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| 弹性需求下易变质物品定价、营销与生产计划的联合优化 | |
| 引用本文： | 刘国莉 叶同 王伟. 弹性需求下易变质物品定价、营销与生产计划的联合优化[J]. 控制与决策, 2015, 30(2): 361-365 |
| 作者姓名： | 刘国莉 叶同 王伟 |
| 作者单位： | 1. 辽宁科技大学理学院,辽宁鞍山,114051 2. 大连理工大学信息与控制研究中心,辽宁大连,116024 |
| 基金项目： | 国家自然科学基金项目(61034003)；国家青年基金项目(71301066)；辽宁省教育厅科学研究一般项目(L2013120)；辽宁科技大学国家级项目预研项目(2012YY14)；辽宁科技大学优秀科技人才基金项目 |
| 摘 要： | 针对易变质的商品，分析基于弹性需求的定价、营销及生产计划的联合优化问题，并建立用于描述该问题的非线性规划模型。考虑到模型是高度非线性的，提出基于几何规划的求解方法。首先将高度非线性的问题简化为只含有一个变量的问题；然后利用黄金分割法获得原问题高质量的近优解；最后通过算例验证了所提出求解方法的可操作性和正确性，并分析了主要参数的灵敏度。 |
| 关 键 词： | 变质率 弹性需求 联合优化 几何规划 |
| 收稿时间： | 2013-10-18 |
| 修稿时间： | 2014-03-18 |
Optimal strategies for integrated pricing, marketing and production planning with deteriorating item considering elastic demand |
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| LIU Guo-li YE Tong WANG Wei. Optimal strategies for integrated pricing, marketing and production planning with deteriorating item considering elastic demand[J]. Control and Decision, 2015, 30(2): 361-365 | |
| Authors: | LIU Guo-li YE Tong WANG Wei |
| Abstract: | A joint optimization problem of pricing, marketing and production planning for a deteriorating item considering elastic demand is studied. A nonlinear programming model is developed to describe the problem. Since the model is highly nonlinear and cannot be solved directly, a solution approach based on geometric programming is proposed. In the approach, the joint optimization problem is first reduced to an unconstrained problem in a single variable. Then the resulting problem is solved by using the linear search algorithm of golden section. Finally, a numerical example verifies the operability and correctness of the proposed approach and the sensitivity analysis of key parameters is presented. |
| Keywords: | deterioration rate elastic demand joint optimization geometric programming |
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