弹性需求下易变质物品定价、营销与生产计划的联合优化  

Optimal strategies for integrated pricing, marketing and production planning with deteriorating item considering elastic demand

作　　者：刘国莉[1] 叶同[1] 王伟[2] 

机构地区：[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

出　　处：《控制与决策》2015年第2期361-365,共5页Control and Decision

基　　金：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(2012RC03)

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.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.

关 键 词：变质率 弹性需求 联合优化 几何规划 

分 类 号：F253.4[经济管理—国民经济]