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| 基于批量折扣和支付时间折扣的多物品多阶段联合订购模型 | |
| 引用本文： | 汪峻萍,王圣东,周永务. 基于批量折扣和支付时间折扣的多物品多阶段联合订购模型[J]. 系统管理学报, 2010, 19(1) |
| 作者姓名： | 汪峻萍 王圣东 周永务 |
| 作者单位： | 1. 合肥工业大学,数学系,合肥,230009 2. 合肥工业大学,管理学院,合肥,230009;解放军电子工程学院,数学教研室,合肥,230037 3. 合肥工业大学,管理学院,合肥,230009 |
| 基金项目： | 国家自然科学基金资助项目(70771034;新世纪优秀人才支持计划NCET-05-0557;高等学校全国优秀博士论文作者专项基金资助项目，高等学校博士学科点专项科研基金项目，安徽省教育厅自然科学基金项目 |
| 摘 要： | 假定系统运行在有限计划期的前提下,考虑了基于3种不同形式批量折扣及支付时间折扣的多物品多阶段联合订购问题.给出了在有限计划期内每个阶段寻求多种物品最优订购批量和最佳滞后(或提前)支付货款时间的算法.并针对基本订购费用为零时,提出了一个基于动态规划方法寻求多种物品最优订购策略的更有效算法,分析了基本订购费用取不同值和供货商提供不同批量折扣方式对销售商最优订购策略和总利润的影响.最后,利用数字实例说明模型的求解过程. |
| 关 键 词： | 库存 多物品 批量折扣 支付时间折扣 动态规划订单 |
Multi-item Multi-Stage Joint Ordering Problem Based on Quantity Discount and Payment Time Discount |
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| WANG Jun-ping,WANG Sheng-dong,ZHOU Yong-wu. Multi-item Multi-Stage Joint Ordering Problem Based on Quantity Discount and Payment Time Discount[J]. Systems Engineering Theory·Methodology·Applications, 2010, 19(1) | |
| Authors: | WANG Jun-ping WANG Sheng-dong ZHOU Yong-wu |
| Affiliation: | WANG Jun-ping~(1b),WANG Sheng-dong~(1a,2),ZHOU Yong-wu~(1a)(1a.School of Management,1b.Department of Mathematics,Hefei University of Technology,Hefei 230009,China,2.Department of Mathematics.Electronic Engineering Institute of PLA,Hefei 230037,China) |
| Abstract: | This paper considers the multi-item multi-stage joint ordering problem based on three kinds of quantity discounts and payment time discount under the assumption that the time horizon of the system is finite.An algorithm for finding the optimal ordering quantity and the optimal delayed(or advanced) time of payment of each item is presented.A more efficient algorithm for finding the multi-item optimal ordering policies based on the dynamic program is provided as the basic ordering cost is zero.The effect on t... |
| Keywords: | inventory multi-item payment time discount dynamic program |
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