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Unit-Weibull distribution with innovative applications in engineering and management

Author

Listed:
  • V. Mariappan

    (Agnel Institute of Technology and Design)

  • Milind Sakhardande

    (Goa College of Engineering)

  • Mahesh Dhawalikar

    (Goa College of Engineering)

  • P. K. Srividya

    (Periyar Maniammai University)

  • S. Raikar

    (Agnel Institute of Technology and Design)

Abstract

The Unit-Weibull distribution has applications in the study of reliability engineering, risk analysis, and survival modeling. While the traditional Weibull distribution provides a framework for modeling the failure times of systems and components, the Unit-Weibull distribution is very flexible. It is highly competitive with many classical distributions on the unit interval. This paper begins by presenting the development and mathematical formulation of the Unit-Weibull distribution, describing its probability density function and cumulative distribution function, and hence describing various reliability measures that are generally required for the reliability assessment of any system and maintenance policy decision. Bathtub-shaped hazard and reversed hazard rates are discussed at length in this paper. A sensitivity analysis of parameters is carried out to get the bathtub-shaped hazard rate with appropriate visuals. Through a rigorous examination of its properties, this study aims to comprehensively understand the distribution’s behavior and characteristics, including its shape, scale, and reliability parameters. For the investigation of the nature of various reliability measures, appropriate spreadsheets are also used to support the claim when the functions are transcendental. Two real-life cases were applied and analyzed to draw appropriate managerial decisions regarding warranty and maintenance policy.

Suggested Citation

  • V. Mariappan & Milind Sakhardande & Mahesh Dhawalikar & P. K. Srividya & S. Raikar, 2025. "Unit-Weibull distribution with innovative applications in engineering and management," 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. 16(10), pages 3272-3283, October.
    • Handle: RePEc:spr:ijsaem:v:16:y:2025:i:10:d:10.1007_s13198-025-02832-2
    DOI: 10.1007/s13198-025-02832-2
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