A New Approach to Compute System Reliability with Three-Serially Linked Modules

Sadiya, Mangey Ram and Akshay Kumar ()
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Sadiya: Department of Mathematics, Graphic Era Deemed to be University, Dehradun 248002, India
Mangey Ram: Department of Mathematics, Computer Science and Engineering, Graphic Era Deemed to be University, Dehradun 248002, India
Akshay Kumar: Department of Mathematics, Graphic Era Hill University, Dehradun 248002, India

Mathematics, 2022, vol. 11, issue 1, 1-18

Abstract: The efficiency of a bridge system and a 2-out-of-4: G system has been evaluated in the proposed work. The technique for evaluating the system’s reliability and signature reliability of different models has been employed in this work. We implemented the structure–function technique to determine the reliability function of the bridge model, 2-out-of-4: G model, and three serially connected modules system, which avoids Boland’s Formula to minimize the calculations and to reduce the failure rate of the complex system in order to maximize its capability. Three illustrative systems of five, four, and fourteen vertices each were separated and placed in series-parallel combinations. There is another simpler and faster concept to determine the system’s tail signature by using the coefficient of the reliability function described in this paper. The system’s reliability, minimal signature, tail signature, signature, B - P index, expected time, and expected cost were all calculated using this approach. This work also describes the reliability estimation of three serially connected systems with the help of different approaches. These findings contribute to the probabilistic method’s usefulness in analyzing the system’s signature and reliability.

Keywords: cumulative signature; minimal signature; signature reliability; bridge system; B - P index; expected lifetime; expected cost (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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