具有产能和价格约束的单产品流网络均衡研究  

A Single Product Network Equilibrium With Production CapacityConstraints And Price Rigidities

作　　者：胡劲松[1] 胡小根[1] 李增强[1] 周岩[1] 张桂涛[1] 吴海翔[1] 

机构地区：[1]青岛大学管理科学与工程系,山东青岛266071

出　　处：《运筹与管理》2012年第4期227-233,共7页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(71071082);山东省自然科学基金项目(Y2008H07)

摘　　要：针对制造商存在产能约束以及需求市场中存在限制性价格上限的情形,研究了由多个相互竞争制造商与面临随机市场需求的多个相互竞争零售商组成的供应链网络均衡问题。运用变分不等式理论,分别刻画了制造商、零售商以及需求市场的最优行为,建立了供应链网络均衡模型。利用求解变分不等式的对数二次逼近的预测校正法设计了网络均衡解的求解算法。结合算例分析了产能约束和限制性价格上限对网络均衡的影响。结果表明:当政府对竞争市场实行限制性价格上限时,将导致需求市场中的商品短缺,并造成制造商和零售商的总利润减少;当存在产能限制时,将导致无价格限制的商品均衡价格更高以及需求市场中商品短缺量更大。A single product network equilibrium model is examined,which comprises noncooperative manufactures with production capacity constraints and noncooperative retailers with random demand and priee rigidities . The optimal behaviors of the various decision makers including the manufactures and the retailers and consumers are modeled via finite-dimensional variational inequality. The single product network equilibrium model is estab- lished,and an algorithm for solving the equilibrium pattern is designed via logarithmic-quadratic proximal predic- tion-correction. Numerical examples are given to illustrate the impact of the production capacity constraints and the price ceiling upon the network equilibrium. The results show that when the government imposes a binding price ceiling on competitive markets, a shortage of the g^ods will arise, and the total profit including manufacturers and the distributors and the retailers will. decrease. When the manufactures have finite production capacity, the price of the goods without the price ceiling is higher than that of having infinite production capacity, and a shortage of the goods at consumer market is more.

关 键 词：供应链网络 NASH均衡 变分不等式 对数二次逼近的预测校正算法 价格约束 

分 类 号：F224[经济管理—国民经济]