The Distributed Real-Time Thread is an emergent concept for distributed real-time systems. Distributed Threads are schedulable entities with an end-to-end deadline that transpose nodes, carrying their scheduling context. Mechanisms for predicting the missing of deadlines are fundamental because corrective actions can be incorporated for improving system quality of service. In this work we propose an end-to-end deadline missing prediction mechanism called Available Remaining Slack (ARS). Simulations show that the proposed prediction mechanism presents good results for improving the overall performance and availability of distributed real-time systems.