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

Nupur Goyal, Mangey Ram, Akshay Kumar, Soni Bisht and Yury Klochkov
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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

Mathematics, 2021, vol. 9, issue 8, 1-14

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.

Keywords: combined system; reliability; system degradation; profit analysis; warranty period (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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