凸需求函数,凸分布与多种价格并存的优化模型
首发时间:2006-02-13
摘要:建立了商品销售中的凸需求函数,凸分布和多种价格并存的优化模型。首先将已有文献中的二次需求函数模型推广为一般的凸需求函数模型,证明了需求最大价是利润增长价,而利润最大价是需求下降价。其次,提出了价格的凸分布模型,并给出了期望价格,风险和期望收益的计算公式。再次,在凸需求函数模型下给出多种价格并存的非线性规划模型。最后,通过纯净水的销售实例验证了结果。
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Convex Function of Demand, Convex Distribution of Price and An Optimal Model of Coexistence of Multi-prices
Abstract:Convex function of demand, convex distribution of price and an optimal model of coexistence of multi-prices are estimated. At first, the quadratic function model of demand in a reference is extended to a general convex one. It is proved that the price with maximal demand is increases the profits and that the price with maximal profit decreases the profits. Second, a convex distribution model for price is proposed. The formulae for expectation price, risk and income are given. Third, a nonlinear programming model for the coexistence of multi-prices is given based on the convex function model. Finally, the results are verified by an example for sale of purified water.
Keywords: Convex function of demand, convex distribution and optimal model
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No.5211269781139800****
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