Abstract:This paper studies the purchasing strategies of large scientific engineering manufacturers under the condition of risk, and discusses the influence of uncertainty of demand and supply on the optimal purchasing decision of manufacturers. Under the conditions of uncertain demand, uncertain supply, uncertain demand and supply simultaneously, the invisible expression of optimal purchasing quantity of manufacturer is obtained, assuming that the demand and supply functions are uniformly distributed. The explicit expression of the optimal order quantity is calculated in three cases, the optimal order quantity is analyzed statically, and the optimal purchase quantity and the optimal profit are compared. Finally, the validity of the model is verified by numerical analysis.