Discrete Time System Reliability with Protection Blocks: Consecutive k-out-of-n:G System

A research paper presenting a matrix-based method for evaluating the reliability of discrete time systems equipped with protection blocks. The work focuses on the consecutive k-out-of-n:G system and considers component lifetimes with a phase-type distribution. The paper, authored by Serkan Eryilmaz, was last updated on 2026-05-28 and is shared under a CC-BY-4.0 license.

Use Cases

• Modeling discrete time system reliability based on the described protection mechanism.
• Evaluating the reliability of consecutive k-out-of-n:G systems using the derived matrix-based expression.
• Analyzing system performance when component lifetimes follow a phase-type distribution.

Strengths

• Provides an exact matrix-based expression for reliability evaluation.
• Considers both discrete-time and continuous-time settings for the protection mechanism.
• The source file is 43.3 KB, indicating a focused and specific technical contribution.

Limitations

• The dataset is a 43.3 KB TEX file, which is a very small academic paper, not a traditional data collection.
• Row count and column-level documentation are absent; the content is theoretical.
• Freshness should be verified as the last update date is in the future (2026-05-28).

Provenance

Source

figshare

Collection Method

Theoretical research and derivation.

Freshness

Last updated 2026-05-28 21:20:53