This is another model that is used in the queuing theory to get answers related to this system. In this system, both arrival and departure rates are taken to be as per the Poisson theory, with µ andλ. Though in case of this system, there is a single server available, the capacity associated with this system happens to be infinite.
Here are some of the sums that are there, solving which will help students get a better idea of this whole process.
Sum 1: It can be seen that a single-man barber shop, customers keep arriving at the rate of 4 people per hour in the form of Poisson theory. Also, the time was taken to cut the hair was exponentially distributed with an average time-limit of 12 minutes. If there is no restriction on formation of the queue system, how to calculate the following?
Sum 2: A public booth is present, where arrival rate is calculated in regards to Poisson distribution, where average interval of time is taken to be at 10 minutes.If it is taken that service provided by telephone booth is distributed in an exponential manner, then time limit is taken to be at 2.5 minutes.
How to calculate?
Once a student solves these sums, conceptual clarity will be better.