For the lost sales inventory system we distinguish two different replenishment strategies. The simplest strategy is the classical ‘fixed reorder level’ replenishment rule: every period the inventory position in the system is raised up to a fixed quantity S. For this simple strategy we derive and test heuristics for the determination of the reorder level, given a target service level. Next we demonstrate that it may be more efficient in a lost sales system to use a different replenishment strategy. This alternative replenishment strategy however is more complex. Therefore a comparison is made between the two replenishment strategies in a lost sales environment, to get an indication of the price which has to be paid here for simplicity.
Donselaar, van, K. H., Kok, de, A. G., & Rutten, W. G. M. M. (1996). Two replenishment strategies for the lost sales inventory model: a comparison. International Journal of Production Economics, 46(47), 285-295. https://doi.org/10.1016/0925-5273(95)00066-6