稀土企业适量积压模型与求解

Model study of appropriate backlog for rare earth plants

产品组合模型解析了稀土萃取流程的联合成本,可求出最优产品组合.在此基础上,建立了适量积压模型.根据期望销售价格、库存维持成本、资金利率等,计算了积压产品的现值.随稀土价格走势,积压产品的现值可高于、等于或低于现价,从而目标函数成为分段线性函数.模型可求解适宜积压量下现金收入或利润的极值.最后给出了计算实例.

By using a model of product mix,the formulated joint cost of rare earth extraction process was analyzed,and the optimization of product mix was attained.On the basis of the research,a model of appropriate backlog was established.Considering expectant sale price,inventory holding cost and interest rates,the present value of the backlog products was calculated.With the rare earth price fluctuation,the present value of the backlog products could be higher than,equal to and or lower than the current price,so the objective function become piecewise linear function.Accordingly,the model can address the maximum of cash income or profits at the appropriate amount of backlog.And an example was given using the model.