The effect of heat loss on the propagation limits of combustion front is studied by considering one-dimensional chain of discrete point sources using two systems, namely (i) periodic and (ii) disordered. Each point source in the system is characterized by heat loss parameter (beta). Unstable modes of combustion front propagation in periodic system have been detected with the manifestation of bifurcation patterns for different value of heat loss. Combustion front rate, quenching of combustion front for periodic and several disordered systems are investigated theoretically at different value of heat loss. It has been found that the heat loss in the nonadiabatic system does not affect the burn rate, although it plays a vital role in deciding the combustion limit. Theoretical results of combustion limit and burn rate have been compared with available experimental data.