Chen, Youhua (Frank); Lu, Ye; Xu, Minghui Optimal inventory control policy for periodic-review inventory systems with inventory-level-dependent demand. (English) Zbl 1407.90009 Nav. Res. Logist. 59, No. 6, 430-440 (2012). Summary: We consider a setting in which inventory plays both promotional and service roles; that is, higher inventories not only improve service levels but also stimulate demand by serving as a promotional tool (e.g., as the result of advertising effect by the enhanced product visibility). Specifically, we study the periodic-review inventory systems in which the demand in each period is uncertain but increases with the inventory level. We investigate the multiperiod model with normal and expediting orders in each period, that is, any shortage will be met through emergency replenishment. Such a model takes the lost sales model as a special case. For the cases without and with fixed order costs, the optimal inventory replenishment policy is shown to be of the base-stock type and of the \((s,S)\) type, respectively. Cited in 4 Documents MSC: 90B05 Inventory, storage, reservoirs Keywords:\((s,S)\) policy; emergency orders PDFBibTeX XMLCite \textit{Y. Chen} et al., Nav. Res. Logist. 59, No. 6, 430--440 (2012; Zbl 1407.90009) Full Text: DOI