Proyecciones Journal of Mathematics Vol. 31, N^o 3, pp. 219-233, September 2012. Universidad Católica del Norte Antofagasta - Chile

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

Rocio Ilhuicatzi-Roldan

Benemérita Universidad Autonoma de Puebla, Mexico

Hugo Cruz-Suarez

Benemerita Universidad Autonoma de Puebla, Mexico

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ABSTRACT

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.

Keywords : Mathematical programming, Optimal stochastic control, Dynamic programming, Markov decision processes.

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Maria del Rocio Ilhuicatzi Roldán

Facultad de Ciencias FIsico-Matematicas Benemerita Universidad Autónoma de Puebla Mexico

e-mail: rroldan@alumnos.fcfm.buap.mx and

 

Hugo Cruz Suarez

Facultad de Ciencias FIsico-Matematicas Benemerita Universidad Autonoma de Puebla Mexico

e-mail: hcs@fcfm.buap.mx

Received : May 2011. Accepted : May 2012