The modeling formalism DEVS comes along with the abstract simulator - a description how to execute DEVS models. This scheme (formalism and separate simulator description) has been used for all DEVS like formalisms. However, a direct implementation of the abstract simulator is not necessarily the most efficient way to compute a model. Here we introduce a family of simulation algorithms which sequentially compute (parts of) a PDEVS model tree and evaluate their performance. For the later James II provides a coherent test setting.