Suppose there are 4 nodes sharing a broadcast channel using TDMA protocol. Suppose at time t=0: Node 1 has three frames to transmit, Node 2 has two frames to transmit, Node 3 has no frame, Node 4 has four frames to transmit. The length of time slot is 2 seconds whereas time needed to transmit one frame is 1 second. Explain how TDMA will work and how much time will be taken to transmit all of these frames?

Suppose there are 4 nodes sharing a broadcast channel using TDMA protocol. Suppose at time t=0: Node 1 has three frames to transmit, Node 2 has two frames to transmit, Node 3 has no frame, Node 4 has four frames to transmit. The length of time slot is 2 seconds whereas time needed to transmit one frame is 1 second. Explain how TDMA will work and how much time will be taken to transmit all of these frames?

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

Suppose there are 4 nodes sharing a broadcast channel using TDMA protocol. Suppose at time t=0: Node 1 has 6 frames to transmit, Node 2 has 4 frames to transmit, Node 3 has 8 frames to transmit, Node 4 has 3 frames to transmit. Maximum number of frames which can be transmitted by a node in a time slot = 3 The time required to transmit one frame = 1 Second Explain how TDMA protocol works to complete this task.
Suppose there are 4 nodes sharing a broadcast channel using TDMA protocol. Suppose at time t=0: Node 1 has 6 frames to transmit, Node 2 has 4 frames to transmit, Node 3 has 8 frames to transmit, Node 4 has 3 frames to transmit. Maximum number of frames which can be transmitted by a node in a time slot = 3 The time required to transmit one frame = 1 Second Explain how collision is handled in TDMA, CSMA/CD and Token passing protocols.
Consider two nodes, A and B are attached to opposite ends of an 1200 meter cable with signal propagation speed is 2 x 10^8 m/sec. Frame size used by both nodes is 1500 bits including header and preambles. Assume transmission rate is 100 Mbps and there are four switches between node A and B each insert 20 bit delay as a processing time in addition to store and forward delay. If only A has packet to send, then the time taken to reach A's packet at B is?
Suppose users share a 2 Mbps link. Also suppose each user transmits continuously at 1 Mbps when transmitting, but each user transmits only 20 percent of the time. a. When circuit switching is used, how many users can be supported? b. For the remainder of this problem, suppose packet switching is used. Why will there be essentially no queuing delay before the link if two or fewer users transmit at the same time? Why will there be a queuing delay if three users transmit at the same time? c. Find the probability that a given user is transmitting. d. Suppose now there are three users. Find the probability that at any given time, all three users are transmitting simultaneously. Find the fraction of time during which the queue grows.
Suppose A and B nodes are on the same 10 Mbps broadcast and the propagation delay is 325 bit times between the two nodes. Suppose for this channel CSMA/CD and Ethernet packets are used. Suppose node A begins sends a frame and node B starts sending a frame until it is over. Can A finish transmitting B until it is detected? Why not? Why or why not? If so, then A incorrectly insists that his frame was transmitted safely without a crash. Hint: Suppose t = 0 bits at the moment, A begins sends the frame. In the worst case, a minimum frame of 512 + 64 bit times is transmitted. So A would end the frame at t = 512 + 64 bit times. The . response is no, if the signal B crosses t = 512 + 64 bits before bit time. In the worst scenario, when does B hit A?
Consider two hosts, A and B, connected by a single link of rate R bps. Suppose that the two hosts are separated by m meters, and suppose the propagation speed along the link is s meters/sec.Host A is to send a packet of size L bits to host B.a. Express the propagation delay, dprop, in terms of m and s.b. Determine the transmission time of the packet, dtrans, in terms of L and R.c. Ignoring processing and queuing delays, obtain an expression for the end-to-end delay.d. Suppose host A begins to transmit the packet at time t= 0, at time t =dtrans, where is the last bit of the packet?e. Suppose dprop is greater than dtrans. At time t =dtrans, where is the first bit of the packet?f. Suppose dprop is less than dtrans. At time t =dtrans, where is the first bit of the packet?g. Suppose s = 2.5 x 10^8 , L=100 bits, and R=28 Kbps. Find the distance m so that dprop = dtrans.
Consider two hosts, A and B, connected by a single link of rate R bps. Suppose that the two hosts are separated by m meters, and suppose the propagation speed along the link is s meters/sec. Host A is to send a packet of size L bits to host B.a. Express the propagation delay, dprop, in terms of m and s.b. Determine the transmission time of the packet, dtrans, in terms of L and R.c. Ignoring processing and queuing delays, obtain an expression for the end-to-end delay.d. Suppose host A begins to transmit the packet at time t= 0, at time t =dtrans, where is the last bit of the packet?e. Suppose dprop is greater than dtrans. At time t =dtrans, where is the first bit of the packet?f. Suppose dprop is less than dtrans. At time t =dtrans, where is the first bit of the packet?g. Suppose s = 2.5 x 108, L=100 bits, and R=28 Kbps. Find the distance m so that dprop = dtrans.
How long does it take a packet of length 1,000 bytes to propagate over a link of distance 2,500 km, propagation speed 25.125 m/s, and transmission rate 2 Mbps? More generally, how long does it take a packet of length L to propagate over a link of distance d, propagation speed s, and transmission rate R bps? Does this delay depend on packet length? Does this delay depend on transmission rate?
Consider two hosts, A and B, connected by a single link of rate R bps. Suppose that the two hostsare separated by m meters, and suppose the propagation speed along the link is s meters/sec.Host A is to send a packet of size L bits to host B.a. Express the propagation delay, dprop, in terms of m and s.b. Determine the transmission time of the packet, dtrans, in terms of L and R.c. Ignoring processing and queuing delays, obtain an expression for the end-to-end delay.d. Suppose host A begins to transmit the packet at time t= 0, at time t =dtrans, where is the lastbit of the packet?e. Suppose dprop is greater than dtrans. At time t =dtrans, where is the first bit of the packet?
Suppose, there are N = 4 nodes using the slotted ALOHA protocol. The nodes are contending for a 6 Mbps channel. Each node transmits only 50% of the time. What is the probability that at least one node succeeds in time slot 10
Consider the following Aloha systems.(a) A group of N users share a 56 kbps pure Aloha channel. Each user generates at a Poisson rateof one 1000-bit packet every 100 sec, even if the previous one has not yet been sent. What is themaximum value of N (Hint: The pure Aloha maximum channel utilization is 18.4%)? (b) Ten thousand airline reservation stations are competing for the use of a single slotted Alohachannel. The average station makes 18 requests/hour. A slot is 125 μsec. What is the approximatetotal channel load (requests per slot)?
Consider sending real-time data from Host A to Host B over a packet-switched network. Host A takes an 8-bit measurement every millisecond, and Host A collects these into 64-byte packets. There is one link between Hosts A and B; its transmission rate is 5 Mbps, its propagation delay is 2 × 108 meters/sec, and its length is 3 km. As soon as Host A gathers a packet, it sends the packet to Host B. How much time elapses from the time that Host A begins to take the first measurement in a packet until the entire packet reaches Host B?