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Investigation of Reliability Measures of Complex Structure via Linear Differential Equation

In: Applications of Operational Research in Business and Industries

Author

Listed:
  • Hemlata Thakur

    (Government College Rau)

  • Pradeep K. Joshi

    (IPS Academy)

  • Chitaranjan Sharma

    (Government Holkar Science College)

Abstract

In this research paper, we investigate a complex system with two subsystems. Subsystem 1 has two similar units in parallel connection, whereas subsystem 2 has single unit which is connected to subsystem 1 in a series connection. This type of system can be used in a variety of manufacturing sectors. All failure rates and repair rates are assumed to follow an exponential distribution. Linear differential equations’ (LDEs) method was used to develop equation for evaluating reliability measures and statistical analysis such as mean time to system failure and system steady-state availability. Some particular cases have been evaluated by taking different values of the failure rate and repair rate. We also evaluated the effect of failure rate and repair rate on mean time to system failure and steady-state availability of the system. Outcome of the reliability measures have been verified through graphical and numerical illustration.

Suggested Citation

  • Hemlata Thakur & Pradeep K. Joshi & Chitaranjan Sharma, 2023. "Investigation of Reliability Measures of Complex Structure via Linear Differential Equation," Lecture Notes in Operations Research, in: Angappa Gunasekaran & Jai Kishore Sharma & Samarjit Kar (ed.), Applications of Operational Research in Business and Industries, chapter 0, pages 453-463, Springer.
    • Handle: RePEc:spr:lnopch:978-981-19-8012-1_29
    DOI: 10.1007/978-981-19-8012-1_29
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