| 需求依赖库存且有时变短缺拖后率的非立即变质物品库存模型 |
| |
| 引用本文： | 何伟 徐福缘. 需求依赖库存且有时变短缺拖后率的非立即变质物品库存模型[J]. 计算机应用, 2013, 33(8): 2390-2393 |
| |
| 作者姓名： | 何伟 徐福缘 |
| |
| 作者单位： | 1. 安徽财经大学 统计与应用数学学院,安徽 蚌埠 2330302. 上海理工大学 管理学院,上海 200093; |
| |
| 基金项目： | 国家自然科学基金资助项目;上海市一流学科资助项目;上海市研究生创新基金资助项目 |
| |
| 摘 要： | 研究了时变短缺部分拖后条件下非立即变质性物品的库存补给模型，其中物品的变质率随时间变化而变化。当库存水平为正值时，市场需求受销售价格影响；当库存为负值时，不能满足的需求被部分拖后，拖后率与在缺货期间已经发生的缺货量有关。通过考虑短缺拖后率和变质率同时随时间变化对库存补给策略的影响，建立具有短缺量部分拖后的非立即变质性物品的库存模型，并且给出模型最优解存在的必要条件,得到一类更加符合实际情形的库存模型。最后，用数值算例说明模型的实际应用。
|
| 关 键 词： | 库存 变质物品 短缺量拖后率 需求依赖库存 |
| 收稿时间： | 2013-02-26 |
| 修稿时间： | 2013-03-30 |
Inventory model for deteriorating items with time-dependent partial backlogging rate and inventory-level-dependent demand rate |
| |
| HE Wei XU Fuyuan. Inventory model for deteriorating items with time-dependent partial backlogging rate and inventory-level-dependent demand rate[J]. Journal of Computer Applications, 2013, 33(8): 2390-2393 |
| |
| Authors: | HE Wei XU Fuyuan |
| |
| Affiliation: | 1. Business School, University of Shanghai for Science and Technology, Shanghai 200093, China2. School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu Anhui 233030, China |
| |
| Abstract: | In this paper, a more general inventory model for deteriorating items with partial backlogging rate was developed, and the deterioration rate changed as the time was running on. When the inventory level was positive, the demand rate depended on the selling price; but when the inventory level was negative, some customers were more impatient to wait, therefore the sale opportunity was reduced and a bigger shortage led to a larger loss. With some analysis, the necessary condition for the existence of optimal solution to the general model was derived. The necessary conditions of the existence and uniqueness of the optimal solutions were introduced. At last, a case study was provided for the proposed model. |
| |
| Keywords: | inventory deteriorating item partial backlogging rate stock-dependent demand rate |
|
| 点击此处可从《计算机应用》浏览原始摘要信息 |
|
点击此处可从《计算机应用》下载全文 |
