Abstract:

Considering the uncertain demands for medical materials at each demand point after the public health emergencies， the joint reserve and allocation problem of multiple kinds of emergency medical materials is studied with limited reserve capacity based on the condition that the demand for each kind of medical materials at each demand point obeys the independent and uniform distribution. A two-stage stochastic programming model for the joint reserve and allocation of multiple medical materials is established， the objective function is to minimize the total cost including the inventory cost of the reserve medical materials and the total expected shortage cost at each demand point. Given the parameters of demand probability distribution， the two-stage stochastic programming model is transformed into a deterministic convex quadratic programming model. The properties of the optimal solution are proposed and proved， then the optimal solution is analytical expressed. Finally， the influence of the reserve capacity change on the optimal reserve and allocation solution is analyzed， and the effectiveness of the proposed method is verified by simulation on an example generated from practical data. It provides a decision-making basis for solving the practical multiple medical materials joint reserve and allocation problem in this paper.

Key words: uncertain demands, medical materials, reserve and distribution, two-stage stochastic programming, convex quadratic programming