A single bay car wash with an exponential arrival rate and service time has cars arriving an average of 10 minutes apart,and an average service time of 4 minutes The utilization factor is:
A)0 24
B)0 4
C)0 67
D)2 5
E)None of the above

Question

A single bay car wash with an exponential arrival rate and service time has cars arriving an average of 10 minutes apart,and an average service time of 4 minutes The utilization factor is:
A)0 24 
B)0 4 
C)0 67 
D)2 5
E)None of the above

Quizplus · Accepted Answer

The utilization factor is calculated as the arrival rate divided by the service rate. The arrival rate is 1 car per 10 minutes (0.1 cars per minute), and the service rate is 1 car per 4 minutes (0.25 cars per minute). Utilization factor = 0.1 / 0.25 = 0.4.

A Single Bay Car Wash with an Exponential Arrival Rate