info:eu-repo/semantics/restrictedAccess Elsevier Ltd. Pricing Order quantity Backlogging level Nonlinear holding cost Power demand pattern Optimizing price, order quantity, and backordering level using a nonlinear holding cost and a power demand pattern info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion https://doi.org/10.1016/j.cor.2021.105339 SI