RT info:eu-repo/semantics/article T1 An inventory system with time-dependent demand and partial backordering under return on inventory investment maximization A1 San José Nieto, Luis Augusto A1 Sicilia Rodríguez, Joaquín A1 Pando Fernández, Valentín A1 Alcaide López de Pablo, David K1 Inventory systems K1 Sistemas de inventarios AB In this article, we study an inventory system for items that have a power demand pattern and where shortages are allowed. We suppose that only a fixed proportion of demand during the stock-out period is backordered. The decision variables are the inventory cycle and the ratio between the initial stock and the total quantity demanded throughout the inventory cycle. The objective is to maximize the Return on Inventory Investment (ROII) defined as the ratio of the profit per unit time over the average inventory cost. After analyzing the objective function, the optimal global solutions for all the possible cases of the inventory problem are determined. These optimal policies that maximize the ROII are, in general, different from those that minimize the total inventory cost per unit time. Finally, a numerical sensitivity analysis of the optimal inventory policy with respect to the system input parameters and some useful managerial insights derived from the results are presented. PB Elsevier SN 0305-0548 YR 2022 FD 2022 LK https://uvadoc.uva.es/handle/10324/53428 UL https://uvadoc.uva.es/handle/10324/53428 LA eng NO Computers & Operations Research, 2022, In Press, 105861 NO Producción Científica DS UVaDOC RD 12-sep-2024