Question

QUEUE TEORY

Father Mulcahy currently uses two confessionals with separate rows to serve the needs of his parishioners. Arrivals have been found to be random, at an average rate of 30 people per hour, and service time tends to be random as well, since the number of sins per person can differ greatly. The average time spent in the confessional has been determined to be 3 minutes. It has also been obtained that arrivals are distributed equally between the two lines. Father Mulcahy is considering switching to a single-row system that powers both confessionals. The parent wants to know which system (current or proposed) will lead to the shortest average time in the system for their parishioners.

Answer 1