存货影响销售率的无形变质物品库存控制模型
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引用本文:谢小良1 ,吴 莉2 ,谢冰琪2.存货影响销售率的无形变质物品库存控制模型[J].经济数学,2019,(3):34-40
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谢小良1 ,吴 莉2 ,谢冰琪2 (1.湖南工商大学 数学与统计学院湖南 长沙 4102052.湖南工商大学 大数据与互联网创新研究院,湖南 长沙 410205) 
中文摘要:为解决存储过程中价值易发生贬值的一类无形变质物品最优订货问题,建立了一种存货影响销售率的无形变质物品库存控制模型.针对零售商期初订货批量的不同水平,以库存总成本最小为优化目标,分别求得了无形变质物品库存总成本函数.鉴于这些函数中的主要部分属于超越函数,函数性质不易探明,最优解难以直接求得.为此,从严格的数学证明出发,深入探讨了函数最优解的存在性和惟一性,为进一步研究提供了理论基础.最后,通过数值算例,系统分析了模型参数对库存总成本、期初订货批量和库存更新周期的影响,并结合实际对其结果的合理性进行了解释说明.
中文关键词:管理科学与工程  库存控制  系统优化  存货影响销售率
 
Inventory Control Model for Value Deterioration Items Under Stock-Dependent Selling Rate
Abstract:In order to solve the problem of optimal ordering of a class of intangible deteriorating items whose value is prone to depreciation in the storage process, an intangible deteriorating item inventory control model with inventory affecting sales rate is established. According to the different levels of retailers' initial order quantity, the total inventory cost is the optimization goal, and the total cost of intangible goods inventory is obtained. Since the main part of these functions belongs to the transcendental function, the function property is not easy to be proved. It is difficult to find it directly. To this end, starting from the rigorous mathematical proof, the existence and uniqueness of the optimal solution of the function are discussed in depth, which provides a theoretical basis for further research. Finally, through numerical examples, the influence of model parameters on total inventory cost, initial order quantity and inventory update period is analyzed systematically, and the rationality of its results is explained.
keywords:Management science and engineering  Inventory control  Optimization  Stock-dependent selling rate
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