A train reservation facility has 5 counters each capable of handling 20 request per hour. The persons coming for reservation arrive at a mean rate of 90/hour. Assume that each person comes with one request only.
Calculate –
- The mean number of persons at any time at this facility.
- the mean time a person spends at the facility
- the average length of queue at each counter when (1) the time to serve a request is constant and (2) the time to serve a request is exponentially distributed with the same mean rate i.e. 20/hour.
- What would happen to the queue if the arrival rate was to reach 105/hour?