Weibull-based reliability and profitability analysis of an industrial multi-state repairable system

Authors

  • Priya Dahiya
    Chitkara University Institute of Engineering and Technology, Chitkara University, Punjab 140401, India
  • Jasdev Bhatti
    Chitkara University Institute of Engineering and Technology, Chitkara University, Punjab 140401, India
  • Pankaj Thakur
    Department of Mathematics, Faculty of Science and Technology, ICFAI University Baddi, Solan 174103, India
    https://orcid.org/0000-0001-8119-2697

Keywords:

Reliability analysis, Weibull distribution, Cold standby redundancy, Regenerative point technique, Profit analysis

Abstract

Reliability is a primary concern in industrial manufacturing because operational interruptions can reduce production, cause substantial economic losses, and create workplace-safety risks. This study applies the two-parameter Weibull distribution and the regenerative point technique (RPT) to a repairable system comprising two non-identical units: a primary unit operating in parallel with a secondary unit arranged in cold standby. The model incorporates inspection, repair, and replacement activities and is used to derive transition probabilities, mean sojourn times, mean time to system failure (MTSF), steady-state availability, maintenance busy periods, and a profit function. Numerical results show that system profitability decreases as the failure rate and Weibull shape parameter increase, whereas a higher repair rate improves profitability. For the reported parameter set, profit increases from 7325.258 to 8726.043 when the repair rate rises from 0.1 to 1.0 at a=0.01, and from 4879.802 to 6970.602 at a=0.05. The analysis also identifies reported zero-profit thresholds near a=1.45, 1.38, and 1.21 for k=0.8, 1.0, and 2.0, respectively. The framework supports maintenance planning and economic assessment of multi-state repairable systems. 

Dimensions

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Published

2026-07-22

How to Cite

Weibull-based reliability and profitability analysis of an industrial multi-state repairable system. (2026). Journal of the Nigerian Society of Physical Sciences, 8(3), 3426. https://doi.org/10.46481/jnsps.2026.3426

Issue

Volume 8, Issue 3, August 2026

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2026 Priya Dahiya, Jasdev Bhatti, Pankaj Thakur (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Weibull-based reliability and profitability analysis of an industrial multi-state repairable system. (2026). Journal of the Nigerian Society of Physical Sciences, 8(3), 3426. https://doi.org/10.46481/jnsps.2026.3426

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