Suppose the distance between two ends of an Ethernet LAN with a transmission rate of R bps is d meters. Can you derive a formula to find the minimum frame size, L, needed for an Ethernet packet? Using this formula, what is the minimum required packet size for an Ethernet that spans 3 kilometers? Assume the speed of propagation is 1.8 × 108 m/s and R=10 Mbps.

Suppose the distance between two ends of an Ethernet LAN with a transmission rate of R bps is d meters. Can you derive a formula to find the minimum frame size, L, needed for an Ethernet packet? Using this formula, what is the minimum required packet size for an Ethernet that spans 3 kilometers? Assume the speed of propagation is 1.8 × 108 m/s and R=10 Mbps.

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

See similar textbooks

Similar questions

If a two port bridge was used in a heavy load standard Ethernet network such that the traffic is going through it. If each station is theoretically given a capacity of5Mbpsand the number of stations in each LAN segment is equal, then the number of stations in each LAN is:
Consider two hosts S and R connected directly by a link. A link has a transmission speed of 107 bits/sec. It uses data packets of size 400 bytes. Data needed to transmitted is 400 bytes. Length of the link is 600 km and the propagation speed are 3 × 108 meter per second. T is the transmission delay and P is the propagation delay. The propagation delay in millisecond and transmission delay in microsecond respectively are
Consider a client and a server connected through one router. Assume the router can start transmitting an incoming packet after receiving its first 0.6 Mbits instead of the whole packet. Suppose that the transmission rate of each link is 6 Mb/s and that the client transmits one packet with a size of 2 Mbits to the server. Assume the propagation, processing, and queuing delays are negligible. Answer the following questions (use up to 4 significant digits if needed; e.g., yy.xxxx): What is the end-to-end delay?3D seconds What is the end-to-end delay if there are 2 routers between the client and the server?= seconds
A communication satellite orbits the earth at distance of 30000 miles with each mile having a propagation speed of 5 x 10^(-6) seconds. The data rate of the satellite link is 1 Mb/s. Suppose a data frame is 1250 bytes and that ACKs have negligible processing and transmission times. With the Stop-and-Wait protocol, what is the maximum utilization possible.Discuss ways in which the utilization can be improved. Remember that the satellite is far away and therefore outline the disadvantages to any scheme you propose that may improve the utilization.
Assume that there is a shared connection (for example, an Ethernet bus) with a speed of 1 Mbps. How much time (in microseconds) is required to send a frame with a length of 1000 bits over this link?
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?
Let the two host X and Y connected via a packet switch with 107 bits per second links. Switch is placed at 50 km from X. X and Y are located at 100 Kilometer apart also the propagation speed along the link is 2 × 108 m/s. The switch begins forwarding a packet after 0.1 milliseconds it receives the packet. If 1000 bytes of File are needed to be transmitted and each packet size is 500 bytes, the time elapsed between the transmission of the first bit of data and the reception of the last bit of the data in millisecond is
Consider a router that transmits bits onto a transmission medium at the rate of 2 Mbps. Let the link be 3 km in length, and bits propagate through the transmission medium at the speed of (approximately) 3x10^8 meters/sec. What is the transmission delay in seconds to transmit a packet of size 2,000 bits onto the link? а. .4 seconds O b. 1 second c. 1 x 10^-5 seconds O d. .001 seconds
A TCP connection is established through 10 wireless hops in an acoustic underwater ad hoc network. Assume that each hop is 100 meter in the average, acoustic signals travel 1500 meter per second, 10 kilobit data can be sent per second over a link, the source node has one megabyte of data to send, the receiver window size is 64 kilobytes, the maximum segment size is 1 kilobyte and the average processing delay for routing at each node is one millisecond. Assume also that the following segments do not reach the destination: 67, 112, 137. What would be the average utilization of the links for this connection if there is not another communications through them? Explain an alternative approach to increase the bandwidth utilization?
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?
Consider a router that transmits bits onto a transmission medium at the rate of 2 Mbps. Let the link be 3 km in length, and bits propagate through the transmission medium at the speed of (approximately) 3x10^8 meters/sec. What is the transmission delay in seconds to transmit a packet of size 2,0o0 bits onto the link? a. 1x10^-5 seconds O b. .001 seconds с. 1 second d. -4 seconds
3.4-8 Channel utilization with pipelining. Suppose a packet is 10K bits long, the channel transmission rate connecting a sender and receiver is 10 Mbps, and the round-trip propagation delay is 10 ms. What is the channel utilization of a pipelined protocol with an arbitrarily high level of pipelining for this channel?