Monotonicity of minimizers in optimization problems with applications to Markov control processes

Title:

Monotonicity of minimizers in optimization problems with applications to Markov control processes

Creator:

Flores, Rosa M. and Montes-de-Oca, Raúl

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:10d66177-0897-4cf4-b6b7-7a5bde181b71
uuid:10d66177-0897-4cf4-b6b7-7a5bde181b71

Subject:

monotone minimizer in an optimization problem, Markov control process, total discounted cost, average cost, and monotone optimal policy

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Firstly, in this paper there is considered a certain class of possibly unbounded optimization problems on Euclidean spaces, for which conditions that permit to obtain monotone minimizers are given. Secondly, the theory developed in the first part of the paper is applied to Markov control processes (MCPs) on real spaces with possibly unbounded cost function, and with possibly noncompact control sets, considering both the discounted and the average cost as optimality criterion. In the context described, conditions to obtain monotone optimal policies are provided. For the conditions of MCPs presented in the article, several controlled models including, in particular, two inventory/production systems and the linear regulator problem are supplied.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[347]-368

Source:

Kybernetika | 2007 Volume:43 | Number:3

Harvested from:

CDK

Metadata only:

false