1.4-1 End-to-end Delay. Consider the network shown in the figure below, with three links, each with a transmission rate of 1 Mbps, and a propagation delay of 1 msecper link. Assume the length of a packet is 1000 bits.1911Answers:What is the end-end delay of a packet from when it first begins transmission on link 1, until is it received in full by the server at the end of link 3. Assume store andforward packet transmission1 msec2 msec3imeGm2me11k3

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1.4-1 End-to-end Delay. Consider the network shown in the figure below, with three links, each with a transmission rate of 1 Mbps, and a propagation delay of 1 msec per ink. Assume the length of a packet is 1000 bits. 4-Link 3 Answers What is the end-end delay of a packet from when it first begins transmission on link 1, until is it received in full by the server at the end of link 3. Assume store and forward packet transmission 1 msec 2 msec 3invec 6 me 2 12 me +-Link 3

1.4-1 End-to-end Delay. Consider the network shown in the figure below, with three links, each with a transmission rate of 1 Mbps, and a propagation delay of 1 msec per ink. Assume the length of a packet is 1000 bits. 4-Link 3 Answers What is the end-end delay of a packet from when it first begins transmission on link 1, until is it received in full by the server at the end of link 3. Assume store and forward packet transmission 1 msec 2 msec 3invec 6 me 2 12 me +-Link 3

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter20: Queuing Theory

Section20.10: Exponential Queues In Series And Open Queuing Networks

Problem 8P

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Consider two hosts, A and B that are connected by a transmissions link of2.1 Mbps. Assume that packets are of length 2.0 Kb (Kilobits) and the length of the link is 100Km. a. What is the propagation delay from A to B, that is the amount of time from when the first bit of the packet is transmitted at A, until it is received at B? b. What is the transmission time of the packet at A (the time from when the first bit of the packet is sent into the wire and the time at which the last bit is sent into the wire). c. Suppose now that that length of the link is doubled. What is the propagation delay from A to B now and what is the transmission time? d. Now suppose that node C is connected to node B also by a 2 Mbps, 100 Km link. How long does it take from when the first bit is transmitted by A to when the last bit is received at C, assuming B operates in a store-and -forward manner?
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?
1.4-1 End-to-end Delay. Consider the network shown in the figure below, with three links, each with a transmission rate of 1 Mbps, and a propagation delay of 1 msec per link. Assume the length of a packet is 1000 bits. 1811 Answers: what is the end-end delay of a packet from when it first begins transmission on link 1. until is it received in full by the server at the end of link 3. Assume store and forward packet transmission 1 msec 2 me 3 6 me 2 A2 --Link 3.
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…
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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?
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 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…
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