In the article Calculating Network Reliability the lack of published analytical solution for dual-ring network reliability was highlighted. This article provides a neat solution and further challenges readers to offer their proof or prior publication reference. The solution and the author’s general proof will be presented at RAMS 2020.
I have worked in the field of reliability for a good many years. I have presented both beginner and advanced reliability engineering courses. I have even read several books. 🙂 But, across all this, component redundancy has never been explained beyond simple serial and parallel configurations.
So, it was a shock to my system to be presented with a scenario that couldn’t be solved using a simple parallel system.
My previous work had challenged me only as far as:
- Active parallel
- Stand-by parallel
- M-out-of-n parallel
- Keystone-component parallel
But now I was being challenged by a network that was none of these.
Speaking reliability-wise, parallel, means any of the elements in parallel structure permit the system to function. This does not mean they are physically parallel (in all cases), as capacitors in parallel provide a specific behavior in the circuit and if one capacitor fails that system might fail.
In this simple drawing, there are n components in parallel and any one component is needed for the system to function. [Read more…]