Holistic Prescriptive Analytics for Continuous and Constrained Optimization Problems

D. Bertsimas, O. Skali Lami
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Abstract

We present a holistic framework for prescriptive analytics. Given side data x, decisions z, and uncertain quantities y that are functions of x and z, we propose a framework that simultaneously predicts y and prescribes the “should be” optimal decisions [Formula: see text]. The algorithm can accommodate a large number of predictive machine learning models as well as continuous and discrete decisions of high cardinality. It also allows for constraints on these decision variables. We show wide applicability and strong computational performances on synthetic experiments and on two real-world case studies.
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连续和约束优化问题的整体规定分析
我们提出了一个规范分析的整体框架。给定侧数据x、决策z和不确定量y作为x和z的函数,我们提出了一个框架,该框架可以同时预测y并规定“应该是”最优决策[公式:见文本]。该算法可以适应大量的预测机器学习模型以及高基数的连续和离散决策。它还允许对这些决策变量进行约束。我们在合成实验和两个现实世界的案例研究中显示了广泛的适用性和强大的计算性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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