We consider the problem of determining the expected waiting time of arrival
s at a particular queueing station in a multi-system configuration with a s
ingle server operating under a time-limited polling discipline. At each sta
tion, we assume Poisson arrivals and a general service distribution, which
does not have to be the same at each station. A simple and accurate interpo
lation approximation is developed for this mean and compared with known and
simulation results.