It is shown that Bohmian mechanics applied to describe electron transport in open systems (in terms of waves and particles) leads to a quantum-trajectory Monte Carlo algorithm where randomness appears because of the uncertainties in the number of electrons, their energies and the initial positions of the trajectories. The usefulness of this formalism to provide predictions beyond DC, namely AC regime, transient and noise, in nanoelectronic devices, is proven and discussed in detail. In particular, we emphasize the ability of this formalism to provide a straightforward answer to the measurement of the total current and its advantages to deal with the many-body problem in electron transport scenarios. All the results presented along the manuscript have been obtained using the electron device simulator BITLLES. © 2013 Springer Science+Business Media New York.