A computer network-based distributed presentation system and process is presented that controls the display of one or more video streams output by multiple video cameras located across multiple presentation sites on display screens located at each presentation site. The distributed presentation system and process provides the ability for a user at a site to customize the screen configuration (i.e., what video streams are display at any one time and in what format) for that site via a two-layer display director module. In the design layer of the module, a user interface is provided for a user to specify display priorities dictating what video streams are to be displayed on the screen over time. These display priorities are then provided to the execution layer of the module which translates them into probabilistic timed automata and uses the automata to control what is displayed on the display screen.