Optimal Production Policy for an Item with Shortages and Increasing Time-varying Demand
针对有限计划期内需求随时间增长且允许缺货的物料，研究如何调整生产率以最小化总系统成本，并给出线性增长需求下的求解步骤和数值例子。
A new production-inventory model is developed for an item with increasing time-varying demand during a finite planning period. We assume that shortages are fully backordered, and the cost of adjusting the production rate depends on the magnitude of the change in the production rate. The objective is to find the optimal policy of adjusting the production rate in order to minimize the total system cost. A solution procedure is presented and a numerical example is provided for the special case of linearly increasing demand.