Vol. 9 No. 1 (2025): Vol 9, Iss 1, Year 2025
Articles

A Reliability Estimations of The Control System Using Cut And Tie Set Methods

Ramya P
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, India
Kalaiarasi S
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, India.
Preetha S
Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur, Tamil Nadu, India.
Published June 16, 2025
Keywords
  • Network reliability, Reliable path, minimal paths (tie-sets).
How to Cite
Ramya P, Kalaiarasi S, & Preetha S. (2025). A Reliability Estimations of The Control System Using Cut And Tie Set Methods. Journal of Computational Mathematica, 9(1), 190-203. https://doi.org/10.26524/cm211

Abstract

The paper focuses on the challenge of assessing the reliability of control systems. Reliability evaluation at the system level is crucial for understanding overall system performance and guiding system adjustments in response to component failures. However, the dynamic and interconnected nature of control systems makes traditional reliability engineering methods inadequate. This paper proposes a novel approach that involves identifying equivalent tie sets or cut sets to evaluate reliability based on control system performance. This method offers the advantage of easily re-evaluating reliability when faults are detected or control objectives change by updating the cut sets or tie sets.

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