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受参考价格影响的变质产品销售最优动态价格和保存技术投资的联合策略研究

袁晓1, 肖瑾2   

  1. 1. 岭南师范学院 数学与统计学院, 湛江 524048;
    2. 中山大学 数据科学与计算机学院, 广州 510006
  • 收稿日期:2016-12-22 出版日期:2017-12-15 发布日期:2017-11-13
  • 通讯作者: 袁晓
  • 基金资助:

    广东省自然科学基金(2016A030307017),博士后基金(2016M602579)资助项目.

袁晓, 肖瑾. 受参考价格影响的变质产品销售最优动态价格和保存技术投资的联合策略研究[J]. 计算数学, 2017, 39(4): 363-377.

Yuan Xiao, Xiao Jin. RESEARCH ON COMBINED THE OPTIMAL DYNAMIC PRICE AND PRESERVATION TECHNOLOGY INVESTMENT STRATEGY FOR THE DETERIORATING PRODUCTS SALES WITH THE INFLUENCE OF THE REFERENCE PRICES[J]. Mathematica Numerica Sinica, 2017, 39(4): 363-377.

RESEARCH ON COMBINED THE OPTIMAL DYNAMIC PRICE AND PRESERVATION TECHNOLOGY INVESTMENT STRATEGY FOR THE DETERIORATING PRODUCTS SALES WITH THE INFLUENCE OF THE REFERENCE PRICES

Yuan Xiao1, Xiao Jin2   

  1. 1. School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang 524048, China;
    2. School of Data and Computer Science, Sun Yat-Sen University, Guangzhou 510006, China
  • Received:2016-12-22 Online:2017-12-15 Published:2017-11-13
参考价格一直在顾客购买决策中扮演着一个很重要的角色.首先,本文考虑参考价格的影响,针对一个变质产品的库存系统,建立一个联合考虑动态价格和保持技术投资的非线性规划模型,用来决定动态售出价格、保存技术投资和补给策略,使得零售商总利润最大化;然后,针对变质库存问题,推导出理论结果且阐述最优解的存在性;最后,针对所提出的模型给出一个逐次逼近优化算法,通过数值实验显示该算法是有效的.
The reference prices usually play a substantial role in customer purchase decisions. In this paper, aiming to the inventory systems about deteriorating products, a nonlinear programming model, combining the dynamic price with preservation technology investments, is built. One is used to determine the dynamic sales price, preserve technology investments and replenish strategy, for the maximize profits acquired by retailers. After that, some theoretical results are derived, and the existence of optimal solution is given. Finally, the model is effectively solved by a sequential approximate optimization algorithm by means of numerical tests.

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