Large-scale data intensive applications with real-time requirements are currently emerging in many disciplines of science engineering. Such applications can benefit from a Grid enviroment provided that an efficient solution to the following data scheduling problem can be found: Schedule the transfer of a set of large-scale data objects of distributed applications in a Grid environment so as to meet real-time constraints associated with these data transfers. Based on this premise, this paper focuses on the aforementioned problem and proposes a new effective path-selection based scheduling algorithm. The algorithm performs its optimization based on a schedule reflection model; a new cost sriterion that takes into account the satisfiability of each application as a whole. We show, by simulation, that our algorithm improves the performance of data intensive real-time applications.