EOQ Model for Deteriorating Items with Stock-Level-Dependent Demand Rate and Order-Quantity-Dependent Trade Credit

Min Jie; Ou Jian; Zhong Yuan-Guang; Liu Xin-Bao

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EOQ Model for Deteriorating Items with Stock-Level-Dependent Demand Rate and Order-Quantity-Dependent Trade Credit

机译：具有库存水平相关需求率和订单数量相关贸易信贷的变质项目的EOQ模型

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This paper develops a generalized inventory model for exponentially deteriorating items with current-stock-dependent demand rate and permissible delay in payments. In the model, the payment for the item must be made immediately if the order quantity is less than the predetermined quantity; otherwise, a fixed trade credit period is permitted. The maximization of the average profit per unit of time is taken as the inventory system's objective. The necessary and sufficient conditions and some properties of the optimal solution to the model are developed. Simple solution procedures are proposed to efficiently determine the optimal ordering policies of the considered problem. Numerical example is also presented to illustrate the solution procedures obtained.

机译：本文开发了一种通用库存模型，该模型具有与当前库存相关的需求率和可允许的付款延迟的指数恶化物品。在模型中，如果订购数量少于预定数量，则必须立即付款。否则，允许一个固定的贸易信贷期。将单位时间的平均利润最大化作为库存系统的目标。建立了模型最优解的充要条件和一些性质。提出了简单的解决程序，以有效地确定所考虑问题的最佳排序策略。还提供了数值示例来说明获得的求解程序。

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《Mathematical Problems in Engineering》 |2014年第21期|962128.1-962128.14|共14页
作者
Min Jie; Ou Jian; Zhong Yuan-Guang; Liu Xin-Bao;
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作者单位

Anhui Jianzhu Univ, Sch Math & Phys, Hefei 230601, Peoples R China.;

Anhui Jianzhu Univ, Sch Math & Phys, Hefei 230601, Peoples R China.;

S China Univ Technol, Sch Business Adm, Guangzhou 510640, Guangdong, Peoples R China.;

Hefei Univ Technol, Sch Management, Hefei 230009, Peoples R China.;

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1. EOQ Model for Deteriorating Items with Stock-Level-Dependent Demand Rate and Order-Quantity-Dependent Trade Credit [J] . JieMin, JianOu, Yuan-GuangZhong, Mathematical Problems in Engineering: Theory, Methods and Applications . 2014,第a期

机译：EOQ模型，用于恶化，依赖依赖需求率和订单数量依赖贸易信贷
2. EOQ model for deteriorating items with stock-dependent demand under inflation and trade credits [J] . Rakesh P. Tripathi International journal of productivity and quality management . 2017,第2期

机译：通胀和贸易信贷条件下具有库存依赖需求的变质项目的EOQ模型
3. An EOQ model of deteriorating item in imprecise environment with dynamic deterioration and credit linked demand [J] . Partha Guchhait, Manas Kumar Maiti, Manoranjan Maiti Applied Mathematical Modelling . 2015,第21期

机译：具有动态恶化和信贷联系需求的不精确环境中变质物品的EOQ模型
4. An EOQ Model of Time Quadratic and Inventory Dependent Demand for Deteriorated Items with Partially Backlogged Shortages Under Trade Credit [C] . Pushpinder Singh, Nitin Kumar Mishra, Vikramjeet Singh, Recent Advances in Fundamental and Applied Sciences Conference . 2017

机译：EOQ模型的时间二次和库存依赖性需求，对贸易信贷部分积累短缺的恶化项目
5. Inventory models for production systems with constant/linear demand, time value of money, and perishable/non-perishable items. [D] . Oganezov, Karen N. 2006

机译：具有恒定/线性需求，货币时间价值和易腐/不易腐烂物品的生产系统的库存模型。
6. Item-Focused Trees for the Detection of Differential Item Functioning in Partial Credit Models [O] . Stella Bollmann, Moritz Berger, Gerhard Tutz 2018

机译：偏信用模型中用于检测差异项目功能的基于项目的树
7. An EOQ model for a deteriorating item with non-linear demand under inflation and a trade credit policy [O] . Manna S.K., Chaudhuri K.S. 2005

机译：针对通货膨胀下的非线性需求和贸易信贷政策的恶化项目的EOQ模型

EOQ Model for Deteriorating Items with Stock-Level-Dependent Demand Rate and Order-Quantity-Dependent Trade Credit

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