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The realistic simulation of variable star populations is fundamental todetermine the selection function and contamination in existing and upcomingmulti-epoch surveys. We present \ellisa, a simulator that produces an ensembleof mock light curves for a population of eclipsing binaries obtained fromphysical and orbital parameters consistent with different galactic populations,and which considers user-supplied time sampling and photometric errors torepresent any given survey. We carried out a search for eclipsing binaries inthe QUEST low-galactic latitude catalogue of variable stars, spanning an areaof 476 sq. deg at $-25^\circ \la b \la 30^\circ$ and $190^ \circ \leqslant l\leqslant 230^ \circ$ towards the galactic anti-centre, and use \ellisa~tocharacterise the completeness of the resulting catalogue in terms of amplitudesand periods of variation as well as eclipsing binary type. The resultingcatalogue consists of $1,125$ eclipsing binaries, out of which $179$, $60$ and$886$ are EA, EB and EW types respectively. We estimate, on average, $30\%$completeness in the period range $0.25 \la P/d \la 1$ for EB+EW binaries and$15\%$ completeness for EA binaries with periods $2 \la P/d \la 10$, being thetime sampling the primary factor determining the completeness of each type ofeclipsing binary. This is one of few eclipsing binary catalogues reported withan estimate of the selection function. Mock eclipsing binary light curvelibraries produced with \ellisa~can be used to estimate the selection functionand optimise eclipsing binary searches in upcoming multi-epoch surveys such asGaia, the Panoramic Survey Telescope and Rapid Response System, the ZwickyTransient Factory or the Large Synoptic Survey Telescope.

QUEST Eclipsing Binaries and ELLISA: Eclipsing binary search in the QUEST low latitude catalogue and the ELLISA light curve simulator