Question

A double bay car wash with an exponential arrival rate and service time has cars arriving an average of 5 minutes apart, and an average service time of 4 minutes. The utilization factor of the system is __________

Answer 1

0.8

Step-by-step explanation:

The Utilization factor p ;

p = mean service rate (λ) / mean arrival rate (μ)

The mean arrival rate : 5 minutes apart

Mean service rate = 4 minutes

Hence, mean arrival rate λ per hour = 60 / 5 = 12 persons per hour

Mean service rate μ per hour = 60 / 4 = 15

Utilization factor p = (mean arrival rate / mean service rate)

p = 12 / 15

p = 0.8