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Abstract
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In this paper, we compare the optimal k-level constant and step stress accelerated life tests (CSALTs and SSALTs) for the Lomax failure data under progressive Type I censoring and a cost constraint. Due to constrained resources in practice, stress durations must be determined carefully at the design stage to run an accelerated life test efficiently. The stress durations directly affect the experimental cost and the estimate precision of the parameters of interest. We compare the optimal stress durations based on five optimality criteria under the constraint that the total experimental cost does not exceed a prespecified budget. Based on the numerical results, the cost constraint reduces cost and time of the test. It is found that, in both stress loading, the C-optimal design has the lowest cost and time for the unconstrained testing. Finally, a real data set is analyzed for illustrative purposes.
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