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Consider the call center model with 8 agents and ability to put at most 4 callers...

Consider the call center model with 8 agents and ability to put at most 4 callers on hold. Calls arrive according to a Poisson process with rate 60 calls per hour. Call handling times are i.i.d. exponential random variables with mean 6 minutes. Any call that arrives when all agents are busy and 4 callers are on hold, is lost. What is the expected time when all agents are busy in an 8-hour shift? Assume none of the agents is busy at the beginning.

math   Statistics-And-Probability   
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