GATE CS 2014 Set 2 — Question 36
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Computer Networks → Network Fundamentals → Switching Techniques
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Question
Consider the store and forward packet switched network given below. Assume that the bandwidth of each link is bytes / sec. A user on host A sends a file of size bytes to host B through routers R1 and R2 in three different ways. In the first case a single packet containing the complete file is transmitted from A to B. In the second case, the file is split into 10 equal parts, and these packets are transmitted from A to B. In the third case, the file is split into 20 equal parts and these packets are sent from A to B. Each packet contains 100 bytes of header information along with the user data. Consider only transmission time and ignore processing, queuing and propagation delays. Also assume that there are no errors during transmission. Let T1, T2 and T3 be the times taken to transmit the file in the first, second and third case respectively. Which one of the following is CORRECT?
Correct answer
(D) T1 = T3, T3 T2
Solution
The network has host A, two routers (R1, R2), and host B. This constitutes a path with 3 links (A-R1, R1-R2, R2-B). So, the number of hops, , is 3.
Bandwidth, bytes/sec.
File size, bytes.
Header size, bytes.The total time to transmit packets of size over hops in a store-and-forward network with pipelining is given by:
Let's calculate the time for each case.Case 1 (T1):
This can be written as .
This matches option (D).
Bandwidth, bytes/sec.
File size, bytes.
Header size, bytes.The total time to transmit packets of size over hops in a store-and-forward network with pipelining is given by:
Let's calculate the time for each case.Case 1 (T1):
- The entire file is sent as a single packet.
- Number of packets, .
- Data in packet = 1000 bytes.
- Packet size, bytes.
- Total time, sec.
- The file is split into 10 equal parts.
- Number of packets, .
- Data per packet = bytes.
- Packet size, bytes.
- Total time, sec.
- The file is split into 20 equal parts.
- Number of packets, .
- Data per packet = bytes.
- Packet size, bytes.
- Total time, sec.
- sec
- sec
- sec
This can be written as .
This matches option (D).
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