中文摘要：

将库存管理策略划分为线性和非线性两大类，研究了在线性库存管理策略（简称LIMP策略）下，需求在供应链中的传播过程．提出了LIMP策略的概念，给出了其可行性条件，列举了3种常用的LIMP策略．假设市场需求服从自回归滑动平均（ARMA）时间序列，供应链在LIMP策略下运作，证明了各级企业的需求将也是ARMA序列，但结构不同．然后分析了LIMP策略与牛鞭效应的关系，为设计供应链环境下的最优库存管理策略提供了指导．最后用数值实验模拟了3种LIMP策略下AR（2）需求的传播过程，并进行了比较．

英文摘要：

This paper classifies inventory management policies into linear inventory management policies （LIMP） and nonlinear inventory management policies （ NIMP）, and studies the demand propagation processes in supply chains under LIMP policies. The concept and the feasible condition of LIMP policy are presented, and three kinds of familiar inventory policies are illustrated as examples of LIMP policies. Assuming that the market demand follows an autoregressive moving average （ARMA） time-series and the supply chain runs un- der LIMP policies, this paper proves that the demand of each firm follows an ARMA series of different struc- ture. Then this paper analyzes the relationship between LIMP policy and Bullwhip Effect and presents helpful advices on designing optimal inventory management policies in the circumstance of supply chains. Finally, propagation processes of an AR（2） demand under three LIMP policies are simulated and compared numerically.