Abstract:The development of Internet technology has spurred the online trading, and the quantity and mode of online trading apparently differs from the traditional trading method.Especially on Specific holiday promotions, such as Taobao "double 11" sales promotion or other flash sales activities, which make the transactions of goods booming in a short period of time. Such demand with impulsive characteristics is forcing companies to think a way out for the accurate stock-preparing and effective response to customer orders. In this paper, we reviewed research on inventory control, stochastic inventory model and inventory control of demand with pulse characteristics at home and abroad,and put forward future research direction and the meaning to respond more in line with reality through a pulse-type orders.