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time to transmit a single bit) is very short; for a 10 Mbps Ethernet, a bit time is 1 microseconds Now let's look at an example Suppose that an adapter attempts for the first time to transmit a frame, and while transmitting it detects a collision The adapter then chooses K=0 with probability 5 and chooses K=1 with probability 5 If the adapter chooses K=0, then it immediately jumps to Step 2 after transmitting the jam signal If the adapter chooses K=1, it waits 512 microseconds before returning to Step 2 After a second collision, K is chosen with equal probability from {0,1,2,3} After three collisions, K is chosen with equal probability from {0,1,2,3,4,5,6,7} After ten or more collisions, K is chosen with equal probability from {0,1,2,,1023} Thus the size of the sets from which K is chosen grows exponentially with the number of collisions (until n=10); it is for this reason that Ethernet's backoff algorithm is referred to as "exponential backoff" The Ethernet standard imposes limits on the distance between any two nodes These limits ensure that if adapter A chooses a lower value of K than all the other adapters involved in a collision, then adapter A will be able to transmit its frame without experiencing a new collision We will explore this property in more detail in the homework problems Why use exponential backoff Why not, for example, select K from {0,1,2,3,4,5,6,7} after every collision The reason is that when an adapter experiences its first collision, it has no idea how many adapters are involved in the collision If there are only a small number of colliding adapters, it makes sense to choose K from a small set of small values On the other hand, if many adapters are involved in the collision, it makes sense to choose K from a larger, more dispersed set of values (why ) By increasing the size of the set after each collision, the adapter appropriately adapts to these different scenarios We also note here that each time an adapter prepares a new frame for transmission, it runs the CSMA/ CD algorithm presented above In particular, the adapter does not take into account any collisions that may have occurred in the recent past So it is possible that an adapter with a new frame will be able to immediately sneak in a successful transmission while several other adapters are in the exponential backoff state.



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When only one node has a frame to send (which is typically the case), the node can transmit at the full rate of the Ethernet technology (either 10 Mbps, 100 Mbps, or 1 Gbps) However, if many nodes have frames to transmit, the effective transmission rate of the channel can be much less We define the efficiency of Ethernet to be the long-run fraction of time during which frames are being transmitted on the channel without collisions when there is a large number of active nodes, with each node having a large number of frames to send In order to present a closed-form approximation of the efficiency of Ethernet, let tprop denote the maximum time it takes signal energy to propagate between any two adapters Let ttrans be the time to transmit a maximum size Ethernet frame (approximately 12 msecs for a 10 Mbps Ethernet) A derivation of the efficiency of Ethernet is beyond the scope of this book (see [Lam 1980] and [Bertsekas 1992]) Here we simply state the following approximation:

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Figure 8.6 Construction of continuous rewire system (Courtesy of Kidde-Graviner) Both discrete and continuous systems work as detectors of overheating or re, but both are susceptible to damage by the very condition they are monitoring. The re or jet of hot gas the leads to the temperature rise can easily burn through the wiring or the sensor. The system must be designed so that if this does occur, then the warning is not extinguished. Equally the system must be designed so that no warnings are given when there is no re. Both these conditions are dangerous. The rst because the crew may think that a re has been extinguished, the second because a system which continually gives spurious warnings may be disregarded when a real re occurs. Once a re warning is observed a formal drill is initiated by the crew to extinguish it (the re). This will include shutting down the engine and isolating the fuel system at the engine re wall by closing a cock in the fuel system, and then discharging extinguisher uid into the bay. This is done by pressing a switch in the cockpit (often a switch built into the re warning lamp) which res a cartridge built into a bottle containing a uid such as BromoChloro-diFluoro-methane (BCF). This causes a spray of uid to be directed into the engine bay. Usually the bottles are single shot. If,

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file:///D|/Downloads/Livros/computa o/Computer%20Net%20Approach%20Featuring%20the%20Internet/ethernethtm (7 of 12)20/11/2004 15:52:37

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efficiency = 1/(1+ 5 tprop/ttrans) We see from this formula that as tprop approaches 0, the efficiency approaches 1 This is intuitive because if the propagation delay is zero, colliding nodes will abort immediately without wasting the channel Also, as ttrans becomes very large, efficiency approaches 1 This is also intuitive because when a frame grabs the channel, it will hold on to the channel for a very long time; thus the channel will be doing productive work most of the time

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IP, HTTP (for the Web) and SMTP (for open-standards e-mail) There are more than 2000 different RFC's The public Internet (ie, the global network of networks discussed above) is the network that one typically refers to as the Internet There are also many private networks, such as certain corporate and government networks, whose hosts are not accessible from (i e, they can not exchange messages with) hosts outside of that private network These private networks are often referred to as intranets, as they often use the same "internet technology" (eg, the same types of host, routers, links, protocols, and standards) as the public Internet

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