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This short paper describes a numerical method for optimising the conservativeconfidence bound on the reliability of a system based on tests of itsindividual components. This is an alternative to the algorithmic approachesidentified in Bishop and Povyakalo (RESS 2020). For a given maximum number ofcomponent tests, the numerical method can derive an optimal test plan for anyarbitrary system structure.  The optimisation method is based on linear programming which is moreefficient that the alternative integer programming. In addition, theoptimisation process need only be performed once for any given system structureas the solution can be re-used to compute an optimal integer test plan for adifferent maximum number of component tests.  This approach might have broader application to other optimisation problemsthat are normally implemented using integer programming methods.

Optimising the reliability that can be claimed for a software-based system based on failure-free tests of its components