Performance: Link utilization. Consider the network shown below. The links have transmission rates of R₁ = R₂ = 150 Mbps Assume that the link R₂ is fairly shared (as we've seen is done via TCP) between the two sessions. 25% What is the utilization of a link connecting the sender to the router, assuming both sessions are sending packets as fast as possible? 75 Mbps 50% 33.3% R₁ 75% R₁ 10% R₂
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- Router R1 is connected to another router R2 with link of L1 with a transmission rate of 67 packets/second. The link buffer at router R1 contains on an average 15 packets. There is one packet being currently transmitted. Average packet queuing delay is 15 milliseconds. Assuming no packet loss, what is the average packet arrival rate at R1?In the figure below a router is transferring packets, each of length L= 5 000 bits over a link with a transmission Rate R= 1 Mbps to another router at the other end of the link. The speed prorogation of the light signal on the link is 3x108 m/s. The length of the link is 1 Km. L: packet length (in bits) R: link transmission rates (Mbps) Queue of packets waiting for output link 1-Calculate the total transmission delay. 2- How many packets can be transmitted in one second.A packet switch receives a packet and determines the outbound link to which the packet should be forwarded. When the packet arrives, one other packet is halfway done being transmitted on this outbound link and four other packets are waiting to be transmitted. Packets are transmitted in order of arrival. Suppose all packets are 1,200 bytes and the link rate is 2 Mbps. What is the queuing delay for the packet? More generally, what is the queuing delay when all packets have length L, the transmission rate is R, x bits of the currently-being-transmitted packet have been transmitted, and n packets are already in the queue?
- Multi-hop network: Given two hosts A and B, and one router between them. Packet size is L bits and the link bandwidth is R bps for both links.Suppose A has two packet to send to B.How long does it take starting from A sending the first bit of first packettill B receives the last bit of the last packet?Maximum end-end throughput (e). Consider the scenario below where 4 TCP senders are connected to 4 receivers. Servers 1 - 3 transmit to the receiving hosts at the fastest rate possible (i.e., at the rate at which the bottleneck link between a server and its destination is operating at 100% utilization, and is fairly shared among the connections passing through that link). Server 4 has nothing to send, so its sending rate is zero. Suppose that R = 1 Gbps, Rc is 300 Mbps and Rs is 400 Mbps. What is the TCP throughput achieved on each of the 3 sctive-sending connections? A. 4R B. Rc C. R/4…Performance: Throughput. Consider now the (new!) network shown below, with a new sender (E) sending to D over a new additional TCP session. The links again have transmission rates of R₁ = 100 Mbps (i.e., 100 x 106 bits per second) and R₂ = 150 Mbps. What is the maximum end-to-end throughput achieved by the new E-to-D session, assuming all senders are sending to receivers at the maximum rate possible? A B R₁ 25 Mbps 100 Mbps 75 Mbps 50 Mbps 150 Mbps E R₁ R₁
- Consider four Internet hosts, each with a TCP session. These four TCP sessions share a common bottleneck link - all packet loss on the end-to-end paths for these four sessions occurs at just this one link. The bottleneck link has a transmission rate of R. The round trip times, RTT, for all fours hosts to their destinations are approximately the same. No other sessions are currently using this link. The four sessions have been running for a long time. i) What is the approximate throughput of each of these four TCP sessions? Explain your answer briefly. ii) What is the approximate size of the TCP window at each of these hosts? Explain briefly how you arrived at this answer.Consider a router buffer preceding an outbound link. In this problem, you will use Little’s formula, a famous formula from queuing theory. Let N denote the average number of packets in the buffer plus the packet being transmitted. Let a denote the rate of packets arriving at the link. Let d denote the average total delay (i.e., the queuing delay plus the transmission delay) experienced by a packet. Little’s formula is N=a⋅d . Suppose that on average, the buffer contains 10 packets, and the average packet queuing delay is 10 msec. The link’s transmission rate is 100 packets/sec. Using Little’s formula, what is the average packet arrival rate, assuming there is no packet loss?a. Suppose N packets arrive simultaneously to a link at which no packets are currently being transmitted or queued. Each packet is of length L and the link has transmission rate R. What is the average queuing delay for the N packets? b. Now suppose that N such packets arrive to the link every LN/R seconds. What is the average queuing delay of a packet?
- Consider the scenario below where 4 TCP senders are connected to 4 receivers. The servers transmit to the receiving hosts at the fastest rate possible (i.e., at the rate at which the bottleneck link between a server and its destination is operating at 100% utilization, and is fairly shared among the connections passing through that link). R =1 Gbps and Rc is 300 Mbps and Rs is 400 Mbps. And that all four senders have data to send, What is the minimum value of Re that will ensure that the connections to Host-1 and Host-2 are not bottlenecked at links with capacity Rc or Re?Performance: Maximum Throughput (2). Now consider the network shown below, with two senders on the left sending packets to a common receiver on the right. The links have transmission rates of R₁ =75 Mbps, R₂ = 100 Mbps, and R3 = 60 Mbps. R₁ R₁ 235 Mbps 30 Mbps What is the maximum end-to-end throughput achieved by each session, assuming both sessions are sending at the maximum rate possible? 310 Mbps 60 Mbps 100 Mbps R₂- 75 Mbps R3 wwwwTCP a. Consider two TCP connections, one between Hosts A (sender) and B (receiver), and another between Hosts C (sender) and D (receiver). The RTT between A and B is half that of the RTT between C and D. Suppose that the senders' (A's and C's) congestion window sizes are identical. Is their throughput (number of segments transmitted per second) the same? Explain. b. Now suppose that the average RTT between A and B, and C and D are identical. The RTT between A and B is constant (never varies), but the RTT between C and D varies considerably. Will the TCP timer values of the two connections differ, and if so, how are they different, and why are they different? Give one reason why TCP uses a three-way (SYN, SYNACK, ACK) handshake rather than a two-way handshake to initiate a connection. a.