Technion - Israel Institute of Technology
A multi-class many-server system is considered, in which customers are served according to a non-preemptive priority policy and may renege while waiting to enter service. The service and reneging time distributions satisfy mild conditions. Building on an approach developed by the researchers, the law-of-large-numbers many-server asymptotics are characterized as the unique solution to a set of differential equations in a measure space, regarded as fluid model equations. In stationarity, convergence to the explicitly solved invariant state of the fluid model equations is established.