Q1: Consider a computer network want to send data packets from router to destination router z. The time to go from router a to b is 3 ms, from a to c is 4ms, from router b to e is 5ms, from b to d is 6 ms, d to z is 7 ms, d to e is 2 ms, c to e is 6 ms, e to z is 12 ms. Find the shortest path from city a to z through which minimum time of travel is obtained using Dijkstra algorithm. Draw the routing table and all the graphs during the procedure.
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A: Introduction
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- Problem 2. Consider a packet of L bits that is sent over a path of Q links (i.e., a source and destination connected by a sequence of (Q-1) routers or switches). Each link transmits at R bps. This packet is the only traffic transmitted by the network (so there are no queuing delays) and the propagation delay and processing delay at routers are negligible. How long does it take to send this packet from source to destination if the network is: a) a packet-switched datagram network b) a circuit-switched network. Assume that bandwidth of R bps on each link is sliced into five individual circuits, so that cach circuit receives (R/5) bandwidth. Also assume that the circuit setup time is t,.. Give an expression for the number of links Q such that the packet delivery from the sender to the receiver will be faster over the packet-switched network, and the expression for the number of links Q such that the circuit-switched network will be faster.Consider two systems P and Q connected via a router R with the bandwidth of 2 Gbps. The length of the packet is 1000 bytes. The propagation delay between P and Q is 200 microseconds. The distance between the P and R is 10 km while the distance between R and Q is 5 km. The propagation speed in meter per second if each link is having the same 10³ km/s? propagation speed isConsider the subnet of Fig. 5-13(a). Distance vector routing is used, and the following vectors have just come in to router C: from B: (5, 0, 8, 12, 6, 2); from D: (16, 12, 6, 0, 9, 10); and from E: (7, 6, 3, 9, 0, 4). The measured delays to B, D, and E, are 6, 3, and 5, respectively. What is C's new routing table? Give both the outgoing line to use and the expected delay. В 2 4 3 A D 1 5 6. E 8 (a) Fig. 5-13(a) 3.
- Consider the subnet in Fig. 3.11.5. Distance vector routing is used and the following vectors have just come in to router C: from B (5, 0, 8, 12, 6, 2); from D(16, 12, 06, 0, 9, 10) and from E(7, 6, 3, 9, 0, 4). The measured delays to B, D and E are 6, 3 and 5 respectively. What is C's new routing table? Give both the outgoing line to used and the expected delay ? A B E Fig. 3.11.5 F DConsider 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?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…
- 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…2. Packet transmission. a. Consider a packet of length L that begins at end system A and travels over 2 links to a destination end system B. These two links are connected by one packet switch. Let d₁, S₁, and R₁ denote the length, propagation speed and transmission rate of link I, for i in {1, 2}. The packet switch delays each packet by dproc b. There is a queuing delay of 100 msec at the switch (but no queuing delay at A). The packet is 1500 bits in length, the propagation speed on all links is 2.5 x 108 m/sec, the transmission rate on both links is 1 Mbps, and the packet switch processing delay is 3 msec. The length of the first link is 4000 km and the second link is 1000 km. What is the end-to-end delay from A to B? c. The switch fails and is replaced. This changes the following information for the switch only. The packet switch processing delay is reduced from 3 msec to 2 msec, the queuing delay is reduced from 100 msec to 40 msec but the second transmission link increases to 8,500…Consider a network connecting two systems located 4000 kilometers apart. The bandwidth of the network is 500 x Mbps. The propagation speed of the media is 4 × 106 meters per second. It is needed to design a Go-Back-N sliding window protocol for this network. The average packet size is 107 bits. The network is to be used to its full capacity. Assume that processing delays at nodes are negligible. What is the minimum size in bits of the sequence number field?
- 5.03-5. Dijkstra's Algorithm (3, part 5). 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? OF (A) 3 2 4 B 8 D 10 4 E 4 2 FConsider 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…