The reservation office for Central Airlines has two agentsanswering incoming phone calls for flight reservations. A callercan be put on hold until one of the agents is available to take thecall. If all three phone lines (both agent lines and the hold line)are busy, a potential customer gets a busy signal, in which casethe call is lost. All calls occur randomly (i.e., according to aPoisson process) at a mean rate of 15 per hour. The length of atelephone conversation has an exponential distribution with a meanof 4 minutes.
(a)Construct the rate diagram for this queueing system.
(b) Find the steady-state probability that: (Show everycalculation)
1. A caller will get to talk to an agent immediately.
2. The caller will be put on hold, and
3. The caller will get a busy signal.
