Analysis of a Reliability Model of an Off-Grid Solar System and a Generator Under Conditional Repair

Authors

  • Lalit Kumar Department of Statistics, Amity Institute of Applied Sciences, Amity University, India
  • D. Pawar Department of Statistics, Amity Institute of Applied Sciences, Amity University, India
  • Kailash Kumar Department of Statistics, LSR College for Women, University of Delhi, India

DOI:

https://doi.org/10.63278/1382

Keywords:

Reliability, Semi-Markov, Minor Repair, Major Repair, Activation, Inspection.

Abstract

In this paper, a reliability model of an off-grid solar system (subsystem-A) and a generator (subsystem-B) is developed to analyze the numerous reliability measures such as mean time to system failure, availability, busy period of the technician and profit of the system model. Subsystem-A is a primary source of electricity and is initially operative whereas subsystem-B is a backup unit in cold standby mode. A technician is hired to perform all the repair and associated activities who attends subsystem-A at its failure and starts its repair instantly, whereas subsystem-B undergoes inspection to identify the requirement of minor/major repair. Failure and repair rates are distributed exponentially while general distribution is taken for activation rate of subsystem-A and operation rate for both the subsystems. Semi-Markov process and regenerative point techniques are applied to find the reliability measures. For arbitrary values, MTSF and profit of the system model are analyzed, and their graphs are drawn to show the impact of conditional repair on the system model. From the outputs we observe that the conditional repair policy plays key role while optimizing the MTSF and profit of the system model.

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How to Cite

Lalit Kumar, D. Pawar, and Kailash Kumar. 2025. “Analysis of a Reliability Model of an Off-Grid Solar System and a Generator Under Conditional Repair”. Metallurgical and Materials Engineering 31 (3):332-39. https://doi.org/10.63278/1382.

Issue

Vol. 31 No. 3 (2025)

Section

Research

License

Copyright (c) 2025 Lalit Kumar, D. Pawar, Kailash Kumar

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