2 Staffing at the Optimal Utilization A large theme park is attempting to staff its check-in desks. Currently, the arrival rate is 1 = 364.5 customers per hour, and each server can check-in u = 81 customers per hour on average. Assume the interarrival and service times follow an exponential distribution. 6. Recall that the equilibrium (optimal) utilization gives us the point at which the excess capacity Hi - pu equals the mean queue size (average number in the queue) E [Lq]. To help the theme park manager, we can solve the optimal utilization p* in terms of s by expressing p* as (1/s*)/H, since each server is expected to take on 1/s* arrivals. The result is: (v+1) s* What is the optimal staffing level (number of servers)