资金时间价值下质检不完备的生产-库存决策

The Decision of Production-Inventory Model under Inflation Environment and Quality Screening Errors

采用贴现率来衡量资金的时间价值,将资金时间价值引入到JIT生产库存模型中,探讨了质检不完备条件下由一个品牌商与一个OEM供应商构成的JIT生产—库存决策问题。分别建立了通胀环境下的品牌商成本模型、OEM供应商成本模型及集成JIT生产—库存系统总成本模型。最后进行了算例分析,给出了最优供货次数和最优供货量。敏感性分析表明最小成本随贴现率的增大而减小;随犯质检一类误差的概率增大而增大,且呈现快速增大趋势;随犯质检二类误差的概率增大而减小,但最小成本对质检二类误差不敏感;随有限计划期的延长而增大。所获结论对企业管理者在通胀环境下做出扩大生产的决策提供了依据。

In the context of inflation,time value of currency was firstly introduced into the JIT production inventory model.Based on the time value of money and the incompleteness of the quality inspection process,the decision of JIT production inventory problem was studied consisting of a brand corporation and an OEM supplier.The brand corporation＇s cost model,the OEM supplier s cost model and the integrated JIT production-inventory model were established respectively.The model was solved by Newton method.An example was given to analyze the optimal decision strategy.Sensitive analysis shows that the minimum cost decreases with the increase of the discount factor,increases with the increase of the type-Ⅰ error,and decreases with the increase of the type-Ⅱ error,while it is not sensitive with type-Ⅱ error,the minimum cost increases with the extension of the limited planning period.The conclusions provided a basis for the enterprise managers to make a reasonable decision in the context of inflation.