This paper presents a simulation performance improvement of the application of the Multicomponent Discrete Time System Specification (MultiDTSS) formalism to a fire spread. Multicomponent choice is explained through both Multicomponent systems and networks of systems critical study for cell spaces modeling and simulation. A new function has been appended to the MultiDTSS formalism to achieve the Active MultiDTSS formalism extension. This function allows reducing the calculation domain of diffusion problems to active cells thus reducing execution time. The two formalisms have been implemented and are compared with a qualitative and quantitative analysis.