| 易变质产品双边定价库存模型研究 |
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| 引用本文： | 刘国胜,邱杰文. 易变质产品双边定价库存模型研究[J]. 价值工程, 2012, 31(22): 6-9 |
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| 作者姓名： | 刘国胜 邱杰文 |
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| 作者单位： | 1. 广东工业大学管理学院,广州,510520
2. 华南理工大学数学系,广州,510641 |
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| 基金项目： | 教育部人文社会科学基金,广东工业大学博士启动基金 |
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| 摘 要： | 本文研究易变质产品库存模型中供货阶段和订货阶段之间的价格差异,引进双边定价的概念,提出一种新的基于易变质产品的双边定价库存模型。新模型以利润最大化为目标,寻求供货阶段和订货阶段的价格均衡条件和时间均衡条件。文中通过严格的数学推导,证明了目标函数最优解的存在性和唯一性。在这基础上,提出一种基于利润最大化的求解最优价格和最优时间比例系数的数值优化算法。实验结果证明了该数值算法具有快速收敛的特性,同时说明了该模型的合理性和有效性。
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| 关 键 词： | 库存模型 双边定价 易变质产品 数值优化算法 |
Analysis of a Novel Double-pricing Inventory Model for Deteriorating Items |
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| LIU Guo-sheng , QIU Jie-wen. Analysis of a Novel Double-pricing Inventory Model for Deteriorating Items[J]. Value Engineering, 2012, 31(22): 6-9 |
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| Authors: | LIU Guo-sheng QIU Jie-wen |
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| Affiliation: | LIU Guo-sheng;QIU Jie-wen(①School of Management,Guangdong University of Technology,Guangzhou 510520,China;②Department of Mathematics,South China University of Technology,Guangzhou 510641,China) |
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| Abstract: | Considering the distinct prices between instock and outstock stages,a novel inventory model based on double-pricing policy is proposed in this paper.The proposed model maximizes the total profits through seeking the balance point of price and the balance point of time between instock and outstock stages.It has been proved that the proposed model has the optimal policy with existence and uniqueness.Based on the derivation of mathematical formulas,a numerical algorithm for the objective of maximum total profit is presented,in which the time and price are optimized.Experimental results show that this numerical algorithm is of fast convergence,and the efficiency and applicability of the proposed model is validated. |
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| Keywords: | inventory model double-pricing policy deteriorating item numerical algorithm |
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