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首页> 外文期刊>International journal of production economics >Cost relationships in stochastic inventory systems: A simulation study of the (S, S -1, t=1) model
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Cost relationships in stochastic inventory systems: A simulation study of the (S, S -1, t=1) model

机译：随机库存系统中的成本关系：（S，S -1，t = 1）模型的仿真研究

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摘要

The analysis of the full stochastic model in which both the demand per unit time and the lead time are stochastic is complex. Analysis of the reduced stochastic inventory models in which only one of the parameters (either the demand per unit time or the lead time) is stochastic and the other is constant is relatively less complex. In this paper we exploit insights from vector analysis and postulate an approximation that expresses the optimal cost of the full stochastic model in terms of the optimal costs of the two reduced models. We demonstrate the adequacy of the cost relationship in the context of one specific type of inventory model-a periodic review (S, S-1, t= 1) model-by performing an extensive set of simulations, using the Poisson, the exponential, and the gamma distributions to characterize demand and lead time. We also use the simulation data to develop regression relationships between the cost and an appropriate measure of variability, such as the standard deviation, the variance, or the coefficient of variation. For the cost of the full model, we find in our computations that our approximations have 98.4% accuracy for the Poisson, 96% for the exponential, and 97% for the gamma.
机译：单位时间需求和提前期都是随机的完全随机模型的分析很复杂。减少的随机库存模型的分析相对来说，其中只有一个参数（单位时间需求或提前期）是随机的，而另一个参数是恒定的，这种分析相对来说比较简单。在本文中，我们利用了矢量分析的见解，并提出了一个近似值，该近似值根据两个简化模型的最优成本来表示完整随机模型的最优成本。我们通过使用Poisson，指数模型，模型，模型，模型和模型进行广泛的模拟，证明了在一种特定类型的库存模型（定期审查（S，S-1，t = 1）模型）的背景下成本关系的充分性。以及伽玛分布来表征需求和交货时间。我们还使用仿真数据来开发成本与适当的可变性度量（例如标准偏差，方差或变异系数）之间的回归关系。对于完整模型的成本，我们在计算中发现，我们的近似值对Poisson的准确性为98.4％，对指数的准确性为96％，对gamma的准确性为97％。

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