Question

In a queuing model-arrival rate 3/hr, mean service time 15 min, wage rate. Rs. 4/hr, idle cost Rs. 6/hr. What will be the cost of queuing model for one hour ?

• A. Rs. 18
• B. Rs. 22
• C. Rs. 16
• D. Rs. 26

Answer 1

The correct option is B Rs. 22

$\lambda =3/\text{hr}$, $\mu =4/\text{hr}$

$\rho =\frac{3}{4}=0.75$

$L_s=\frac{\rho }{1-\rho }=\frac{0.75}{1-0.75}=3$

$\text{Cost = Length of system}\times \text{idle cost/hr}\times \text{Time + Wage rate}\times \text{time}$

$\text{Cost}=3\times 6\times 1+4\times 1=\text{Rs}.22$