20 Teletraffic Engineering Quiz Questions and Answers

Teletraffic Engineering is a specialized field within telecommunications that focuses on the analysis, modeling, and optimization of traffic in communication networks. It applies mathematical and statistical methods to understand patterns of user demand, such as call arrivals, data transfers, and service durations, to design efficient systems that minimize congestion, reduce delays, and ensure high-quality service.

Key concepts include queueing theory, which studies waiting lines in networks; Erlang formulas, used to calculate blocking probabilities and capacity needs; and traffic flow models that predict network behavior under varying loads. This discipline is essential for planning and managing modern infrastructures like mobile networks, internet services, and VoIP systems, helping to balance cost, performance, and reliability in an increasingly connected world.

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Part 2: 20 Teletraffic Engineering Quiz Questions & Answers

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1. Question: What is the definition of traffic intensity in teletraffic engineering?
Options:
A. The number of calls arriving per unit time.
B. The average number of calls in the system.
C. The ratio of offered traffic to the capacity of the system.
D. The total duration of calls in a day.
Answer: C
Explanation: Traffic intensity, often denoted as A or ρ, is defined as the ratio of the offered traffic (in erlangs) to the system’s capacity, representing how much traffic the system is handling relative to its limits.

2. Question: In the Erlang B formula, what does it calculate?
Options:
A. The probability of waiting for a line.
B. The blocking probability for lost calls cleared systems.
C. The average queue length.
D. The total traffic offered.
Answer: B
Explanation: The Erlang B formula calculates the probability that all servers are busy, which is the blocking probability in systems where lost calls are cleared, assuming no queueing.

3. Question: What assumption does the Poisson distribution make about call arrivals in teletraffic?
Options:
A. Calls arrive at a constant rate.
B. Calls arrive in batches.
C. Calls arrive randomly and independently at a constant average rate.
D. Calls arrive deterministically.
Answer: C
Explanation: The Poisson distribution assumes that call arrivals are random and independent events occurring at a constant average rate, which is a common model for teletraffic due to its simplicity and alignment with real-world patterns.

4. Question: What is the unit of measurement for traffic intensity in Erlangs?
Options:
A. Calls per hour.
B. Seconds of holding time per hour.
C. The product of call rate and average holding time.
D. Number of trunks required.
Answer: C
Explanation: One Erlang is defined as the traffic intensity where the product of the call arrival rate and the average call holding time equals one, representing continuous occupancy of one circuit.

5. Question: In a queuing system, what does the term “service time” refer to?
Options:
A. The time a call spends waiting in queue.
B. The time required to process or handle a call once it starts.
C. The total time from arrival to departure.
D. The inter-arrival time between calls.
Answer: B
Explanation: Service time is the duration taken to serve a call after it has been allocated resources, which is a key parameter in queuing models like M/M/1 for calculating system performance.

6. Question: What is Grade of Service (GoS) in teletraffic engineering?
Options:
A. The total number of calls handled.
B. A measure of the probability that a call is blocked or delayed.
C. The average call duration.
D. The cost of the network infrastructure.
Answer: B
Explanation: GoS is a quality metric that quantifies the likelihood of a call being blocked or experiencing excessive delay, helping engineers design networks to meet performance standards.

7. Question: For an M/M/1 queuing system, what does the notation represent?
Options:
A. Markovian arrivals, Markovian service, infinite servers.
B. Markovian arrivals, Markovian service, one server.
C. Multiple arrivals, multiple services, one queue.
D. Memoryless arrivals, memoryless service, infinite queue.
Answer: B
Explanation: M/M/1 denotes a queuing system with Poisson (Markovian) arrivals, exponential (Markovian) service times, and a single server, which is a fundamental model for analyzing teletraffic.

8. Question: How is blocking probability calculated in an Erlang C formula?
Options:
A. For systems with no queueing.
B. For systems where calls can wait in queue.
C. It is the same as Erlang B.
D. Only for deterministic traffic.
Answer: B
Explanation: Erlang C calculates the probability that a call is delayed (not blocked) in systems with queueing, assuming lost calls are delayed rather than cleared.

9. Question: What factor primarily affects the call congestion in a telephone exchange?
Options:
A. The number of subscribers.
B. The traffic intensity relative to the number of trunks.
C. The average call duration only.
D. The type of switching equipment.
Answer: B
Explanation: Call congestion, or blocking, occurs when traffic intensity exceeds the available trunks, making it a direct function of the ratio between offered traffic and system capacity.

10. Question: In teletraffic engineering, what is the difference between offered traffic and carried traffic?
Options:
A. Offered traffic is what is carried; carried traffic is what is offered.
B. Offered traffic is the total attempted traffic; carried traffic is the successfully handled traffic.
C. There is no difference.
D. Offered traffic excludes blocked calls.
Answer: B
Explanation: Offered traffic includes all attempted calls, while carried traffic only accounts for calls that are successfully connected, highlighting the impact of blocking on network efficiency.

11. Question: What does the Erlang loss system assume about lost calls?
Options:
A. They are queued for later service.
B. They are cleared and not retried.
C. They are immediately served by adding trunks.
D. They increase the arrival rate.
Answer: B
Explanation: In an Erlang loss system, lost calls are assumed to be cleared without retry, which simplifies the model for calculating blocking probabilities.

12. Question: How is the average queue length calculated in an M/M/1 queue?
Options:
A. Using the arrival rate only.
B. As ρ² / (1 – ρ), where ρ is traffic intensity.
C. As the number of servers.
D. It cannot be calculated.
Answer: B
Explanation: For an M/M/1 queue, the average queue length is given by ρ² / (1 – ρ), where ρ is the traffic intensity, providing insight into system congestion.

13. Question: What is the primary purpose of traffic measurement in teletraffic engineering?
Options:
A. To count the total number of calls.
B. To forecast and optimize network resources based on usage patterns.
C. To reduce call durations.
D. To increase subscriber fees.
Answer: B
Explanation: Traffic measurement helps in analyzing call patterns to predict future demands, allowing for efficient allocation of resources like trunks and switches.

14. Question: In a system with exponential service times, what distribution is typically used?
Options:
A. Normal distribution.
B. Uniform distribution.
C. Exponential distribution.
D. Poisson distribution.
Answer: C
Explanation: Exponential distribution is used for service times in many teletraffic models because it assumes memoryless behavior, simplifying calculations for steady-state analysis.

15. Question: What is the formula for traffic intensity (A) in Erlangs?
Options:
A. A = arrival rate × average holding time.
B. A = number of trunks.
C. A = blocking probability.
D. A = service rate.
Answer: A
Explanation: Traffic intensity A is calculated as the product of the call arrival rate (λ) and the average call holding time (h), giving the average occupancy in Erlangs.

16. Question: Why is the Poisson process important in modeling teletraffic?
Options:
A. It assumes fixed inter-arrival times.
B. It models random events well, matching real-world call patterns.
C. It only applies to large networks.
D. It eliminates the need for queues.
Answer: B
Explanation: The Poisson process is crucial because it accurately represents the random and independent nature of call arrivals in telecommunications, facilitating reliable predictions.

17. Question: In teletraffic engineering, what does “overflow traffic” mean?
Options:
A. Traffic that is successfully carried.
B. Traffic that exceeds the capacity and is lost or rerouted.
C. The minimum traffic level.
D. Traffic during peak hours only.
Answer: B
Explanation: Overflow traffic refers to calls that cannot be handled by the primary system due to capacity limits, often leading to blocking or redirection to alternative routes.

18. Question: How does increasing the number of trunks affect blocking probability?
Options:
A. It increases blocking probability.
B. It has no effect.
C. It decreases blocking probability.
D. It only affects queue length.
Answer: C
Explanation: Adding more trunks increases the system’s capacity, thereby reducing the likelihood of calls being blocked, as per models like Erlang B.

19. Question: What is the key difference between Erlang B and Erlang C formulas?
Options:
A. Erlang B includes queueing; Erlang C does not.
B. Erlang B is for no queueing; Erlang C is for systems with queueing.
C. They are identical.
D. Erlang C is for arrivals only.
Answer: B
Explanation: Erlang B applies to systems without queueing (lost calls cleared), while Erlang C is used for systems where calls can wait in a queue (lost calls delayed).

20. Question: In queuing theory, what is utilization factor (ρ)?
Options:
A. The total number of calls.
B. The ratio of arrival rate to service rate.
C. The average waiting time.
D. The number of servers.
Answer: B
Explanation: The utilization factor ρ is the ratio of the arrival rate to the service rate, indicating how busy the system is and whether it’s stable (ρ < 1).

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