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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Universidad Católica del Norte, Departamento de Matemáticas
2012
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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. |
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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 |
_version_ |
1718439784392687616 |