What is the queuing model of the company

Reference no: EM132301260

Question: Queuing Theory

Company ABC wants to hire seasonal workers to answer phone calls. Suppose that calls to the phone center occur at a rate of 60 per hour and follow a Poisson distribution and each staff can answer an average of 5 calls per hour that follows exponential distribution. Right now, 10 workers are working at the phone center and when all the lines are busy, the phone system can keep 5 additional calls on hold.

a) What is the queuing model of this company?

b) What is the probability that a caller receives a busy signal?

c) What is the probability that a caller is put on hold before receiving service?

d) On average, how long must a caller wait before speaking with the staff?

e) How many additional staff would be required if the Company ABC wants no more than a 5% chance of a caller receiving a busy signal?

Reference no: EM132301260

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