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A simulation-based product diffusion forecasting method using geometric Brownian motion and spline interpolation

机译:一种基于模拟的产品扩散预测方法,使用几何褐色运动和花键插值

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摘要

This study addresses the problem of stochasticity in forecasting diffusion of a new product with scarce historical data. Demand uncertainties are calibrated using a geometric Brownian motion (GBM) process. The spline interpolation (SI) method and curve fitting process have been utilized to obtain parameters of the constructed GBM-based differential equation over the product’s life cycle (PLC). The constructed stochastic differential equation is coded as the forecast model and is simulated using MATLAB. The results are several sample demand paths generated from simulation of the forecast model. To evaluate the forecasting performance of the proposed method it is compared with Holt’s model, using actual data from the semiconductor industry. The comparison results confirm the applicability of the proposed method in the semiconductor industry. The method can be helpful for policy-makers who require the prediction of uncertain demand over a time horizon, such as decisions associated with aggregate production planning, capacity planning, and supply chain network design. Especially for the semiconductor industry with intensive capital investment the proposed approach can be useful for making decisions associated with capacity allocation and expansion.
机译:本研究解决了预测新产品扩散的随机性问题,缺乏历史数据。需要使用几何布朗运动(GBM)过程校准需求不确定性。已经利用样条插值(Si)方法和曲线拟合工艺来获得产品的生命周期(PLC)上构造的基于GBM的微分方程的参数。构造的随机微分方程被编码为预测模型,并使用MATLAB进行模拟。结果是从预测模型的模拟产生的几条样本需求路径。为了评估所提出的方法的预测性能,将其与来自半导体行业的实际数据进行比较。比较结果证实了所提出的方法在半导体工业中的适用性。该方法对要求预测不确定需求的政策制定者,例如与总生产规划,容量规划和供应链网络设计相关的决策。特别是对于具有密集资本投资的半导体产业,所提出的方法可用于做出与能力分配和扩张相关的决定。

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