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A Population-Growth Model for Multiple Generations of Technology Products

机译:多代技术产品的人口增长模型

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In this paper, we consider the demand for multiple, successive generations of products and develop a population-growth model that allows demand transitions across multiple product generations and takes into consideration the effect of competition. We propose an iterative-descent method for obtaining the parameter estimates and the covariance matrix, and we show that the method is theoretically sound and overcomes the difficulty that the units-in-use population of each product is not observable. We test the model on both sim-ulated sales data and Intel's high-end desktop processor sales data. We use two alternative specifications for product strength in this market: performance and performance/price ratio. The former demonstrates better fit and forecast accuracy, likely due to the low price sensitivity of this high-end market. In addition, the param-eter estimate suggests that, for the innovators in the diffusion of product adoption, brand switchings are more strongly influenced by product strength than within-brand product upgrades in this market. Our results indi-cate mat compared with the Bass model, Norton-Bass model, and Jun-Park choice-based diffusion model, our approach is a better fit for strategic forecasting that occurs many months or years before the actual product launch.
机译:在本文中,我们考虑了对多个连续一代产品的需求,并开发了一种人口增长模型,该模型允许跨多个产品世代的需求转移并考虑竞争的影响。我们提出了一种迭代下降的方法来获得参数估计值和协方差矩阵,并且我们证明了该方法在理论上是合理的,并且克服了每种产品的使用单位数量不可观察的困难。我们在模拟销售数据和英特尔高端台式机处理器销售数据上测试该模型。对于市场上的产品强度,我们使用两种替代规格:性能和性能价格比。前者表现出更好的拟合度和预测准确性,这可能是由于该高端市场对价格的敏感性较低。此外,参数估计值表明,对于产品采用扩散的创新者而言,与该市场中品牌内产品升级相比,品牌转换受产品强度的影响更大。与Bass模型,Norton-Bass模型和基于Jun-Park选择的扩散模型相比,我们的结果更为明显,我们的方法更适合于在实际产品推出前数月或数年进行的战略预测。

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