A service station has one gasoline pump. Cars wanting gasoline arrive according to a Poisson process at

Question:

A service station has one gasoline pump. Cars wanting gasoline arrive according to a Poisson process at a mean rate of 15 per hour. However, if the pump already is being used, these potential customers may balk (drive on to another service station). In particular, if there are n cars already at the service station, the probability that an arriving potential customer will balk is n/3 for n = 1, 2, 3. The time required to service a car has an exponential with a mean of 4 minutes.
(a) Construct the rate diagram for this queueing system.
(b) Develop the balance equations.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...