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Turnpike Phenomenon for Markov Decision Processes

Name: Turnpike Phenomenon for Markov Decision Processes
Brand: Springer-Verlag GmbH
SKU: 9783032008534
Price: 276.48 RON
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Autor: Alexander J. Zaslavski

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Editura: Springer-Verlag GmbH

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This book provides a comprehensive examination of the structure of approximate optimal policies in M...

Informații despre carte

Autor

Alexander J. Zaslavski

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2025

Pagini

144

EAN

9783032008534

ISBN

3032008530

Enbook ID

49083315

Editura

Springer-Verlag GmbH

Greutate

230

Descriere completă

This book provides a comprehensive examination of the structure of approximate optimal policies in Markov decision processes (MDPs) with finite state spaces, as well as approximate optimal solutions for deterministic discrete-time optimal control problems. At its core, the monograph delves into the turnpike property, a concept introduced by P. Samuelson, which suggests that optimal solutions are largely determined by the objective function, independent of interval length or endpoint conditions.

Key concepts include the uniqueness and stability of minimizing Markov actions, the existence of overtaking optimal policies, and the asymptotic and weak turnpike properties. The authors meticulously examine these phenomena across various classes of MDPs, employing a Baire category approach to demonstrate the generic nature of these properties. The book also addresses the impact of perturbations on cost functions, ensuring the stability of turnpike properties.

This monograph is an essential resource for researchers and scholars in the fields of operations research, applied mathematics, and control theory. It provides valuable insights into the intricate dynamics of MDPs and optimal control systems, making it a must-read for anyone seeking to deepen their understanding of these complex topics.