| 凸需求函数、凸分布与多种价格并存的优化模型 |
| |
| 引用本文： | 化存才.凸需求函数、凸分布与多种价格并存的优化模型[J].云南大学学报(自然科学版),2007,29(2):123-126. |
| |
| 作者姓名： | 化存才 |
| |
| 作者单位： | 云南师范大学,数学学院,云南,昆明,650092 |
| |
| 基金项目： | 云南省引进高层次人才工作经费资助项目，云南省自然科学基金，云南省重点学科建设项目，云南省金融数学重点学科建设项目 |
| |
| 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,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,价格的方差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.
|
| 关 键 词： | 凸需求函数 凸分布 优化模型 |
| 文章编号： | 0258-7971(2007)02-0123-04 |
| 修稿时间： | 2006年1月9日 |
Convex function of demand,convex distribution of price and an optimal model of coexistence of multi-prices |
| |
| HUA Cun-cai.Convex function of demand,convex distribution of price and an optimal model of coexistence of multi-prices[J].Journal of Yunnan University(Natural Sciences),2007,29(2):123-126. |
| |
| Authors: | HUA Cun-cai |
| |
| Institution: | School of Mathematics, Yunnan Normal University, Kunming 650092, China |
| |
| Abstract: | Convex function of demand,convex distribution of price and an optimal model for coexistence of multi-prices are established.At first,the quadratic function model of demand is extended to a general convex one.It is proved that the price with maximal demand increases the profits and that the price with maximal profit decreases the demand.Second,a convex distribution model for the price is proposed.The formulae are given respectively for the expectation price,the variance of the price and the income.Third,a nonlinear programming model is given for the coexistence of multi-prices on the basis of the convex function model.Finally,the results are verified by an example for sale of the purified water. |
| |
| Keywords: | convex function of demand convex distribution optimal model |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《云南大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《云南大学学报(自然科学版)》下载免费的PDF全文 |
|
