This paper addresses the optimal design problem for constant-stress accelerated degradation tests using inverse Gaussian (IG) process models. Unlike previous studies that primarily focussed on optimizing stress levels and sample sizes, this research uniquely emphasizes the critical role of measurement timing as a design variable. We investigate D-, A-, and V -optimal designs for IG processes, both with and without random effects. Our study derives analytical solutions for optimal measurement time schedules in IG processes characterized by linear degradation paths and provides numerical solutions for those with nonlinear degradation paths. To streamline the search for optimal time schedules, we employ a lower-dimensional parameterization method that mitigates the substantial computational burden. This approach facilitates the generation of multiple measurement times using only a limited number of design variables. The numerical results highlight the significant impact of optimal time scheduling on enhancing the efficiency and effectiveness of accelerated degradation test designs.
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