湖北农业科学 ›› 2021, Vol. 60 ›› Issue (10): 166-170.doi: 10.14088/j.cnki.issn0439-8114.2021.10.034

• 经济·管理 • 上一篇    下一篇

变质率呈两参数Weibull分布的肉类商品库存管理——考虑库存水平临界点

张源1,2   

  1. 1. 上海外国语大学贤达经济人文学院,上海 200083;
    2. 中国社会科学院工业经济研究所,北京 100732
  • 收稿日期:2020-06-03 出版日期:2021-05-25 发布日期:2021-05-28
  • 作者简介:张 源(1987-),男,湖北武汉人,讲师,博士,主要从事物流经济、中小企业管理研究,(电话)18521416518(电子信箱)addyzy@yeah.net。
  • 基金资助:
    上海市晨光计划项目(16CGB07); 上海高校青年教师培养资助计划2018年重点资助课题(Z20001.18.804); 教育部人文社会科学研究青年基金项目(20YJC790182)

Inventory management of meat commodities with two-parameter Weibull distribution of deterioration rate:Considering the critical point of inventory level

ZHANG Yuan1,2   

  1. 1. Xianda College of Economics & Humanities,Shanghai International Studies University,Shanghai 200083,China;
    2. Institute of Industrial Economics,Chinese Academy of Social Sciences,Beijing 100732,China
  • Received:2020-06-03 Online:2021-05-25 Published:2021-05-28

摘要: 基于物理性变质率服从两参数Weibull分布的库存管理问题,考虑库存水平临界点的因素,构建适用于肉类商品经营企业的库存控制模型,将单位时间平均库存成本最小化作为库存管理目标,给出运用Newton-Raphson迭代法等求解方法的具体推导步骤,并证明全局最优解的存在性与惟一性。通过源于市场调研数据的算例实证,验证本模型并分析变质率参数、需求率参数等一系列参数值的灵敏度。结果表明,商品的变质速度对企业的库存管理策略存在显著影响;①变质率形状参数越大,企业单次订货量需求越大;②肉类市场的需求率越大,企业单次订货量需求也越大。但当肉类商品的变质率达到一定阈值,最优订货量便基本不受变质速度变化的影响。

关键词: 库存管理, 肉类商品, Weibull分布, 库存水平临界点

Abstract: Based on the inventory management problems of physical deterioration rate obeying two-parameter Weibull distribution, considering the factor of critical point of inventory level, an inventory control model suitable for meat commodities management enterprises was constructed. The objective of inventory management was to minimize the average inventory cost per unit time. The

Key words: specific derivation steps of Newton-Raphson iterative method were given, and the global optimal solution was proved the existence and uniqueness. An example from market research data was used to verify the model and analyze the sensitivity of a series of parameters such as deterioration rate parameter and demand rate parameter. The results showed that the deterioration rate of commodities had a significant impact on the inventory management strategy of enterprises, ①the larger the shape parameter of deterioration rate was, the larger the single order quantity of enterprises also need to be, ②the larger the demand rate of meat market was, the larger the single order quantity of enterprises also need to be, ③when the deterioration rate of meat commodities reached a certain threshold, the optimal order quantity was basically not affected by the change of deterioration rate.

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