For each situation given below show, give the Kendall notation,
arrival rate, service rate, number of servers, maximum number
in the system, and maximum number in the queue.
a. A professor supervises four Ph.D. students who all need
quite a bit of advice. The students are quite similar regarding
their habits. When a student visits a professor, the time to
the next visit has an exponential distribution with a mean of
4 hours. The time for the professor to advise a student has
a mean value of 1/2 hour. This time has an exponential distribution.
b. Calls arrive to a telephone switchboard at a rate of 40
per hour. There are two telephone operators who answer the calls
and one holding line. A caller receives a busy signal when both
operators are busy and a customer is waiting on the holding
line. We assume that such a customer will balk. The time required
for the operator to answer a caller has an exponential distribution
with a mean of 2 minutes.
