Designing experiments for estimating an appropriate outlet size for a silo type problem

Jam formation is a problem that may occur when granular material discharged by gravity from silo. The estimation of the minimum outlet size, which guarantees time to next jamming event long enough, can be crucial in industry. modeled an exponential distribution with two unknown parameters, and this goal translates precise nonlinear transformation parameters. We obtain c-optimum experimental designs purpose, applying graphic Elfving method. Because optimal depend on nominal values we conduct sensitivity analysis our dataset. Finally, simulation study checks performance approximations, first Fisher Information matrix, then linearization function estimated. results are useful for experimenting laboratory translating real scenario. From application develop general methodology estimating one-dimensional parameters model.