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一类价格调整问题的数学模型及其求解方法 被引量:2

Model and Computation of a Kind of Price Adjustment Problem
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摘要 虽然市场需求是价格的函数,但企业在价格调整实践中往往不能直接获取需求函数的具体表达式,而只能在某一给定价格水平下观察到市场需求量的值。因此,企业通常不能直接利用需求函数来调整价格以完成预期的市场需求调整的战略计划。本文将企业为达到市场需求战略调整目的而考虑的价格调整问题归结为一个隐式互补问题。在该模型中,企业可以依据自身经营战略目标的调整相应地调整各类产品的市场价格,使得价格调整后的产品销量达到预定的目标。文章给出了求解这类隐式互补问题的直接迭代法,并给出了数值结果。 Although the quantity of demand is a function of price, firms can only observe the value of demand under a fixed price level; however, in practice, they always cannot acquire the demand function directly. Thus, firms usually cannot take advantage of the demand function to adjust price for the purpose of strategic plan of market adjustment. This paper regards the price adjustment problem, which is intended to market strategic adjustment, as an implicit complementarity problem. In this model, firms might adjust prices of various products according to the business strategic objects of their own so that product sales after price adjustment could achieve scheduled objects. The article presents the direct iterative algorithm for this problem and provides numerical results.
出处 《数量经济技术经济研究》 CSSCI 北大核心 2006年第3期121-128,共8页 Journal of Quantitative & Technological Economics
关键词 价格调整 隐式互补问题 直接迭代方法 Price Adjustment Implicit Complementarity Problem Direct Iterative Algorithm
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参考文献6

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同被引文献13

  • 1张铁柱,刘志勇,滕春贤,胡运权.多商品流供应链网络均衡模型的研究[J].系统工程理论与实践,2005,25(7):61-66. 被引量:82
  • 2徐明华,叶彩鸿,何炳生.一类资源价格调控的数学模型和它的求解方法[J].系统工程,2005,23(10):92-96. 被引量:2
  • 3[1]NAGURNEY A,TOYASAKI F.Supply Chain Supernetworks and Environmental Criteria[J].Transportation Research:Part D,2003,8:185-213.
  • 4[2]NAGURNEY A,ZHANG D.Projected Dynamical Systems and Variational Inequalities with Applications[M].Boston,Massachusetts:Kluwer Academic Publishers,1996.
  • 5[3]NAGURNEY A,DONG J,ZHANG D.A Supply Chain Network Equilibrium Model[J].Transportation Research,Part E,2002,38:281-303.
  • 6[7]HE B S,LIAO L Z.Improvements of Some Projection Methods for Monotone Nonlinear Variational Inequalities[J].Journal of Optimization Theory and Applications,2002,112:111-128.
  • 7[8]KHOBOTOV E N.Modification of the Extragradient Method for Solving Variational Inequalities and Certain Optimization Problems[J].U.S.S.R.Comput.Math.Phys,1987,27:120-127.
  • 8[9]KORPELEVICH G M.The Extragradient Method for Finding Saddle Points and Other Problems[J].Ekonomikai Matematchskie Metody,1976,12:747-756.
  • 9[10]HE B S,YUAN X M,ZHANG J J Z.Comparison of Two Kinds of Prediction-Correction Methods for Monotone Variational Inequalities[J].Computational Optimization and Applications,2004,27:247-267.
  • 10陈红兵.一类具有时滞的金融系统的稳定性[J].经济数学,2014,31(1):106-110. 被引量:2

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