供应链非线性互补模型及算法分析-nonlinear complementary model and algorithm analysis of supply chain.docx

第三章三层供应链网络互补模型，此章节完全按照第二章的思路进行写 作，得到了与第二章类似的结果，区别在于第三章相关定理在维数方面比第 二章高.关键词:供应链网络均衡：交通／运输网络平衡：非线性互补： 最小二乘问题：L - M 型算法：变分不等式：供应链经济：内部供应 链竟争：随机需求：供应链管理：非线性规划：物流：多方最优化分类号:O221.2The research of nonlinear complementarity model and algorithm for Supply ChainYongpeng ZhaoShandong Normal University, Jinan, Shandong, 250014 People’s Republic of ChinaABSTRACTAlong with the rapid development of Internet, the global economy evolved into the trend of the global village, a large number of companies have begun to focus on the global world, from raw material purchase, manufacture, product etc appear network, how to efectively utilize resources, reduce costs and make com- pany to obtain the biggest economic bene?ts become more and more important, this also why the study of logistics become popular in recent years. And supply chain is the key of logistics, so the research of supply chain is necessary, including supply chain modeling, analysis, and numerical experimentation, which will be of some guidance signi?cance to decisions of company. This paper focuses on the preliminary study of mathematical methods, and supply chain variational in- equality equilibrium model further reformulated into complementary model, and then the equivalent into optimization or equations of mathematical problems, because these problems play a signi?cant role in complementary problem of solu- tion method and existence. And N ＣP function plays an important role in solving complementary problems, for it can equivalently transform the complementary problems into equations. For N ＣP function also plays a very important role in designing algorithm and discussing the convergence of algorithm, so choose the right N ＣP function is very important.The remainder of the paper is organized as follows. The ?rst chapter is in- troduction, brie?y introduce some background knowledge, literature review and our main study of supply chain. Through the study of introduction, can help reader understand the basic knowledge of su