by the negative exponential probability distribution. This is a mathematically convenient assumption if arrival
rates are Poisson distributed.
The exponential distribution is important to the process of building mathematical queuing models because many
of the models‟ theoretical underpinning are based on the assumption of Poisson arrivals and exponential
services. Before they are applied, however, the quantitative analyst can and should observe, collect, and pilot
service time data to determine if they fit the exponential distribution.