Published November 1999 | Version v1
Journal article

Envelopes of Sets of Measures, Tightness, and Markov Control Processes

  • 1. Departamento de Probabilidad y Estadistica, IIMAS-UNAM, Apartado Postal 20-726, Mexico D.F. 01000 (Mexico)
  • 2. Departamento de Matematicas, CINVESTAV-IPN, Apartado Postal 14-740, Mexico D.F. 07000 (Mexico)

Description

We introduce upper and lower envelopes for sets of measures on an arbitrary topological space, which are then used to give a tightness criterion. These concepts are applied to show the existence of optimal policies for a class of Markov control processes

Additional details

Identifiers

Publishing Information

Journal Title
Applied Mathematics and Optimization
Journal Volume
40
Journal Issue
3
Journal Page Range
p. 377-392
ISSN
0095-4616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39081604
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CONTROL THEORY; MARKOV PROCESS; MATHEMATICAL SPACE; TOPOLOGY
Descriptors DEC
MATHEMATICS; SPACE; STOCHASTIC PROCESSES

Optional Information

Copyright
Copyright (c) Inc. 1999 Springer-Verlag New York