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Problem: Suppose that a customer calls a call-center every minute on average and an agent can help a customer in 3 minutes on average. Both the time between customer calls and the time it takes an agent to help a customer are exponentially distributed.
a) What is the minimum number of agents needed so that the call-center is a feasible system?
b) Suppose that there are 5 agents. What is the percentage of customers, who does not have to wait in line until an agent starts helping them?
c) As a customer, when you call this call center (with 5 agents), what is the probability that there are exactly three customers waiting in front of you for an agent?
d) With 5 agents, what is the percentage of customers, who wait for an agent more than the average time it takes to reach to an agent?
Verified Expert
In this assignment, we had problems related to customer calls to s call-center. As customer calls every minute on average and they need an agent who can help in 3 minutes on average. Thus we found out the minimum number of agents needed so that the call-center is a feasible system.
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