Analyze how efficiently he is serving his customers

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Reference no: EM132193040

Chez Samir, a famous hairdresser for women in Hamra, hired a DCSN student to analyze how efficiently he is serving his customers. He works alone. The student has found that the time to serve a customer has a mean of 30 minutes and a standard deviation of 6 minutes. Customer arrivals follow a Poisson distribution with an average of 60 minutes between arrivals.

1. What is the Kendall notation for this system?

2. What is the probability that a customer does not have to wait at Samir’s shop before cutting her hair?

3. What is the average number of customers waiting for their haircut?

4. Based on this report how long does a customer spend Chez Samir?

5. On Sundays, the shop is open only for brides. The arrival rate is the same as for any other regular day, but the service time is much longer. Samir spends on average 75 minutes for each bride, with a standard deviation of 6 minutes. What is the average number of brides waiting, and how long would each bride spend in the shop?

6. In the evening, Samir’s father takes over. He is more experienced, however he likes to chitchat more with the clients. Hence even though he still serves customers in 30 minutes on average, the variation in his service time is higher than Samir’s. How do you think this will impact the waiting time in the shop during evenings, compared to when Samir is working? Explain.

Reference no: EM132193040

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