不确定随机性库存优化策略研究

发布时间：2018-05-06 01:29

本文选题：(R + Q)补货策略　；参考：《中国民航大学》2017年硕士论文

【摘要】：库存成本是企业生产经营活动中的重要组成部分,也是库存管理的重要内容。传统的库存问题通常将订货提前期或产品需求视为随机变量,通过收集样本数据应用概率论方法进行研究。然而在民航生产实践中,飞机结构件更新后由于缺乏历史运营数据,其分布函数无法获得。假如用概率论来处理这种现象可能会得到不合理的结果。因此,本文以不确定理论为基础,考虑不确定环境下的库存优化策略具有实际意义。具体内容可以归纳如下:第一,建立不确定提前期环境下的连续性(R,Q)库存模型。假定需求率是一个常数,订货提前期为一个不确定变量并且服从不确定分布,决策变量为订货点和订货量,以库存系统平均成本最小为目标函数,建立库存成本的数学模型。最后,进行实例分析,得出模型的各参数对库存成本和最优订货点都有着显著影响。第二,建立不确定随机需求环境下的周期性(T,Q)库存模型。假设某零部件在原有设备的需求为随机变量,在新设备中该零部件的未来需求为不确定变量,在原设备和新设备中该零部件需求是相互独立的,并且允许缺货,给定总的需求服从机会分布,建立总利润最大化的数学模型,得到最优订货量的解析解。最后,通过数值算例进行具体分析,结果表明最优订货量会随着需求、货物成本、货物存储费用的变化而变化。
[Abstract]:Inventory cost is an important part of enterprise production and management, and also an important content of inventory management. The traditional inventory problem usually regards the lead time or product demand as random variables, and applies probability theory to research by collecting sample data. However, in the practice of civil aviation production, the distribution function of aircraft structural parts can not be obtained because of the lack of historical operation data. If we deal with this phenomenon with probability theory, we may get unreasonable results. Therefore, based on uncertainty theory and considering inventory optimization strategy in uncertain environment, this paper has practical significance. The specific contents can be summarized as follows: first, establish a continuous inventory model under uncertain lead time environment. Assuming that the demand rate is a constant, the lead time of order is an uncertain variable and the distribution of service is uncertain, the decision variable is order point and order quantity, and the minimum average cost of inventory system is taken as the objective function, the mathematical model of inventory cost is established. Finally, a case study shows that the parameters of the model have a significant impact on the inventory cost and the optimal ordering point. Secondly, the periodic TQs inventory model under the uncertain stochastic demand environment is established. Assuming that the demand for a component in the original equipment is a random variable, that the future demand for the component is an uncertain variable in the new equipment, that the demand for the component in the original equipment and the new equipment is independent of each other, and that the stock is allowed to be out of stock. Given the total demand service from the opportunity distribution, the mathematical model of maximizing the total profit is established, and the analytical solution of the optimal order quantity is obtained. Finally, through numerical examples, the results show that the optimal order quantity will vary with the demand, the cost of goods, and the cost of goods storage.
【学位授予单位】：中国民航大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：F274;O227

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