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Stochastic analysis of main unit with two non-identical replaceable sub units working with partial failure

Author

Listed:
  • Anjali Naithani

    (Amity Institute of Applied Science, Amity University)

  • Smrity Khanduri

    (Amity Institute of Applied Science, Amity University)

  • Surbhi Gupta

    (Amity Institute of Applied Science, Amity University)

Abstract

In this paper, reliability and cost analysis of a system comprising a main unit with two non-identical replaceable subunits has been carried out by employing Semi–Markov Processes and Regenerative Point Technique. Both the replaceable and non-identical subunits are connected in parallel. The system consists of a single unit with two separate ink cartridges: one Color cartridge and the other Black cartridge. The system is analyzed under a particular situation when initially both the cartridges are operative, but on the failure of the Color cartridge (subunit 1) the system fails partially and then works at reduced capacity in the presence of a black cartridge (subunit 2) only. Technical failure also leads to total system failure. Various system efficiency indicators such as Mean Time to System Failure, Availability Analysis and Expected Down Time of the System, Busy Period Analysis of Repairman; and Average Number of (damaged) Component Replacements, Color and Black Ink Cartridge Replacements are estimated. Using the data collected from the industry a rough estimate of the system’s profit value is inspected and the behavior of these measures of the systems due to variations in its parameters have been analyzed.

Suggested Citation

  • Anjali Naithani & Smrity Khanduri & Surbhi Gupta, 2022. "Stochastic analysis of main unit with two non-identical replaceable sub units working with partial failure," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(3), pages 1467-1473, June.
    • Handle: RePEc:spr:ijsaem:v:13:y:2022:i:3:d:10.1007_s13198-021-01490-4
    DOI: 10.1007/s13198-021-01490-4
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    References listed on IDEAS

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    1. S.C. Malik & R. Rathee, 2016. "Reliability modelling of a parallel system with maximum operation and repair times," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 25(1), pages 131-142.
    2. Amit Manocha & Gulshan Taneja & Sukhvir Singh & Rahul Rishi, 2019. "Modelling and analysis of two-unit hot standby database system with random inspection of standby unit," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 15(2), pages 156-180.
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