
Introduction to stochastic dynamic programming
Title:
Introduction to stochastic dynamic programming
Author:
Ross, Sheldon M.
ISBN:
9780080571966
9780125984201
9781483269092
Personal Author:
Publication Information:
New York : Academic Press, ©1983.
Physical Description:
1 online resource (xi, 164 pages)
Series:
Probability and mathematical statistics
Probability and mathematical statistics.
Contents:
Front Cover; Introduction to Stochastic Dynamic Programming; Copyright Page; Table of Contents; Dedication; Preface; Chapter I. Finite-Stage Models; 1. Introduction; 2. A Gambling Model; 3. A Stock-Option Model; 4. Modular Functions and Monotone Policies; 5. Accepting the Best Offer; 6. A Sequential Allocation Model; 7. The Interchange Argument in Sequencing; Problems; Notes and References; Chapter II. Discounted Dynamic Programming; 1. Introduction; 2. The Optimality Equation and Optimal Policy; 3. Method of Successive Approximations; 4. Policy Improvement; 5. Solution by Linear Programming.
6. Extension to Unbounded RewardsProblems; References; Chapter III. Minimizing Costs-Negative Dynamic Programming; 1. Introduction and Some Theoretical Results; 2. Optimal Stopping Problems; 3. Bayesian Sequential Analysis; 4. Computational Approaches; 5. Optimal Search; Problems; References; Chapter IV. Maximizing Rewards-Positive Dynamic Programming; 1. Introduction and Main Theoretical Results; 2. Applications to Gambling Theory; 3. Computational Approaches to Obtaining V; Problems; Notes and References; Chapter V. Average Reward Criterion; 1. Introduction and Counterexamples.
2. Existence of an Optimal Stationary Policy3. Computational Approaches; Problems; Notes and References; Chapter VI. Stochastic Scheduling; 1. Introduction; 2. Maximizing Finite-Time Returns-Single Processor; 3. Minimizing Expected Makespan-Processors in Parallel; 4. Minimizing Expected Makespan-Processors in Series; 5. Maximizing Total Field Life; 6. A Stochastic Knapsack Model; 7. A Sequential-Assignment Problem; Problems; Notes and References; Chapter VII. Bandit Processes; 1. Introduction; 2. Single-Project Bandit Processes; 3. Multiproject Bandit Processes.
4. An Extension and a Nonextension5. Generalizations of the Classical Bandit Problem; Problems; Notes and References; Appendix: Stochastic Order Relations; 1. Stochastically Larger; 2. Coupling; 3. Hazard-Rate Ordering; 4. Likelihood-Ratio Ordering; Problems; Reference; Index.
Abstract:
Introduction to Stochastic Dynamic Programming presents the basic theory and examines the scope of applications of stochastic dynamic programming.
Subject Term:
Genre:
Electronic Access:
ScienceDirect https://www.sciencedirect.com/science/book/9780125984201Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| T57.83 .R67 1983 | 1182810-1001 | Elsevier E-Book Collections | Searching... |
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