Question

At the stadium, there are eight lines for arriving customers, each staffed by a single worker. The arrival rate for customers is 190 per minute and each customer takes (on average) 2 seconds for a worker to process. The coefficient of variation for arrival time is 1.2 and the coefficient of variation for service time is 1.5. (1) How much time (in seconds) will an average customer spend in queue

Answer 1

3.287 Customers

Explanation:

Interarrival time (a) = 60 seconds per minute / 190 customers per minute = 0.316 seconds.

Utilization = p / (a × m) = 2 / (0.316 × 8) = 0.792.

Number in queue = Tq / a = 1.038 / 0.316 = 3.287 customers.