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Reliability Measures and Profit Exploration of Windmill Water-Pumping Systems Incorporating Warranty and Two Types of Repair

Author

Listed:
  • Nupur Goyal

    (Department of Mathematics, Graphic Era Deemed to be University, Dehradun 248002, India)

  • Mangey Ram

    (Department of Mathematics, Computer Science Engineering, Graphic Era Deemed to be University, Dehradun 248002, India)

  • Akshay Kumar

    (Department of Mathematics, Graphic Era Hill University, Dehradun 248002, India)

  • Soni Bisht

    (Department of Mathematics, Eternal University, Baru Sahib 173001, India)

  • Yury Klochkov

    (Academic Development Management, Peter the Great St. Petersburg Polytechnic University, 195251 Saint Petersburg, Russia)

Abstract

Wind energy is a kind of renewable energy that plays a significant role in remote areas for pumping water. The windmill is also used to generate electricity. The windmill is also known as a wind pump when it is used for pumping water. In this work, the authors proposed a complex hybrid model of an example of combined system (windmill, rechargeable battery and pumping system) to evaluate the system’s performance. System performance was affected by system degradation due to system failure. These factors also affected the profit of the user. Two types of repair facilities for continuous and satisfactory performance of the system were assumed. To illustrate the system modeling using the Gumbel–Hougaard family of the copula, numerical examples were used for the exploration of Markov results of the reliability measures and the profit of the system with the warranty period, with this also being demonstrated graphically.

Suggested Citation

  • Nupur Goyal & Mangey Ram & Akshay Kumar & Soni Bisht & Yury Klochkov, 2021. "Reliability Measures and Profit Exploration of Windmill Water-Pumping Systems Incorporating Warranty and Two Types of Repair," Mathematics, MDPI, vol. 9(8), pages 1-14, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:8:p:822-:d:533081
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    References listed on IDEAS

    as
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