中文摘要：

研究提前期敏感商品的销售商采购提前期压缩与库存优化问题。分别假设单位采购成本函数为分段线性函数和光滑幂函数，应用国外研究关于销售提前期的结论，建立了销售商的最大利润函数数学模型。通过数学推导及证明的方法得到最优采购提前期，又通过问题的转化求解最优采购提前期下的最优价格和最大利润。最后通过数值实验的方法对销售商采购提前期及库存决策进行分析，数据分析得到了一些销售商提前期和库存最优决策的规律。

英文摘要：

This paper researches into seller＇s procurement lead time reduction and inventory optimization with lead-time- sensitive demand. Piece-wise linear lead time reduction cost function and smooth power lead time reduction cost function were separately assumed to build the seller＇s expected profit function. By mathematic deducing and proving, we got the optimal procurement lead time and by transforming problem we solved the sales price and profit problem. Finally, by using numerical experiment method, the seller＇s procurement lead time and inventory decision were analyzed and some useful conclusions were drawn from the data