- 1 Marks
Question
In a simple queue, if the arrival rate is 5 customers in 15 minutes and the service rate is 8 customers in 12 minutes. the traffic intensity or utilization factor is
A. 0.25
B. 0.50
C. 0.55
D. 0.65
E. 1.00
Answer
Answer: B
Explanation:
The correct answer is B (0.50). Here’s how we arrive at this solution:
- First, we need to convert both rates to the same time unit. Let’s convert them to customers per hour. Arrival rate: 5 customers in 15 minutes = (5 * 60) / 15 = 20 customers per hour Service rate: 8 customers in 12 minutes = (8 * 60) / 12 = 40 customers per hour
- The traffic intensity (ρ) is calculated as: ρ = arrival rate / service rate
- Substituting our values: ρ = 20 / 40 = 0.5
Therefore, the traffic intensity or utilization factor is 0.50 or 50%.
- Tags: Arrival Rate, Queuing Theory, Service Rate, Traffic Intensity
- Level: Level 1
- Topic: Operations Research
- Series: MAY 2016
- Uploader: Kwame Aikins