For a single server, single queue system with an arrival rate of 8 customers per hour and a service rate of 10 customers per hour, what is the mean waiting time in the queue (to two decimal places)?
A) 0.40 hours
B) 0.50 hours
C) 3.20 hours
D) Cannot be determined from the information given

Question

Quizplus · Accepted Answer

The mean waiting time in the queue for an M/M/1 queue is given by the formula λ / (μ(μ - λ)), where λ is the arrival rate and μ is the service rate. Substituting the given values, 8 / (10(10 - 8)) = 0.40 hours.

For a Single Server, Single Queue System with an Arrival