A Component-Testing Procedure For A Parallel System With Type II Censoring

We consider the problem of acceptance testing for a parallel (1-out-of-n:G) system of n different components with constant failure rates. The components are individually tested and the tests are terminated as soon as a preassigned number of each component fails. This paper provides a criterion for accepting or rejecting the system based on the product of the total times on test for each component. The critical level for the test statistic is chosen so as to guarantee that the specified levels of consumer and producer risks on the system reliability are not exceeded. If the testing costs depend on the number of each component tested, aminimum-cost procedure can be found from the feasible set of plans.