Consider a network with a ring topology, link bandwidths of 100 Mbps, and propagation speed 2 × 108 m/s. What would the circumference of the loop be to exactly contain one 1500-byte packet, assuming nodes do not introduce delay? What would the circumference be if there was a node every 100 m, and each node introduced 10 bits of delay?
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- Consider a broadcast channel with N nodes and a transmission rate of R bps. Suppose the broadcast channel uses polling (with an additional polling node) for multiple access. Suppose the amount of time from when a node completes transmission until the subsequent node is permitted to transmit (that is, the polling delay) is ?poll. Suppose that within a polling round, a given node is allowed to transmit at most Q bits. What is the maximum throughput of the broadcast channel?Consider a broadcast channel with N nodes and a transmission rate of R bps. Suppose the broadcast channel uses polling (with an additional polling node) for multiple access. Suppose the amount of time from when a node completes transmission until the subsequent node is permitted to transmit (that is, the polling delay) is dpoll. Suppose that within a polling round, a given node is allowed to transmit at most Q bits. What is the maximum throughput of the broadcast channel?This elementary problem begins to explore propagation delay and transmission delay, two central concepts in data networking. Consider two hosts, A and B, connected by a single link of rate R bps. Suppose that the two hosts are separated by m meters, and suppose the propagation speed along the link is s meters/sec. Host A is to send a packet of size L bits to Host B. a. Express the propagation delay, dprop, in terms of m and s.b. Determine the transmission time of the packet, dtrans, in terms of L and R.c. Ignoring processing and queuing delays, obtain an expression for the end-to-end delay.d. Suppose Host A begins to transmit the packet at time t = 0. At time t = dtrans, where is the last bit of the packet?e. Suppose dprop is greater than dtrans. At time t = dtrans, where is the first bit of the packet?f. Suppose dprop is less than dtrans. At time t = dtrans, where is the first bit of the packet?g. Suppose s = 2.5 * 108 meters/sec, L = 120 bits, and R = 0.112 Mbps. Find the distance m…
- Computer Networks Consider a packet of length L that begins at end system A and travels over three links to a destination end system. These three links are connected by two packet switches. Let d, s, and R denotes the length, propagation speed, and the transmission rate of link i, for i=1,2,3 . The packet switch delays each packet by d . Assuming no queuing delays, in terms of d, s , R, (i=1,2,3), and L, what is the total end-to-end delay for the packet? Suppose now the packet is 1,500 bytes, and the propagation speed on all three links are 3125km/sec, 10000 km/sec, and 3333km/sec respectively. The transmission rates of all three links are 2 Mbps, the packet switch processing delay is 3 msec, the length of the first link is 5,000 km, the length of the second link is 4,000 km, and the length of the last link is 1,000 km. For these values, what is the end-to-end delay? In the above problem, suppose R1=R2=R3=R and dproc=0. Further, suppose the packet switch does not store-and-forward…Computer Networks Consider a packet of length L that begins at end system A and travels over three links to a destination end system. These three links are connected by two packet switches. Let d, s, and R denotes the length, propagation speed, and the transmission rate of link i, for i=1,2,3 . The packet switch delays each packet by d . Assuming no queuing delays, in terms of d, s , R, (i=1,2,3), and L, what is the total end-to-end delay for the packet? Suppose now the packet is 1,500 bytes, the propagation speed on all three links is the transmission rates of all three links are 2 Mbps, the packet switch processing delay is 3 msec, the length of the first link is 5,000 km, the length of the second link is 4,000 km, and the length of the last link is 1,000 km. For these values, what is the end-to-end delay? In the above problem, suppose R1=R2=R3=R and dproc=0. Further, suppose the packet switch does not store-and-forward packets but instead immediately transmits each bit it…Copy from chegg == Report! A communication line capable of transmitting at a rate of 50 Kbits/secwill be used to accommodate 10 sessions each generating Poisson traffic at a rate 150 packets/min.Packet length are exponentially distributed with mean 1000 bits. For each session, find the averagenumber of packets in queue, the average number in the system, and the average delay per packetwhen the line is allocated to the sessions by using: i) 10 equal-capacity time-division multiplexed channels;ii) statistical multiplexing
- Consider the Distance Vector Routing algorithm in a network of 1000 nodes. Each node has 19 lines to other nodes. If the delay values are between 0 and 249ms, and the delay vectors are exchanged 3 times per second. How much data rate per (full-duplex) line is taken by the routing algorithm?This elementary problem begins to explore propagation delay and transmission delay, twocentral concepts in data networking. Consider two hosts, A and B, connected by a single link ofrate R bps. Suppose that the two hosts are separated by m meters, and suppose the propagationspeed along the link is s meters/sec. Host A is to send a packet of size L bits to Host B.a. Express the propagation delay, dprop, in terms of m and s.b. Determine the transmission time of the packet, dtrans, in terms of Land R.c. Ignoring processing and queuing delays, obtain an expression for the endto-end delay.d. Suppose Host A begins to transmit the packet at time t = 0. At time t = dtrans,where is the last bit of the packet?e. Suppose dprop is greater than dtrans. At time t = dtrans, where is the first bit ofthe packet?f. Suppose dprop is less than dtrans. At time t = dtrans, where is the first bit ofthe packet?g. Suppose s = 2.5 · 108, L = 120 bits, and R = 56 kbps. Find the distance mso that dprop equals…Assume that an end-to-end communications system is made up of three networks with date rate in Mbps ρ1, ρ2, and ρ3, respectively. Ignoring the other delay components, what is the total end-to-end delay to transmit a packet size of λ?
- Suppose nodes A and B are on the same 10 Mbps broadcast channel, and the propagation delay between the two nodes is 245 bit-times. Suppose A and B send Ethernet frames at the same time. Suppose the transmission time of the entire frame is 295 bit-times. So, the frames collide, and then A and B choose different values of K in the CSMA/CD algorithm. A node chooses the value of K at random from {0,1,2,...2n−1} where n is the number of collisions experienced on the channel – note n is set to 1 in this case). For Ethernet, the actual amount of time a node waits is K*512 bit times (i.e., K times the amount of time needed to send 512 bits into the Ethernet). Suppose A chooses a K value of 0 and B chooses a K value of 1. Assuming no other nodes are active, can the retransmissions from A and B collide? Justify your answer by showing all the intermediate steps of your calculations.Consider two hosts, A and B, connected by a single link of rate R bps. Suppose that the two hosts are separated by m meters, and suppose the propagation speed along the link is s meters/sec.Host A is to send a packet of size L bits to host B.a. Express the propagation delay, dprop, in terms of m and s.b. Determine the transmission time of the packet, dtrans, in terms of L and R.c. Ignoring processing and queuing delays, obtain an expression for the end-to-end delay.d. Suppose host A begins to transmit the packet at time t= 0, at time t =dtrans, where is the last bit of the packet?e. Suppose dprop is greater than dtrans. At time t =dtrans, where is the first bit of the packet?f. Suppose dprop is less than dtrans. At time t =dtrans, where is the first bit of the packet?g. Suppose s = 2.5 x 10^8 , L=100 bits, and R=28 Kbps. Find the distance m so that dprop = dtrans.Consider two hosts, A and B, connected by a single link of rate R bps. Suppose that the two hosts are separated by m meters, and suppose the propagation speed along the link is s meters/sec. Host A is to send a packet of size L bits to host B.a. Express the propagation delay, dprop, in terms of m and s.b. Determine the transmission time of the packet, dtrans, in terms of L and R.c. Ignoring processing and queuing delays, obtain an expression for the end-to-end delay.d. Suppose host A begins to transmit the packet at time t= 0, at time t =dtrans, where is the last bit of the packet?e. Suppose dprop is greater than dtrans. At time t =dtrans, where is the first bit of the packet?f. Suppose dprop is less than dtrans. At time t =dtrans, where is the first bit of the packet?g. Suppose s = 2.5 x 108, L=100 bits, and R=28 Kbps. Find the distance m so that dprop = dtrans.