At Joe's Pool Hall they rent tables by the hour and also rent Balabushka pool cues for purists that can't afford their own. The rental process for these cues is exhaustive and takes an hour and a half for each application. There are three leasing agents that conduct these interviews, and on average, it is one hour between customer arrivals.
-How many customers are either waiting or being served on average?
A) 1.5
B) 1.74
C) 1.98
D) 2.22

Question

Quizplus · Accepted Answer

The system can be analyzed using the M/M/3 queue model, where the arrival rate (λ) is 1 customer per hour and the service rate (μ) for each of the three agents is 2/3 customer per hour (since it takes 1.5 hours to serve one customer). The average number of customers in the system (L) can be calculated using the formula for M/M/c queues. Given the parameters, the calculation results in an average of approximately 1.74 customers either waiting or being served at any time.

At Joe's Pool Hall They Rent Tables by the Hour