随机需求条件下多商品混合运输供应链网络均衡模型及其求解方法  

Solution Method for Multi-Commodity Supply Chain Network Equilibrium Model with Mixed Transportation under Random Demand

作　　者：白敏茹[1] 魏如莹[2] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082 [2]国防科学技术大学理学院,湖南长沙410073

出　　处：《湖南大学学报（自然科学版）》2013年第3期99-103,共5页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(61171018);中国博士后特别资助项目(201003508);湖南省自然科学基金资助项目(12JJ6003)

摘　　要：研究了随机需求环境下具有相互关联的多种商品供应链网络均衡问题.在研究多商品混合运输的同时考虑了需求的不确定性,建立了具有商品交叉运输成本的随机多商品混合运输供应链网络均衡模型,分析了交叉运输成本和罚金对供应链的影响;建立了求解随机多商品混合运输供应链网络均衡模型的投影压缩算法,获得了收敛性结果;数值实例证实了该模型及其求解算法的有效性,同时表明,对于该模型的求解,所运用的投影压缩算法优于普遍采用的修正投影算法和拟牛顿算法.A supply chain network equilibrium problem with correlative multi-commodity with random demand was investigated, and multi-commodity with mixed transportation and uncertainty of market de- mand were considered. A stochastic supply chain network equilibrium model with mixed transportation of multi-commodity was proposed, and cross transportation costs and fines on the impact of supply chain net- work was analyzed. A projection and contraction method was applied to solve the proposed supply chain model. It is provedd to be convergent to the solution of the stochastic supply chain network equilibrium model. A numerical practical example shows that the model and the method are effective. It also shows that the projection and contraction algorithm is better than modified projection method and quasi-Newton method in solving the supply chain network equilibrium model.

关 键 词：供应链 网络均衡 多商品混合运输 随机市场需求 投影压缩算法 

分 类 号：F224[经济管理—国民经济]