Real Time Systems with Nonpreemptive Priorities and Shortage of Maintenance Teams

We consider a real time data acquisition and processing multiserver system with identical servers (such as unmanned aerial vehicles, machine controllers, overhearing devices, medical monitoring units, etc.) which can be maintained/programmed for different kinds of activities (e.g. passive or active). This system provides a service for real time tasks arriving via several channels (such as surveillance regions, assembly lines, communication channels, etc.) and involves maintenance. We focus on the worst case analysis of the system with shortage of maintenance teams, exponentially distributed time to failure and maintenance times. We consider the model with nonpreemptive priorities and provide balance equations for steady state probabilities and various performance measures, when both operation and maintenance times are exponentially distributed.