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| 带有可变库存费的变质性物品的部分延期供给的库存控制模型 | |
| 引用本文： | 王海芳,蔡英杰,杨志林. 带有可变库存费的变质性物品的部分延期供给的库存控制模型[J]. 大学数学, 2012, 28(3): 64-69 |
| 作者姓名： | 王海芳 蔡英杰 杨志林 |
| 作者单位： | 1. 合肥经济技术职业学院,合肥230031 六安第二中学,合肥230009 2. 合肥工业大学数学学院,六安,237005 3. 六安第二中学,合肥,230009 |
| 摘 要： | 传统的库存控制模型都视需求率为常数,在这篇文章中,放松了这个假定,研究了库存费的两种可能的变化:(i)库存费的变化率为存储时间的函数;(ii)库存费的变化率为库存量的函数.在模型中允许短缺发生且假定短缺部分延期供给,且在需求率线性依赖于库存水平的情形下,发展了两个变库存费的库存控制模型. |
| 关 键 词： | 变质 部分延期供给 库存费 需求依赖于库存 |
Inventory Model for Perishable Items with Variable Holding Cost and Partial Backlogging |
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| WANG Hai-fang,CAI Ying-Jie,YANG Zhi-lin. Inventory Model for Perishable Items with Variable Holding Cost and Partial Backlogging[J]. College Mathematics, 2012, 28(3): 64-69 | |
| Authors: | WANG Hai-fang CAI Ying-Jie YANG Zhi-lin |
| Affiliation: | 1.Hefei Economic Technic Vocational College,Hefei 230031,China; 2.Lu’an No.2 Middle School,Lu’an 237005,China; 3.Hefei University of Techonology,Hefei 230009,China) |
| Abstract: | In the traditional inventory models,there exists a common assumption that the holding cost is constant.In the paper,we relax this assumption and two possibilities are considered :(i)A non-linear function of the length of time the item;(ii) A non-linear function of the amount of on-hand inventory.we develop two inventory models for deteriorating items with stock-dependent demand in which shortages are allowed to occur and partial backlogged.The proofs are provided for the existence and uniqueness of optimal replenishment schedule a certain condition. |
| Keywords: | perishable items partial backlogging holding cost stock-dependent demand |
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