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Reliability of manufacturing equipment in complex environments

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Abstract

We present two stochastic failure models for the reliability evaluation of manufacturing equipment that degrades due to its complex operating environment. The first model examines the case when the environment is a temporally nonhomogeneous continuous-time Markov chain, and the second assumes the environment is a temporally homogeneous semi-Markov process on a finite space. Derived are transform expressions for the lifetime distributions. A few examples are provided to illustrate the main results.

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Authors and Affiliations

  1. Department of Industrial Engineering, University of Pittsburgh, 1048 Benedum Hall, 3700 O’Hara Street, Pittsburgh, PA, 15261, USA

    Jeffrey P. Kharoufeh

  2. Office of the Secretary of Defense, CAPE/RA/WSCAD, Room BE779, 1800 Defense Pentagon, Washington, DC, 20301-1800, USA

    Steven M. Cox

  3. Department of Mathematics and Statistics, Air Force Institute of Technology, 2950 Hobson Way (AFIT/ENC), Wright Patterson AFB, OH, 45433, USA

    Mark E. Oxley

Authors
  1. Jeffrey P. Kharoufeh
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  2. Steven M. Cox
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  3. Mark E. Oxley
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Correspondence to Jeffrey P. Kharoufeh.

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Kharoufeh, J.P., Cox, S.M. & Oxley, M.E. Reliability of manufacturing equipment in complex environments. Ann Oper Res 209, 231–254 (2013). https://doi.org/10.1007/s10479-011-0839-x

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