Decision Analytics
暫譯: 決策分析

Denton, Brian T.

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商品描述

Mathematical models and algorithms for sequential decisions under uncertainty

Sequential decisions under uncertainty arise in many fields including energy, healthcare, finance, transportation, and logistics, yet accessible treatments linking foundational theory to computational practice remain scarce. Decision Analytics: Mathematical Models and Algorithms for Sequential Decision-Making, written by Brian T. Denton, a past President of INFORMS, presents a structured progression from core concepts through advanced methods, pairing rigorous mathematics with implementable Python code.

Across ten chapters, Decision Analytics covers decision trees, Monte Carlo simulation, Markov chains, Markov decision processes, partially observable Markov decision processes, and constrained optimization models, including stochastic programs. Dedicated chapters on reinforcement learning and multi-agent learning introduce model-free approaches for finding optimal or near-optimal solutions. The final chapter covers approximate dynamic programming for decision-making at scale. Real-world examples, exercises, and an instructor's solution manual support classroom adoption.

Readers will also find:

  • Coverage of artificial intelligence techniques applied to sequential decision-making problems
  • Monte Carlo simulation methods used to analyse decision trees, Markov decision processes, and stochastic programming formulations
  • Python code examples throughout the text enabling direct implementation and experimentation with each model and algorithm presented
  • Practice exercises with solutions and an instructor's manual designed to support both self-study and classroom-based teaching
  • A concept-first pedagogical approach that explains foundational principles before demonstrating how they solve applied problems

Designed for undergraduate and graduate students in industrial engineering, operations research, and related STEM disciplines with introductory knowledge of mathematics, probability, and statistics, this book also serves researchers and professionals who require unified treatment of sequential decision-making methods.

商品描述(中文翻譯)

不確定性下序列決策的數學模型與演算法

不確定性下的序列決策廣泛存在於能源、醫療保健、金融、運輸與物流等領域。然而,能將基礎理論與計算實務相互串聯,且易於理解的相關教材仍然相當有限。《Decision Analytics: Mathematical Models and Algorithms for Sequential Decision-Making》由曾任 INFORMS 會長的 Brian T. Denton 撰寫,透過結構化的學習脈絡,從核心概念逐步延伸至進階方法,並以嚴謹的數學搭配可實際執行的 Python 程式碼。

《Decision Analytics》全書共十章,涵蓋決策樹、Monte Carlo 模擬、Markov 鏈、Markov 決策過程、部分可觀測 Markov 決策過程,以及包含隨機規劃在內的限制式最佳化模型。專章介紹強化學習與多代理人學習,說明如何採用無模型方法尋找最佳或近似最佳解。最後一章則探討如何運用近似動態規劃,處理大規模決策問題。書中提供真實世界的案例與習題,並附有教師解答手冊,以支援課堂教學採用。

讀者還將學到:

• 將人工智慧技術應用於序列決策問題
• 使用 Monte Carlo 模擬方法分析決策樹、Markov 決策過程與隨機規劃模型
• 全書提供 Python 程式碼範例,讓讀者能直接實作並試驗書中介紹的各種模型與演算法
• 附有解答的練習題,以及支援自學與課堂教學的教師手冊
• 以概念為先的教學方法,先說明基礎原理,再示範如何運用這些原理解決實務問題

本書適合具備數學、機率與統計入門知識的工業工程、作業研究及相關 STEM 領域大學生與研究生閱讀;同時也適合需要完整學習序列決策方法的研究人員與業界專業人士。

作者簡介

Brian T. Denton, PhD, is the Stephen M. Pollock Collegiate Professor of Industrial and Operations Engineering at the University of Michigan. A past President of INFORMS, his research focuses on data-driven sequential decision making and optimization under uncertainty. His work has earned the National Science Foundation Career Award, INFORMS Daniel H. Wagner Prize, and the George E. Kimball medal. He is a Fellow of INFORMS and the Institute of Industrial and Systems Engineers.

作者簡介(中文翻譯)

Brian T. Denton 博士是 University of Michigan 工業與作業工程 Stephen M. Pollock 講座教授。他曾任 INFORMS 主席,研究專注於資料驅動的序列決策,以及不確定性下的最佳化。他的研究曾獲 National Science Foundation Career Award、INFORMS Daniel H. Wagner Prize,以及 George E. Kimball Medal。他是 INFORMS 與 Institute of Industrial and Systems Engineers 的 Fellow。