Question

(d) Among all possible service-timé disiou fixed), the exponential distribution yields the largest value of 17.7-4. Marsha operates an expresso stand. Customers arrive a cording to a Poisson process at a mean rate of 30 per hour. The time needed by Marsha to serve a customer has an exponential dis tribution with a mean of 75 seconds. (a) Use the MIG/I model to find L. Lg W, and Wa Suppose Marsha is replaced by an expresso vending machin that requires exactly 75 seconds for each customer to operate Find L, L W and Wo c) What is the ratio of L, in part (b) to Lq in part (a)? r (d) Use trial and error with the Excel template for the MIG model to see approximately how much Marsha would need to reduce her expected service time to achieve the same l as with the expresso vending machine.

Answer 1