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The reservation office for Central Airlines has two agents answering incoming phone calls for flight reservations....

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Operations Management

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.

Answer & Explanation Solved by verified expert
4.3 Ratings (1082 Votes)
There are 2 agents and 3 lines Model is finite queue of MMsKmodelArrival rate 15 per hrService rate 604 15 per hrs 2K Max    See Answer
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