# Poisson and Exponential Distributions Waiting Line Models Arrival and Service Time Distributions (Exhibits 7.6 amp; 7.7) In Minutes Mean arrival…

Poisson and Exponential Distributions Waiting Line Models Arrival and Service Time Distributions (Exhibits 7.6 amp; 7.7) In Minutes Mean arrival….

2) During slack times, 10 potential customers per hour arrive at the booth (assume a Poisson distribution). A booth worker takes 3.75 minutes, on average, to meet the information needs of a potential customer (assume an exponential distribution).

• How many booth workers are required for the average potential customer to spend no more than 5 minutes waiting and being served? How many potential customers are waiting to be served, on average? What is the utilization rate of the booth workers?
• How many booth workers are required for the average potential customer to spend no more than 4 minutes waiting and being served? How many potential customers are waiting to be served, on average? What is the utilization rate of the booth workers?
• Perform a financial analysis of the two alternatives, using estimates of your choosing for the various costs. You might want to think about the cost of waiting for the customers. Which of the two alternatives would you choose? Why?

Poisson and Exponential Distributions Waiting Line Models Arrival and Service Time Distributions (Exhibits 7.6 amp; 7.7) In Minutes Mean arrival…