2707. Reliability Modeling of k-out-of-n: G Systems with Repair Delays Under N-policy
Invited abstract in session TD-54: Stochastic models in service operations, stream Stochastic modelling.
Tuesday, 14:30-16:00Room: Liberty 1.08
Authors (first author is the speaker)
| 1. | Akhil Vijayan R
|
| Mathematics, Central University of Kerala | |
| 2. | Manikandan Rangaswamy
|
| Department of Mathematics, Central University of Kerala |
Abstract
We consider the reliability analysis of a k-out-of-n: G system under the N-policy of repair and the activation time of repair facility. The k-out-of-n: G system, which is a widely used configuration in reliability engineering, requires atleast k components to function properly for the entire system to be considered operational. The N-policy introduces a repair mechanism wherein the system initiates the repair only once the number of working components reduces to a specific threshold N due to failure, which is critical in optimizing the repair process. In this study, we incorporate both repair and activation time delay of the repair facility into the reliability model, acknowledging the uncertainty in the repair process and the time required to activate the repair facility. Using a combination of probabilistic methods and mathematical modeling, we derive the transient probabilities of the system. We evaluate key reliability metrics and explore the impact of varying the threshold N and different parameters on the system performance. We delve into a cost optimization problem to obtain the optimal threshold N in this model. Our results provide valuable insights into how the N-policy and activation time influence the overall system reliability, offering guidance for the design and optimization of real world problems employing repair strategies. The findings contribute to the development of more efficient maintenance policies in industrial systems.
Keywords
- Reliability
- Stochastic Models
- Stochastic Optimization
Status: accepted
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