RT info:eu-repo/semantics/article T1 Best pricing and optimal policy for an inventory system under time-and-price-dependent demand and backordering. A1 San-José Nieto, Luis Augusto A1 Sicilia Rodríguez, Joaquín A1 González de la Rosa, Manuel A1 Febles Acosta, Jaime K1 Inventory system K1 Optimal pricing K1 Profit maximization K1 Power demand pattern K1 Backordering AB In this paper, we study an inventory system for products where demand depends on time andprice. Shortages are allowed and are fully backordered. We suppose that the demand rate isthe product of a power time pattern and a three-parametric exponential price function. Theobjective is to determine the economic lot size, the optimal shortage level and the best sellingprice to maximize the total profit per unit time. We present an efficient procedure to determinethe optimal solution of the inventory problem for all possible scenarios. This procedure isillustrated with several numerical examples. A sensitivity analysis of the optimal inventorypolicy with respect to the parameters of the demand rate function is also given. Finally, themain contributions of this paper are highlighted and future research directions are introduced. SN 1572-9338 YR 2020 FD 2020 LK http://riull.ull.es/xmlui/handle/915/35773 UL http://riull.ull.es/xmlui/handle/915/35773 LA en DS Repositorio institucional de la Universidad de La Laguna RD 27-jun-2024