Existing work on the analysis of real-time embedded multi-core systems using point-interval prioritized time Petri nets has the following limitations. (1) Point-interval prioritized time Petri nets only consider the case where the execution time of each task is a fixed value, but in many practical applications, the execution time of a task is generally within a range so that this kind of model cannot be used to analyze these applications. (2) There is a lack of automatic transformation from task dependency graphs to this point-interval prioritized time Petri nets, and thus it is inconvenient for engineering designers. (3) The case of mutually exclusive access to shared variables has not been considered. To address these issues, this study defines prioritized time Petri nets (Pri-TPN) to overcome the first limitation and introduces a task dependency graph with resource allocation and priority (TDG-RAP) to overcome the third limitation. It develops algorithms based on Pri-TPN for analyzing the worst-case execution time (WCET) and system deadlocks of tasks. Additionally, a tool software is developed to facilitate its use by engineering designers.