Controlled Markov chains with weak and strong interactions: Asymptotic optimality and applications to manufacturing
type: Item
instance of: scholarly article
title: Controlled Markov chains with weak and strong interactions: Asymptotic optimality and applications to manufacturing
zbMATH Open document ID: 0886.90081
DOI: 10.1023/A:1022667905086
published in: Journal of Optimization Theory and Applications
publication date: 1998-04-19T00:00:00Z
Mathematics Subject Classification ID: 90B30
Mathematics Subject Classification ID: 93E20
Mathematics Subject Classification ID: 90C90
zbMATH DE Number: 1069777
zbMATH Keywords: stochastic optimal control
zbMATH Keywords: singularly perturbed Markov chains
zbMATH Keywords: weak and strong interactions
zbMATH Keywords: piecewise-deterministic processes
zbMATH Keywords: aggregated Markov chains
zbMATH Keywords: stationary distributions
zbMATH Keywords: HJB equation
zbMATH Keywords: flexible manufacturing
zbMATH Keywords: production planning
author: Q. Zhang
author: G. Yin
author: E. K. Boukas
MaRDI profile type: Publication
cites work: Q4265503
cites work: Singular perturbations and time-scale methods in control theory: Survey 1976-1983
cites work: Asymptotic Expansions of Singularly Perturbed Systems Involving Rapidly Fluctuating Markov Chains
cites work: Constructing asymptotic series for probability distributions of Markov chains with weak and strong interactions
cites work: A central limit theorem for singularly perturbed nonstationary finite state Markov chains
cites work: A State Aggregation Approach to Manufacturing Systems Having Machine States with Weak and Strong Interactions
cites work: Controlled Markov processes and viscosity solutions
cites work: Q3136505
cites work: Q3721531
cites work: Optimal control of production rate in a failure prone manufacturing system
full work available at URL: a:1022667905086
OpenAlex ID: W163948599
description: scientific article; zbMATH DE number 1069777