[SystemSafety] What do we know about software reliability?

Peter Bishop pgb at adelard.com
Tue Sep 15 20:51:00 CEST 2020


On 15/09/2020 11:28, Peter Bernard Ladkin wrote:
>
> On 2020-09-15 11:21 , Coq, Thierry wrote:
>> ...Ariane A501 flight has disproved any probabilistic approach on software that would not
>> start with a frequency of failure of 1. 

I have to disagree. It does not disprove the probabilistic approach. The
point of the tests is to set an upper bound on the likelihood of failure.

Statistical test should use a realistic profile for the tests. So for
Ariane V, if you ran the system in an iron bird simulator with a Ariane
V launch profile, it would indeed crash first time - so the bound is
effectively 1 given the test result.

>From this we would conclude it is highly unlikely to have a crash
probability better than 10-2 (or some such desired target).

If we fixed the bug and and then ran 300 simulated launches without
failure we conclude it would meet the target with 95% confidence.

It does not mean the system is bug-free, just that any bugs that may be
present are unlikely to be activated for a realistic profile.

If you fixed the original bug and and did not do the 300 tests, what
confidence would you have that the next launch of the Ariane V would
succeed?
- might be cheaper to do the tests rather than finding out the hard way.

Peter

> I have no idea what this sentence means.
>
> I think everybody would agree that the environmental circumstances leading to failure of the Ariane
> FLight 501 control system were certain to arise during launch. I don't see what probability has to
> do with it.
>
> Whatever people's inclinations to statistical evaluations of SW, we are about to be deluged by it.
> The DLNN assistance functions in the automation of road vehicles can at present only be justified by
> an assessment of their in-service behaviour. There are going to be numerical requirements on their
> dependability and vendors will be providing argument that those numerical requirements are fulfilled.
>
> The statisticians know well how much evidence has to be produced in order to derive conclusions on
> reliability to an appropriate level of confidence. (See, for example, Peter Bishop's comment here on
> the Tempe accident.) It is a lot higher than what, as far as I can tell, the vendors of such
> equipment are likely be able to produce. What's going to happen?
>
> PBL
>
> Prof. Peter Bernard Ladkin, Bielefeld, Germany
> Styelfy Bleibgsnd
> Tel+msg +49 (0)521 880 7319  www.rvs-bi.de
>
>
>
>
>
>
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-- 

Peter Bishop
Chief Scientist
Adelard LLP
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