单周期替代性产品的联合定价策略  

Joint Pricing Decision of Single-Period Substitutable Products

作　　者：杨慧[1] 宋华明[1] 

机构地区：[1]南京理工大学经济管理学院,南京210094

出　　处：《数学的实践与认识》2008年第23期65-70,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金项目(70872047);江苏省教育厅高校哲学社会科学基金项目(08SJD6300066;07SJD630043)

摘　　要：研究了存量固定、需求服从正态随机分布的单周期替代性产品的联合定价决策问题,证明了目标函数在两个决策变量上均为单峰函数,由此给出了两层嵌套的一维搜索算法;算例说明了该优化模型能够显著提高企业利润水平,同时对市场需求的随机波动程度、产品存量等参数进行了灵敏度分析.This paper considers how a company that provides substitutable products would determine the optimal prices. The problem is considered as an extension of the classical newsboy problem where a stochastic price-demand distribution relationship exists for both products. It is proved that the profit function is unimodal over both decision variables. Hence the nested one-dimension search method is used for optimization. The numerical example demonstrates the substantial improvement in performance by optimization. It also analyzes the effects of some parameters including the distribution＇s deviation, the capacity levels and the salvage value of both products.

关 键 词：定价 报童模型 替代性产品 

分 类 号：F274[经济管理—企业管理] F224[经济管理—国民经济]