Service Operations Management
... A store in Sunnyville is interested in providing good service to senior citizens who shop in his store. ... The senior citizens arrive at an average rate of 30 per hour, according to a Poisson distribution, and are served at an average rate of 35 per hour, with exponential service times. ... 26 minutes (f) What service rate would be required to have the customers average only 8 minutes in the system? ... 59 (g) For the service rate in part (f), what is the probability of having more than 4 customers in the system? ... 323775994 (h) What service rate would be required to have only a 10% chance of exceeding 4 customers in the system? ... Sharp Discounts Wholesale Club has two service desks, one at each entrance of the store. Customers arrive according to a Poisson distribution at each service desk at an average of one every 6 minutes. The exponentially distributed service time is 4 minutes per customer. (a) What percentage of the time is each service desk idle? ... 3% (b) How many customers, on average, are waiting in line at each service desk? ... 333 (c) How much time does the average customer spend at the service desk (waiting plus service time)? ... 2 or 12 minutes Sharp Discounts Wholesale club is considering consolidating its two service desks into one location, staffed by two clerks.