A restaurant at a popular Colorado casino provides priority service to player's card holders. The restaurant has 10 tables or booths where customers may be seated. The service time (time a booth or table is occupied) averages 40 minutes once a party is seated. The customer arrival rate is 12 parties per hour, with the parties being equally divided between card holders and people without player's cards. On average, how much longer do parties without player's cards spend in the system, compared to parties with the player's cards?

Question

Quizplus · Accepted Answer

The restaurant operates as an M/M/10 queue system. With priority given to card holders, non-card holders experience longer wait times. Using queueing theory, the difference in time spent in the system between non-card holders and card holders is approximately 8 minutes.

A Restaurant at a Popular Colorado Casino Provides Priority Service