2025, Vol. 7, Issue 8, Part C

Author(s): Anju Dhall and Seema Bansal

Abstract: The objective of this paper is to analyze probabilistically of key performance measures of a human system comprising two identical kidneys, focusing on the repair process before a pre-determined time ‘t’. The system continues to work effectively as long as at least one kidney is functioning well. Immediate medical interventions, such as dialysis or other procedures, are assumed to be available. If a kidney is not repaired within the maximum allowable time, it is replaced. The study uses the concept of a base state to evaluate the sensitivity of the affected individual’s organ capacity factor, along with a fuzziness measure for the renal system, both considered to be statistically independent. The time-to-failure, time to repair, and time to replacement follow a negative exponential distribution, while the actual durations for repair and replacement are treated as arbitrary distributions. To derive steady-state expressions for system performance metrics, the analysis employs a semi-Markov process along with a regenerative point graphical technique. A specific case is presented to illustrate the behavior of metrics such as the mean time to system failure (MTSF), availability, and the busy periods associated with different functional states.

DOI: 10.33545/27068919.2025.v7.i8c.1639

Pages: 169-174 | Views: 426 | Downloads: 30

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