Question

At a workstation, 5 jobs arrive every minute. The mean time spent on each job in the workstation is 1/8 minute. The mean steady state number of jobs in the system is

• A. 1.67

Answer 1

The correct option is A 1.67
$\lambda \left(\text{arrival rate}\right)=5\text{jobs/minute}$

$\mu \left(\text{service rate}\right)=8\text{jobs/minute}$

$\text{No. of jobs in the system,}$

$L_S=\frac{\lambda }{\mu -\lambda }=\frac{5}{8-5}=\frac{5}{3}=1.67$