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A novel replacement policy for a linear deteriorating system using stochastic process with dependent components

Author

Listed:
  • Aynura Poladova
  • Salih Tekin
  • Tahir Khaniyev

Abstract

In this study, a mechanical system with linear deterioration and preventive maintenance is considered. The state of the system over time is represented by a semicontinuous stochastic process with dependent components. The system cycles through on and off periods during its lifetime. The state of the system deteriorates linearly as a function of the usage time during on periods. When the system is offline, preventive maintenance is conducted, which improves the system state by a random amount. The system's on and off times and random improvement amounts are assumed to have general distributions. For such a system, our objective is to determine the expected value and variance for the number of preventive maintenance activities needed during the system lifetime and to propose a novel replacement policy for the system based on delay‐time modeling. Finally, the effectiveness of the obtained asymptotic results and the proposed replacement policy are tested through simulation.

Suggested Citation

  • Aynura Poladova & Salih Tekin & Tahir Khaniyev, 2020. "A novel replacement policy for a linear deteriorating system using stochastic process with dependent components," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 36(3), pages 381-396, May.
    • Handle: RePEc:wly:apsmbi:v:36:y:2020:i:3:p:381-396
    DOI: 10.1002/asmb.2494
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    References listed on IDEAS

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    1. Tahir A. Khaniev & Halim Özdemir & Selahattin Maden, 1998. "Calculating the probability characteristics of a boundary functional of a semi‐continuous random process with reflecting and delaying screens," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 14(2), pages 117-123, June.
    2. Lin, Zu-Liang & Huang, Yeu-Shiang & Fang, Chih-Chiang, 2015. "Non-periodic preventive maintenance with reliability thresholds for complex repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 145-156.
    3. Brown, Mark & Solomon, Herbert, 1975. "A second-order approximation for the variance of a renewal reward process," Stochastic Processes and their Applications, Elsevier, vol. 3(3), pages 301-314, July.
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