Optimal replacement in a system of n-machines with random horizon

This paper considers a system consisting of independently operating n-machines, which follows a deterioration processes with an associated cost function. It is assumed that the system is observed at discrete time and the objective function is the total expected cost. Also, it is considered that the...

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Autores principales: Ilhuicatzi-Roldan,Rocio, Cruz-Suarez,Hugo
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2012
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000300003
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spelling oai:scielo:S0716-091720120003000032012-11-13Optimal replacement in a system of n-machines with random horizonIlhuicatzi-Roldan,RocioCruz-Suarez,Hugo Mathematical programming Optimal stochastic control Dynamic programming Markov decision processes. This paper considers a system consisting of independently operating n-machines, which follows a deterioration processes with an associated cost function. It is assumed that the system is observed at discrete time and the objective function is the total expected cost. Also, it is considered that the horizon of the problem is random. For this problem, a replacement optimal policy that minimize the operation cost of the system is provided. Besides, a numerical example through a program in Matlab is presented.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.31 n.3 20122012-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000300003en10.4067/S0716-09172012000300003
institution Scielo Chile
collection Scielo Chile
language English
topic Mathematical programming
Optimal stochastic control
Dynamic programming
Markov decision processes.
spellingShingle Mathematical programming
Optimal stochastic control
Dynamic programming
Markov decision processes.
Ilhuicatzi-Roldan,Rocio
Cruz-Suarez,Hugo
Optimal replacement in a system of n-machines with random horizon
description This paper considers a system consisting of independently operating n-machines, which follows a deterioration processes with an associated cost function. It is assumed that the system is observed at discrete time and the objective function is the total expected cost. Also, it is considered that the horizon of the problem is random. For this problem, a replacement optimal policy that minimize the operation cost of the system is provided. Besides, a numerical example through a program in Matlab is presented.
author Ilhuicatzi-Roldan,Rocio
Cruz-Suarez,Hugo
author_facet Ilhuicatzi-Roldan,Rocio
Cruz-Suarez,Hugo
author_sort Ilhuicatzi-Roldan,Rocio
title Optimal replacement in a system of n-machines with random horizon
title_short Optimal replacement in a system of n-machines with random horizon
title_full Optimal replacement in a system of n-machines with random horizon
title_fullStr Optimal replacement in a system of n-machines with random horizon
title_full_unstemmed Optimal replacement in a system of n-machines with random horizon
title_sort optimal replacement in a system of n-machines with random horizon
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2012
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000300003
work_keys_str_mv AT ilhuicatziroldanrocio optimalreplacementinasystemofnmachineswithrandomhorizon
AT cruzsuarezhugo optimalreplacementinasystemofnmachineswithrandomhorizon
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