Dynamic Programming / / Richard E. Bellman.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
• VerfasserIn: Bellman, Richard E.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2021]; ©2010
• Year of Publication: 2021
• Language: English
• Series: Princeton Landmarks in Mathematics and Physics ; 33
• Physical Description: 1 online resource (392 p.)

This classic book is an introduction to dynamic programming, presented by the scientist who coined the term and developed the theory in its early stages. In Dynamic Programming, Richard E. Bellman introduces his groundbreaking theory and furnishes a new and versatile mathematical tool for the treatment of many complex problems, both within and outside of the discipline. The book is written at a moderate mathematical level, requiring only a basic foundation in mathematics, including calculus. The applications formulated and analyzed in such diverse fields as mathematical economics, logistics, scheduling theory, communication theory, and control processes are as relevant today as they were when Bellman first presented them. A new introduction by Stuart Dreyfus reviews Bellman's later work on dynamic programming and identifies important research areas that have profited from the application of Bellman's theory.

Table of Contents

Frontmatter -- Contents -- Introduction to the 2010 Edition -- Preface -- CHAPTER I A Multi-Stage Allocation Process -- CHAPTER II A Stochastic Multi-Stage Decision Process -- CHAPTER III The Structure of Dynamic Programming Processes -- CHAPTER IV Existence and Uniqueness Theorems -- CHAPTER V The Optimal Inventory Equation -- CHAPTER VI Bottleneck Problems in Multi-Stage Production Processes -- CHAPTER VII Bottleneck Problems: Examples -- CHAPTER VIII A Continuous Stochastic Decision Process -- CHAPTER IX A New Formalism in the Calculus of Variations -- CHAPTER X Multi-Stage Games -- CHAPTER XI Markovian Decision Processes -- Index of applications -- Name and subject index