Constrained Markov Decision Processes by Eitan Altman

Constrained Markov Decision Processes by Eitan Altman

This book provides a unified approach for the study of constrained Markov decision processes with a finite state space and unbounded costs. Unlike the single controller case considered in many other books, the author considers a single controller with several objectives, such as minimizing delays and loss, probabilities, and maximization of throughputs. It is desirable to design a controller that minimizes one cost objective, subject to inequality constraints on other cost objectives. This framework describes dynamic decision problems arising frequently in many engineering fields. A thorough overview of these applications is presented in the introduction. The book is then divided into three sections that build upon each other. The first part explains the theory for the finite state space. The author characterizes the set of achievable expected occupation measures as well as performance vectors, and identifies simple classes of policies among which optimal policies exist. This allows the reduction of the original dynamic into a linear program. A Lagranian approach is then used to derive the dual linear program using dynamic programming techniques. In the second part, these results are extended to the infinite state space and action spaces. The author provides two frameworks: the case where costs are bounded below and the contracting framework. The third part builds upon the results of the first two parts and examines asymptotical results of the convergence of both the value and the policies in the time horizon and in the discount factor. Finally, several state truncation algorithms that enable the approximation of the solution of the original control problem via finite linear programs are given.

"…an outstanding addition to the MDPs literature and it complements…"

tstanding addition to the MDPs literature and it complements…".

Altman, Eitan

SKU	Nicht verfügbar
ISBN 13	9780849303821
ISBN 10	0849303826
Titel	Constrained Markov Decision Processes
Autor	Eitan Altman
Serie	Stochastic Modeling Series
Buchzustand	Nicht verfügbar
Bindungsart	Hardback
Verlag	Taylor & Francis Ltd
Erscheinungsjahr	1999-03-30
Seitenanzahl	256
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar