(a) Suppose N packets arrive simultaneously to a link at which no packets are currently being transmitted or queued. Each packet is of length L and the link has a transmission rate of R. What is the average queueing delay for the N packets? (b) Now suppose that N such packets arrive to the link every LN/R seconds. What is the average queueing delay of a packet?
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- a. Suppose N packets arrive simultaneously to a link at which no packets are currently being transmitted or queued. Each packet is of length L and the link has transmission rate R. What is the average queuing delay for the N packets? b. Now suppose that N such packets arrive to the link every LN/R seconds. What is the average queuing delay of a packet?Given a M/M/1 queue, which has packets arriving at a rate 2 packets/sec, an output link rate R bps, and an average packet size of 1500 bytes, write down: the expression for T, the average delay for a packet (i.e., from arrival till completing transmission at the output). b. the expression for the output utilization c. the expression for average number of packets in the queue d. the expression for average number of packets in the output NICConsider 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?
- A packet switch receives a packet and determines the outbound link to which the packet should be forwarded. When the packet arrives, one other packet is halfway done being transmitted on this outbound link and four other packets are waiting to be transmitted. Packets are transmitted in order of arrival. Suppose all packets are 1,200 bytes and the link rate is 2 Mbps. What is the queuing delay for the packet? More generally, what is the queuing delay when all packets have length L, the transmission rate is R, x bits of the currently-being-transmitted packet have been transmitted, and n packets are already in the queue?In a data communication system, several messages that arrive at a node are bundled into a packet before they are transmitted over the network. Assume that the messages arrive at the node according to a Poisson process with rate 30 messages per minute (0.5 per second). Five messages are used to form a packet.What is the mean time until a packet is formed, that is, until five messages arrive at the node?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.
- Data Communication Suppose that Router A and Router B are connected via a 0.05 Mbps link (note, 1 Mbps = 106 bps) and that the link connecting the two routers has a length of 80 meters. Suppose that Router A is in the process oftransmitting a packet, and that there are 15 additional packets in the queue of the router, when a new packet arrives at Router A. Assume the followinga. Every packet consists of 15,000 bits.b. 5000 bits of the currently-being-transmitted packet has been transmitted by Router A when the new packet arrives at Router A. c. Propagation speed of a bit over the link connecting the two routersis 2 ? 103 meters/sec.d. Processing delay of a packet at a router takes 1 millisecond (i.e., 0.001 seconds).What is the total delay of the new packet in arriving at Router B, i.e., how long does it take the new packet to arrive at Router B from the time it arrived at Router A? In your solution, clearly identify all four delay components the new packet experiences.hdet b) Consider sending a packet contains 1100 bits from Host A to Host B in a store and forward nerwork. There are 10 links (and 9 routers) between A and B, and the links are congested (there Is a queuing delays). Assume propagation delay over the links are negligible. As a packet travels along the route, it encounters an average of 5 packets already waiting in the queue to be transmitted when it arrives at each router, How long does it take for the packet to get to the receiver if the nodes transmit on a "first come first served" basis (in ms)?Question 1 Suppose P packets arrive simultaneously to a link at which three packets are currently queued and one just started transmission. All packets are of length L and the link has transmission rate R. What is the average queuing delay for the P packets? Full explain this question and text typing work only thanks
- Equation 1.1 gives a formula for the end-to-end delay of sending one packet of length L over N links of transmission rate R. Generalize this formula for sending P such packets back-to-back over the N links. ExplainA sender with window size (W=3) is connected to a go back N receiver by a link with bandwidth =106 bytes/second and propagation delay of 0.25 msec. The receiver sends Positive ACK for correctly received in order packets. For each packet sent, the sender sets a timer with time out value of 5 msec. On receiving an ack for that packet, the timer is cancelled. If the timer expires, that packet is retransmitted immediately. Assume that the sender sends packets 1, 2, and 3 (at t=0, packet size =1000 Bytes) and packet 2 is lost. NO other packet is lost. Under this scheme , at what time (in msec) would all the packets been received at the receiver.Suppose one packet is transmitted from a source to a destination via a path of N links each with a rate of R. Then, the end to end transmission delay is NL/R. What is the transmission delay time for P packets if the source and destination are connected via M routers?