中文摘要：

考虑两平行供应链系统，建立了需求依赖于两种产品价格的需求函数模型，分析了平行供应链交互作用对牛鞭效应的影响。研究表明：（1）供应链交互作用可能增加或减弱牛鞭效应。（2）对于具有产品可替代性的两竞争型供应链系统，若产品价格交互敏感性不强，则较大协方差的引入可以抑制牛鞭效应。（3）对于具有产品互补性的两合作型供应链系统，若产品价格交互敏感性较强，则较小协方差的引入可以抑制牛鞭效应。

英文摘要：

Considering two-parallel supply chains, this paper studies the demand model that depends on two prod- uct prices and analyses the impact of interactions on the bullwhip effect in two-parallel supply chains. The results reveal that： （1）The interactions between the two supply chains may increase or dampen the bullwhip effect. （2） When the two-parallel supply chains are competitors due to product substitutability, if the product in one supply chain has a small interacting price sensitivity coefficient, then the interaction can dampen the bullwhip effect when the price evolution covarianee between the two supply chains is large. （3） When the two-parallel supply chains are partners or their products are complementary, if the product in one supply chain has a large absolute interacting price sensitivity coefficient, then the interaction can dampen the bullwhip effect when the price evolution covariance between the two supply chains is small.