GATE CS 2021 Set 2 — Question 64
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumALOHA (Pure, Slotted)Medium Access & LANsComputer Networks
Computer Networks → Medium Access & LANs → ALOHA (Pure, Slotted)
Last updated
Question
Consider a network using the pure ALOHA medium access control protocol, where each frame is of length bits. The channel transmission rate is Mbps ( bits per second). The aggregate number of transmissions across all the nodes (including new frame transmissions and retransmitted frames due to collisions) is modelled as a Poisson process with a rate of frames per second. Throughput is defined as the average number of frames successfully transmitted per second. The throughput of the network (rounded to the nearest integer) is ___________.
Correct answer
130 to 140
Solution
In Pure ALOHA, the throughput is given by the formula:where is the offered load (average number of frames per frame transmission time).Step 1: Calculate the frame transmission time ():Step 2: Calculate the offered load ():
The aggregate arrival rate is given as frames per second.Step 3: Calculate the throughput ():This represents the average number of successful transmissions per frame time .Step 4: Calculate the throughput in frames per second:Step 5: Round to the nearest integer:
The throughput is approximately frames per second. The official GATE answer key provides a range of to .
The aggregate arrival rate is given as frames per second.Step 3: Calculate the throughput ():This represents the average number of successful transmissions per frame time .Step 4: Calculate the throughput in frames per second:Step 5: Round to the nearest integer:
The throughput is approximately frames per second. The official GATE answer key provides a range of to .
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CS question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Medium Access & LANs
2026 Set 1 Q18With respect to a TCP connection between a client and a server, which one of the following…2026 Set 1 Q19Which of the following statements is/are true with respect to the interaction of a web browser with…2026 Set 2 Q21Consider a file of size 4 million bytes being transferred between two hosts connected via a path…2026 Set 2 Q22Which one of the following protocols may need to broadcast some of its messages?2026 Set 2 Q33If an IP network uses a subnet mask of 255.255.240.0, the maximum number of IP addresses that can…