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MTSF (mean time to system failure) and profit analysis of a single-unit system with inspection for feasibility of repair beyond warranty

Author

Listed:
  • Ram Niwas

    (Kurukshetra University)

  • M. S. Kadyan

    (Kurukshetra University)

  • Jitender Kumar

    (Kurukshetra University)

Abstract

This paper discussed the MTSF and profit analysis of a single-unit system with inspection for feasibility of repair beyond warranty subject to a single repair facility. Any failure during warranty is rectified by the manufacturer free of cost to the users provided failures are not due to the negligence of users. Beyond warranty, unit goes under inspection after failure for feasibility of its repair or replacement. The failure time of the system follows negative exponential distribution while repair and inspection time distributions are taken as arbitrary. The expressions for reliability, MTSF, availability of the system and profit function have been determined by using supplementary variable technique. Using Abel’s lemma steady state behavior of the system has been derived. The numerical results for reliability and profit function are also obtained by taking particular values of various parameters and repair cost.

Suggested Citation

  • Ram Niwas & M. S. Kadyan & Jitender Kumar, 2016. "MTSF (mean time to system failure) and profit analysis of a single-unit system with inspection for feasibility of repair beyond warranty," 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. 7(1), pages 198-204, December.
    • Handle: RePEc:spr:ijsaem:v:7:y:2016:i:1:d:10.1007_s13198-015-0362-6
    DOI: 10.1007/s13198-015-0362-6
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    References listed on IDEAS

    as
    1. Jeffrey Kharoufeh & Christopher Solo & M. Ulukus, 2010. "Semi-Markov models for degradation-based reliability," IISE Transactions, Taylor & Francis Journals, vol. 42(8), pages 599-612.
    2. Jin, Xiaoning & Li, Lin & Ni, Jun, 2009. "Option model for joint production and preventive maintenance system," International Journal of Production Economics, Elsevier, vol. 119(2), pages 347-353, June.
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    Cited by:

    1. Ali Salmasnia & Amin Yazdekhasti, 2017. "A bi-objective model to optimize periodic preventive maintenance strategy during warranty period by considering customer satisfaction," 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. 8(4), pages 770-781, December.
    2. S. Z. Taj & S. M. Rizwan & B. M. Alkali & D. K. Harrison & G. Taneja, 2020. "Three reliability models of a building cable manufacturing plant: a comparative analysis," 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. 11(2), pages 239-246, July.
    3. S. Z. Taj & S. M. Rizwan & B. M. Alkali & D. K. Harrison & G. Taneja, 0. "Three reliability models of a building cable manufacturing plant: a comparative analysis," 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. 0, pages 1-8.
    4. Ram Niwas & M. S. Kadyan, 2022. "A bi-objective inspection policy for a repairable engineering system with failure free warranty," 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(2), pages 881-891, April.

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