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The Dynamic Newsvendor Model with Correlated Demand

机译:具有相关需求的动态报童模型

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摘要

The classic newsvendor model was developed under the assumption that period-to-period demand is independent over time. In real-life applications, the notion of independent demand is often challenged. In this article, we examine the newsvendor model in the presence of correlated demands. Specifically under a stationary AR(1) demand, we study the performance of the traditional newsvendor implementation versus a dynamic forecast-based implementation. We demonstrate theoretically that implementing a minimum mean square error (MSE) forecast model will always have improved performance relative to the traditional implementation in terms of cost savings. In light of the widespread usage of all-purpose models like the moving-average method and exponential smoothing method, we compare the performance of these popular alternative forecasting methods against both the MSE-optimal implementation and the traditional newsvendor implementation. If only alternative forecasting methods are being considered, we find that under certain conditions it is best to ignore the correlation and opt out of forecasting and to simply implement the traditional newsvendor model.
机译:经典的新闻供应商模型是在以下假设条件下开发的:周期需求与时间无关。在实际应用中,独立需求的概念经常受到挑战。在本文中,我们将在存在相关需求的情况下检查新闻供应商模型。特别是在固定的AR(1)需求下,我们研究了传统新闻供应商实施与基于动态预测的实施的性能。我们从理论上证明,与传统实现相比,在节省成本方面,实现最小均方误差(MSE)预测模型将始终具有改进的性能。鉴于移动平均法和指数平滑法等通用模型的广泛使用,我们将这些流行的替代预测方法的性能与MSE最佳实现和传统新闻供应商实现进行了比较。如果仅考虑替代的预测方法,我们发现在某些条件下,最好忽略相关性并选择退出预测,并简单地实现传统的新闻供应商模型。

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