Just Another Method to Compute MTTF from Continuous Time Markov Chain

TL;DR

This paper introduces a straightforward and intuitive method to compute the Meantime to Failure from Continuous Time Markov Chain models by solving a system of linear equations, simplifying previous approaches.

Contribution

It presents a new, simpler method for calculating Meantime to Failure from CTMCs, making the process easier to implement.

Findings

Method is easy to implement and understand.

Reduces computational complexity compared to existing methods.

Applicable to various reliability and performance analyses.

Abstract

The Meantime to Failure is a statistic used to determine how much time a system spends to enter one of its absorption states. This statistic can be used in most areas of knowledge. In engineering, for example, can be used as a measure of equipment reliability, and in business, as a measure of processes performance. This work presents a method to obtain the Meantime to Failure from a Continuous Time Markov Chain models. The method is intuitive and is simpler to be implemented, since, it consists of solving a system of linear equations.