线性需求系统多元相关产品的定价模型

文章探讨了建立文题模型的可能性。将Hill的最优条件在线性需求系统的假设下作了进一步的推广,由此导出的静态定价模型,当系统条件已知,且各产品成本为常数时可直接给出理论上的最优价格组合。为解决企业长期经营决策问题,文章继而应用现代控制理论建立了一个多阶段多产品的动态定价模型,导出了该离散系统控制问题的最优条件以及模型数值解的求算程序。最后结合一个案例,说明了该定价模型的应用前景。

Pricing models for multi-related products in a linear demand system

This paper discusses the possibility of establishing an optimal title pricing model. Itbegins with developing a stable pricing model by extending Hill's optimal conditions un-der the assumption of linear demand relationship. The model can be used to get the optimalprice mix directly when a system is given and the production costs are constants. In orderto solve the problems of a long-term pricing, the paper further develops a multi-stage dy-namic pricing model and the optimal conditions of such a controlling system. A calcula-tion program for the quantitative solution is given. It finally introduces an empirical casestudy which shows how the models established here can be used by enterprise in multi-product pricing decision-making.