Consider the network shown below, and Dijkstra's link-state algorithm. Suppose that Dijkstra's algorithm has been run to compute the least cost paths from node E to all other nodes. Now suppose that source node E has a packet to send to destination node A. What is the first router to which E will forward this packet on its path to A? OD OF OB OC D 10 4 E 4 2
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- Consider the network shown below, and Dijkstra’s link-state algorithm. Suppose that Dijkstra's algorithm has been run to compute the least cost paths from node E to all other nodes. Now suppose that source node E has a packet to send to destination node A. What is the first router to which E will forward this packet on its path to A?We have 5 routers labled A-E. Suppose we have the forwarding tables shown below after the routingalgorithm is stable. Let all links have cost 1. a. If a message is originated from A and a destination is E. Which path does it take?b. If a message is originated from C and a destination is D. Which path does it take?c. Give a diagram of a possible network consistent with these tables.Consider a network with 4 links between two hosts where the maximum allowable packet size is 1000 bits; each link has a transmission rate of 2000 bits per second, except the second link has a transmission rate of 1000 bits per second. How long does it take to send 6000 bits from one host to the other? You may ignore propogation delay, assume there is no other traffic on the network, and assume that no routers drop packets due to queue length. Round your answer to two decimal places.
- Below is a nested MPLS network by MTN. With the assumption that Customer 6 (C6) is connected to Router 6 (R6), execute a Dijkstra Algorithm on a Link State routing to determine the shortest path for Customer 6 to transmit packets to every other Customer/Destination connected to the rest of the Routers on the network. Tabulate the executed iteration for the Dijkstra Algorithm using the table below. Iteration Nodes R1 R2 R3 R4 R5 R7 R8 R9 R10 0 [6] 1 [6,3] 2 [6,3,2] 3 [6,3,2,1] 4 [6,3,2,1,4] 5 [6,3,2,1,4,5] 6 [6,3,2,1,4,5,7]…Below is a nested MPLS network by MTN. With the assumption that Customer 6 (C6) is connected to Router 6 (R6), execute a Dijkstra Algorithm on a Link State routing to determine the shortest path for Customer 6 to transmit packets to every other Customer/Destination connected to the rest of the Routers on the network. Tabulate the executed iteration for the Dijkstra Algorithm using the table below. Iteration Nodes R1 R2 R3 R4 R5 R7 R8 R9 R10 0 [6] 1 [6,3] 2 [6,3,2] 3 [6,3,2,1] 4 [6,3,2,1,4] 5 [6,3,2,1,4,5] 6 [6,3,2,1,4,5,7]…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 di, si, and Ri denote the length, propagation speed, and the transmission rate of link i, for i=1,2,3. The packet switch delays each packet by dproc. Assuming no queuing delays, in terms of di, si, Ri, (i=1,2,3), and L, what is the total end-to-end delay for the packet? Suppose now the packet is 1,200 bytes, the propagation speed on all three links is 2.5x10^8 m/s, 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 4,000 km, the length of the second link is 3,000 km, and the length of the last link is 1,500 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 receives…
- 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?Consider a packet of length L which 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 di, si, and Ri denote the length, propagation speed, and the transmission rate of link i, for i = 1, 2, 3. The packet switch delays each packet by dproc. Assuming no queuing delays, in terms of di, si, Ri, (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 2.5*108 m/s, 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 3,000 km. For these values, what is the end-to-end delay?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?
- 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 receives before waiting…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 packets but…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 denote 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, , 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 2.5⋅108m/s 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?
