The main application for the presented model lies in the quantification of the process duration for a wide range of freezing settings in industry. We revealed that freezing in vials may occur in three regimes, the boundaries of which depend on the nucleation kinetics of the formulation. Knowledge of the kinetics thus is required to predict the process duration and to choose suitable packaging configurations and storage temperatures. Given that typical freezers in industry operate between -20°C and -40°C, while nucleation temperatures of lower than -20°C are commonly reported in literature, stochastic ice nucleation indeed governs the process behavior under practically relevant process conditions.