Research Initiation: Economic Determination of SpecificationLevels and Delivery Priorities for Semiconductor Products

本项目的目标是构建和分析 半导体产品的新分配机制， 同时确定规格水平和交付 优先级，并在数学上表征和分析 对降级、互补性和 半导体产品的可替代性。 核心观点 生产者提供一条“生产线”， 优先类。 生产者的分配规则是这样的， 较高优先级的类具有较高的规格 无论生产结果如何，芯片都是一样的。 产品线 设计和分配规则允许生产者的利润 最大化问题转化为非线性规划 公式化。 在从实际供应量估算函数中， 生产数据、最小二乘拟合以及核估计 方法和最大惩罚似然法。 对于数值利润最大化和随后的敏感性 分析，一个标准的非线性优化软件将 利用。 这项研究的意义在于， 目的（1）建立一个系统的方法来确定最佳的 半导体产品的规格水平，从经济 （2）提高半导体器件的性能 生产商在按期交货的芯片，（3）以更好地 理解降级，互补性和可替代性 半导体产品的利润率。

The objectives of this project are to construct and analyze a new allocation mechanism for semiconductor products by simultaneously determining specification levels and delivery priorities and to mathematically characterize and analyze the impacts on profitability of downgrading, complementarity, and substitutability of semiconductor products. The essential idea of the model is that the producer offers a "product line" of priority classes. The producer's allocation rule is such that higher priority classes are supplied with higher specification level chips regardless of production outcome. The product line design and allocation rule allows the producer's profit maximization problem to be cast as a non-linear programming formulation. In estimating supply quantity functions from actual production data, the least square fit as well as kernel estimation method and maximum penalized likelihood method will be employed. For numerical profit maximization and subsequent sensitivity analysis, a standard non-linear optimization software will be utilized. The significance of this research is that it simultaneously aims (1) to establish a systematic method to determine the optimal specification levels of semiconductor products from an economic perspective, (2) to improve the performance of semiconductor producers in on-schedule delivery of chips, (3) to better understand downgrading, complementarity, and substitutability of semiconductor products with respect to profitability of products.