Monotone optimal replacement policies for a Markovian deteriorating system in a controllable environment

  • Authors:
  • Murat Kurt;Jeffrey P. Kharoufeh

  • Affiliations:
  • Department of Industrial Engineering, University of Pittsburgh, 1048 Benedum Hall, 3700 O'Hara Street, Pittsburgh, PA 15261, USA;Department of Industrial Engineering, University of Pittsburgh, 1048 Benedum Hall, 3700 O'Hara Street, Pittsburgh, PA 15261, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 2010

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Abstract

We consider the optimal replacement of a periodically inspected system under Markov deterioration that operates in a controlled environment. Provided are sufficient conditions that characterize an optimal control-limit replacement policy with respect to the system's condition and its environment. The structure of the optimal policy is illustrated by a numerical example.