By connecting an output channel to an input channel of another DLM networks of DLMs can be built. As the input of a network receives an event, the corresponding message is routed through the network while it is being processed and eventually a message appears at one of the outputs. At any given time during the processing, there is only one input-output connection in the network that is actually carrying a message. The DLMs process the messages in a sequential manner and communicate with each other by message passing only.

The update rules and selection process that define the DLM are not unique. In fact, we use three different variants. Independent of which type of DLM is used, the DLM network can generate data such that the averages agree with those of quantum theory.