We consider a real-time multiserver (such as unmanned air vehicles or machine controllers) and multichannel (such as surveillance regions or assembly lines) systems working under maximum load regime with shortage of maintenance crews (less than the number of servers). In such systems, a job arriving is served immediately upon arrival (conditional on system availability) without delay. That part of the job which is not served immediately is lost forever and cannot be processed later. We show how to compute equilibrium (steady state) probabilities of real-time systems, when both maintenance and service times are exponentially distributed (birth and death stochastic process). Then we also compute various important system parameters (including its availability) and provide some numerical results.
- Birth and death process
- Real-time system
ASJC Scopus subject areas
- Modeling and Simulation
- Computer Science Applications