  This paper describes the simulation framework of the Extreme Energy Events
(EEE) experiment. EEE is a network of cosmic muon trackers, each made of three
Multi-gap Resistive Plate Chambers (MRPC), able to precisely measure the
absolute muon crossing time and the muon integrated angular flux at the ground
level. The response of a single MRPC and the combination of three chambers have
been implemented in a GEANT4-based framework (GEMC) to study the telescope
response. The detector geometry, as well as details about the surrounding
materials and the location of the telescopes have been included in the
simulations in order to realistically reproduce the experimental set-up of each
telescope. A model based on the latest parametrization of the cosmic muon flux
has been used to generate single muon events. After validating the framework by
comparing simulations to selected EEE telescope data, it has been used to
determine detector parameters not accessible by analysing experimental data
only, such as detection efficiency, angular and spatial resolution.
