We have a 4 km down CSMA / CD channel with a capacity of 10 Mbps. Assume the average negotiable interval is 2 ∗ ∆ size, and that the propagation rate is 2 ∗ 10^8 m/s, the length of frames is 50B. By how much is it necessary to increase the minimum size of frames if we want to achieve at least 90% efficiency? Write down all the necessary assumptions.

We have a 4 km down CSMA / CD channel with a capacity of 10 Mbps. Assume the average negotiable interval is 2 ∗ ∆ size, and that the propagation rate is 2 ∗ 10^8 m/s, the length of frames is 50B. By how much is it necessary to increase the minimum size of frames if we want to achieve at least 90% efficiency? Write down all the necessary assumptions.

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

H2. Consider designing a 2 km-long, 1 Gbps LAN which uses CSMA/CD and has a propagation speed of 200 m/µsec. What is the minimum frame size and the optimal channel efficiency that can be achieved using this frame size?
Computer Science Two flows are transmitting at a constant rate of 4Mbps and 8Mbps and compete for service at a 10Mbps link. If the link adopts an RED policy, what is the expected drop probability for each flow?
Assume a 10Mbps Ethernet has two nodes, A and B, connected by a 360m cable with threerepeaters in between, and they each have one frame of 1,024 bits to send to each other. Further assumethat the signal propagation speed across the cable is 2*10^8 m/sec, CSMA/CD uses back-off intervals ofmultiples of 512 bits, and each repeater will insert a store-and-forward delay equivalent to 20-bittransmission time. At time t=0, both A and B attempt to transmit. After the first collision, A draws K = 0and B draws K = 1 in the exponential back-off protocol after sending the 48bits jam signal. a. What is the one-way propagation delay (including all repeater delays) between A and B inseconds? At what time is A's packet completely delivered at B? b. Now suppose that only A has a packet to send and that the repeaters are replaced with switches.Suppose that each switch has an 8-bit processing delay in addition to a store-and-forward delay.At what time, in seconds, is A's packet delivered at B?
Suppose we have a reservation system with 50 users, frame transmission time of 0.6 sec, v = 0.3. (a) What is the effective frame transmission time? (b) What is the efficiency/throughput if all stations are transmitting? (c) What is the efficiency/throughput if a minislot can reserve up to 7 frames?
Que.a) Consider a CSMA/CD network that transmits data at a rate of 400 x 106 bits per second. The maximum signal propagation time from one node to another node is 20 microseconds. The minimum size of a frame in the network is(. bytes).
In the communication in the figureFor Link 1; Bandwidth 150 Mbps Line Length 5 km For Link 2; Bandwidth 50 Mbps Line Length 2000 km For Link 3; Bandwidth 1000 Mbps Line Length 1 km For 4000 bit packet length and the case where fiber optic and light speed of all connections are 3x10^8 m / sec; Question 1. What is the transmission and propagation delays for each line?Question 2. Assuming there are no queue and processing delays, calculate the end-to-end delay in milliseconds.
What is the OSPF cost for T-1 link (bandwidth 1.544 Mbps) given the reference bandwidth of 100 Mbps? Note 1.544 Mbps = 1.544*1000000=1,544,000 bps and 100 Mbps = 100,000,000 bps).
For example, let's say each user needs 500 kbps and is only active 25% of the time. In order to satisfy user needs with a chance of at least 0.9%, how many users can we multiplex on an 8 Mbps link? In this instance, what is the statistical multiplexing advantage that may be achieved via multiplexing?
The Syldavia TGV is equipped with a computer network with CSMA/ CD-type access protocols. The signal travels at 200,000 kilometers per second. Each transmitted frame is 300 bytes. Speed is 1 Gbit/s. Knowing that the size of each truck that makes up this TGV is 24 m, A:how many trucks can we have at most so that the CSMA/CD protocol can work properly (detailed calculations)? B:If a TGV consists of eight cars travelling at 250 km/h, how far does it travel (collision-free) before the rear of the train receives the frame sent by the head of the train?
Why CDMA can make users communicate at the same time using the same frequency band without interference? Explain the advantages and disadvantages of CDMA. Why ADSL can achieve the transmission rate of several Mbps using the bandwidth less than 1MHz? Each question is a judgment question. Write down your answer with T for True, F for False, and give the explanation if the answer is False. Consider a system of bandwidth 10Mbps, with multiple users, each is active (i.e., have data to transmit at rate 1Mbps) with a low probability, e.g. 0.1. From the capacity perspective, packet switching is better than circuit switching because the former can support more users. Denial of Service (DoS) attack can be generated by a large number of (legitimate) TCP connection requests to the same targeted server at the same time. These TCP requests can be originated from different hosts in a botnet, which is controlled by the attacker. In VSAT systems the micro-stations do not have sufficient…
Unless specified otherwise, use the free space propagation speed of light 3x108 m/s to calculate the propagation delay. For numerical calculations, the results must show the appropriate unit. Show a complete solution for each problem2. Suppose network users share a 4 Mbps link. Also, suppose each user requires 200 kbps when transmitting, but each user transmits only 15% of time.a. When circuit switching is used, how many users can be supported?b. Suppose packet switching is now used and that there are 20 users. Find the probability that any given time, at most 4 users are transmitting simultaneously.
Unless specified otherwise, use the free space propagation speed of light 3x108 m/s to calculate the propagation delay. For numerical calculations, the results must show the appropriate unit. Show a complete solution for each problem1. Consider a client-server system with the following parameters and requirements. The client transmits 10x10^6 bits of data every minute to the data server connected directly to it. The transmission link speed is 20x10^6 bps. Each packet is 2,000 bytes long which includes a 20-byte packet header.a. Calculate the number of packets generated per second for data transmission at the client node.b. The system requires every packet must be delivered within 4 ms of generating a data packet. Calculate the maximum link distance between the client and the server that still can meet this requirement. Ignore processing and queuing delays.c. Calculate the number of overhead bits transmitted per second from the client to the server.