Please use this identifier to cite or link to this item:
https://hdl.handle.net/10356/102555
Title: | Monotone optimal control for a class of Markov decision processes | Authors: | Li, Michael Z. F. Zhuang, Weifen |
Keywords: | DRNTU::Business | Issue Date: | 2011 | Series/Report no.: | European journal of operational research | Abstract: | This paper provides a unified framework to study monotone optimal control for a class of Markov decision processes through D-multimodularity. We demonstrate that each system in this class can be classified as either a substitution-type or a complement-type system according to the possible transition set, which can be used as a classification mechanism that integrates a variety of models in the literature. We develop a generic proof of the structural properties of both types of system. In particular, we show that D-multimodularity is a generally sufficient condition for monotone optimal control of different types of system in this class. With this unified theory, there is no need to pursue each problem ad hoc and the structural properties of this class of MDPs follow with ease. | URI: | https://hdl.handle.net/10356/102555 http://hdl.handle.net/10220/11277 |
DOI: | 10.1016/j.ejor.2011.09.021 | Schools: | Nanyang Business School | Rights: | © 2011 Elsevier B.V. | Fulltext Permission: | none | Fulltext Availability: | No Fulltext |
Appears in Collections: | NBS Journal Articles |
SCOPUSTM
Citations
20
14
Updated on Mar 18, 2024
Web of ScienceTM
Citations
20
13
Updated on Oct 28, 2023
Page view(s) 20
744
Updated on Mar 28, 2024
Google ScholarTM
Check
Altmetric
Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.