What is Erlang distribution?

Input

mu = mean value (expected value) and sigma = standard deviation in days, hours, minutes, seconds (all in the 0000:00:00:00 format)

As duration, a value in line with the Erlang distribution is output for each processing time. Erlang distribution is the total of a set of independent exponentially distributed random events with the same standard deviation. It is intended for the distribution of time spans between independent events, such as interarrival times in queuing systems: