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Dynamic Programming

by Richard Bellman

A mathematical framework for multistage decisions

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A mathematical framework for multistage decisions

Richard Bellman develops the theory of multistage decision processes through functional equations, presenting methods for finding optimum policies alongside existence and uniqueness theorems. The topics range from inventory and production bottlenecks to the calculus of variations, multistage games, and Markovian decision processes. Examples connect the mathematical framework to these different problem areas, and chapter-ending problem sets extend the work with exercises. This Dover edition reproduces the 1957 text and includes a new introduction by Eric V. Denardo.

Good fit for readers who enjoy

  • Readers studying optimization, operations research, or mathematical decision theory.
  • Those seeking a mathematically oriented treatment of multistage processes, with examples and problem sets.

Themes

Dynamic optimizationMultistage decision processesFunctional equationsMathematical applications

Based on publisher information and book metadata.

Book overview

An introduction to the mathematical theory of multistage decision processes, this text takes a "functional equation" approach to the discovery of optimum policies. Written by a leading developer of such policies, it presents a series of methods, uniqueness and existence theorems, and examples for solving the relevant equations. The text examines existence and uniqueness theorems, the optimal inventory equation, bottleneck problems in multistage production processes, a new formalism in the calculus of variation, strategies behind multistage games, and Markovian decision processes. Each chapter concludes with a problem set that Eric V. Denardo of Yale University, in his informative new introduction, calls "a rich lode of applications and research topics." 1957 edition. 37 figures.
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