Students arrive at the Administrative Services Office at an average of one every 8 minutes, and their requests take on average 12 minutes to be processed. The service counter is using a single line and is staffed by three clerks. Assume Poisson arrivals and exponential service times. a. How much time, on average, does a student spend waiting in line? Prepare for the VUT calculation. a (avg. inter- s (avg. service m (number arrival time) time) u (avg. utilization) CV₁ (coef. of var.- arrival) CVs (coef. of var.- service) of servers) Show the VUT calculation and final answer to the question: b. How many students are waiting in the line on average?

Q&A Education