Optimization of real-time multiserver system with two different channels and shortage of maintenance facilities

We present optimality conditions for real-time multiserver system with large number of identical servers (e.g. unmanned air vehicles, machine controllers, etc.) and two non-identical channels (e.g. surveillance regions, assembly lines, etc.) working under maximum load regime with limited maintenance facilities. Real-time systems are responsible for operations management of increasingly sensitive applications, particularly those in which failures to satisfy temporal restrictions can lead to serious or even dangerous consequences. Optimization of these systems is very important. We calculate limiting values of system availability and its loss penalty function and show how to obtain optimal assignment probabilities which optimize (maximize and minimize, respectively) these performance measures.