Question

A grocery store has three open checkout lanes. On average, 45 shoppers arrive at these lanes per hour. The coefficient of variation of the interarrival time is equal to 1. The average service time for each lane is 18 customers per hour, and the coefficient of variation for the service time distribution is three minutes per lane.

Calculate the utilization factor of the system.

A.
0.833

B.
17.91

C.
3.58

D.
3

Answer 1

A.

0.833

Step-by-step explanation:

m = 3

Arrival rate, ra = 45 per hour

Service rate, re = 18 per hour per lane

Utilization factor = ra/(m.re)

= 45/(3*18)

= 0.833

Therefore, The utilization factor of the system is 0.833