A Stochastic Model for Performability and Sensitivity Analysis of a Self-Indicating System

A Stochastic Model for Performability and Sensitivity Analysis of a Self-Indicating System
  IJETT-book-cover           
  
© 2025 by IJETT Journal
Volume-73 Issue-8
Year of Publication : 2025
Author : Apoorva, Gulshan Taneja and Amit Manocha
DOI : 10.14445/22315381/IJETT-V73I8P121

How to Cite?
Apoorva, Gulshan Taneja and Amit Manocha,"A Stochastic Model for Performability and Sensitivity Analysis of a Self-Indicating System", International Journal of Engineering Trends and Technology, vol. 73, no. 8, pp.244-253, 2025. Crossref, https://doi.org/10.14445/22315381/IJETT-V73I8P121

Abstract
The advancement of numerous technical fields has resulted in the development of complex systems. A notable innovation in this landscape is the self-indicating system – a purposefully designed mechanism or device that autonomously provides feedback or information about its own state, condition, or operation. This autonomy eliminates the reliance on external signals or inputs. The present paper investigates the stochastic model of a single-unit self-indicating system. When the system senses disruptions in its functioning, it enters a self-indicating mode and uses its built-in processes to give signals of the disruptions. Subsequently, a repairman conducts an inspection for repair, replacement, or maintenance. Preventive/corrective maintenance is performed frequently to enhance system productivity. Regenerative and Markov processes are used to accomplish stochastic analysis of the system. Expressions for performance metrics, including system reliability, Mean Time To Failure (MTTF), availability and busy period, are derived in this article. Additionally, the profitability of the system is discussed through the development of a profit function. Sensitivity functions for the derived measures are also defined. All the time distributions used in the study are considered general. A numerical analysis is conducted to validate the developed model by assuming all time distributions are exponential with specified parameter values. Lower/upper bounds for system profitability and factors affecting the least/most the various performance measures are obtained.

Keywords
Self-Indicating system, Stochastic model, Regenerative process, Markov process, Profit function, Sensitivity analysis.

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