Gordienko, E.I. and Salem-Silva, F. (2000). Estimates of Stability of Markov Control Processes with Unbounded Costs. Kybernetika, 36, 195-210.

has been cited by the following article:

• TITLE: Asymptotic Evaluations of the Stability Index for a Markov Control Process with the Expected Total Discounted Reward Criterion

  AUTHORS: Jaime Eduardo Martínez-Sánchez

  KEYWORDS: Control Consumption-Investment Process, Discrete-Time Markov Control Process, Expected Total Discounted Reward, Probabilistic Metrics, Stability Index Estimation

  JOURNAL NAME: American Journal of Operations Research, Vol.11 No.1, January 28, 2021

  ABSTRACT: In this work, for a control consumption-investment process with the discounted reward optimization criteria, a numerical estimate of the stability index is made. Using explicit formulas for the optimal stationary policies and for the value functions, the stability index is explicitly calculated and through statistical techniques its asymptotic behavior is investigated (using numerical experiments) when the discount coefficient approaches 1. The results obtained define the conditions under which an approximate optimal stationary policy can be used to control the original process.