2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146504We consider a generalized version in continuous time of the parking problem of Knuth. Files arrive following a Poisson point process and are stored on a hardware identified with the real line. We specify the distribution of the space of unoccupied locations at a fixed time and give its asymptotics when the hardware is becoming full.25 pagesProbability60D05; 60G51; 68B15text